Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2017, Volume 50, Issue 44, p. 443017

We review some recent developments in the 6 dimensional (2, 0) super-conformal field theories, focusing on their Bogomol'nyi-Prasad-Sommerfield (BPS...

BPS spectra | super-Yang-Mills theory | 6 dimensional (2, 0) superconformal field theories | GAUGE-THEORIES | F-THEORY | PHYSICS, MULTIDISCIPLINARY | COMPACTIFICATIONS | PHYSICS, MATHEMATICAL | 6 dimensional (2,0) superconformal field theories | ELLIPTIC GENERA

BPS spectra | super-Yang-Mills theory | 6 dimensional (2, 0) superconformal field theories | GAUGE-THEORIES | F-THEORY | PHYSICS, MULTIDISCIPLINARY | COMPACTIFICATIONS | PHYSICS, MATHEMATICAL | 6 dimensional (2,0) superconformal field theories | ELLIPTIC GENERA

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2017, Volume 2017, Issue 8, pp. 1 - 39

Defects in field theories break translation invariance, resulting in the non-conservation of the energy-momentum tensor in the directions normal to the defect...

Superspaces | Space-Time Symmetries | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | HOLOGRAPHY | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Energy consumption | Energy conservation | Defects | Physics - High Energy Physics - Theory | High Energy Physics | hep-th | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Superspaces | Space-Time Symmetries | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | HOLOGRAPHY | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Energy consumption | Energy conservation | Defects | Physics - High Energy Physics - Theory | High Energy Physics | hep-th | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2014, Volume 2014, Issue 1, pp. 1 - 65

In this article we use 5-brane junctions to study the 5D T N SCFTs corresponding to the 5D $ \mathcal{N} $ = 1 uplift of the 4D $ \mathcal{N} $ = 2 strongly...

Topological Strings | M-Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | BPS SPECTRUM | NONCRITICAL STRINGS | CALABI-YAU THREEFOLDS | GLOBAL SYMMETRY | DIMENSIONS | GAUGE-THEORIES | F-THEORY | SUPERCONFORMAL FIXED-POINTS | TOROIDAL COMPACTIFICATION | SUSY FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Partitions | Joining | Gauge theory | Uplift | Branes | Physics - High Energy Physics - Theory | membrane model | Nuclear and High Energy Physics | Theory | conformal [field theory] | Mathematics | High Energy Physics - Theory | 1 [supersymmetry] | compactification | High Energy Physics | Symplectic Geometry | strong coupling [gauge field theory] | sphere | 5 [dimension] | partition function | 2 [supersymmetry] | deformation | n-point function | Toda [field theory]

Topological Strings | M-Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | BPS SPECTRUM | NONCRITICAL STRINGS | CALABI-YAU THREEFOLDS | GLOBAL SYMMETRY | DIMENSIONS | GAUGE-THEORIES | F-THEORY | SUPERCONFORMAL FIXED-POINTS | TOROIDAL COMPACTIFICATION | SUSY FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Partitions | Joining | Gauge theory | Uplift | Branes | Physics - High Energy Physics - Theory | membrane model | Nuclear and High Energy Physics | Theory | conformal [field theory] | Mathematics | High Energy Physics - Theory | 1 [supersymmetry] | compactification | High Energy Physics | Symplectic Geometry | strong coupling [gauge field theory] | sphere | 5 [dimension] | partition function | 2 [supersymmetry] | deformation | n-point function | Toda [field theory]

Journal Article

The journal of high energy physics, ISSN 1126-6708, 12/2017, Volume 2017, Issue 12, pp. 1 - 57

We study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories...

AdS-CFT Correspondence | Renormalization Group | Anomalies in Field and String Theories | Nuclear and High Energy Physics | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | N=4 | FIELD-THEORIES | SUPERCONFORMAL ALGEBRAS | SYM | FORMULAS | GAUGED SUPERGRAVITY | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Holography | Field theory | M theory | Supergravity | Uplift | Branes | Physics - High Energy Physics - Theory | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

AdS-CFT Correspondence | Renormalization Group | Anomalies in Field and String Theories | Nuclear and High Energy Physics | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | N=4 | FIELD-THEORIES | SUPERCONFORMAL ALGEBRAS | SYM | FORMULAS | GAUGED SUPERGRAVITY | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Holography | Field theory | M theory | Supergravity | Uplift | Branes | Physics - High Energy Physics - Theory | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2018, Volume 2018, Issue 7, pp. 1 - 58

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs...

Conformal Field Theory | AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ADS/CFT | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Couplings | Stress tensors | Tensors | Particle spin | Mathematical analysis | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Conformal Field Theory | AdS-CFT Correspondence | Gauge-gravity correspondence | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ADS/CFT | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Couplings | Stress tensors | Tensors | Particle spin | Mathematical analysis | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 04/2012, Volume 100, Issue 1, pp. 97 - 118

Superconformal indices (SCIs) of 4d N = 4 SYM theories with simple gauge groups are described in terms of elliptic hypergeometric integrals. For F4, E6, E7, E8...

S-duality | superconformal index | elliptic hypergeometric integrals | GAUGE-THEORIES | MONOPOLES | PHYSICS, MATHEMATICAL | OPERATORS

S-duality | superconformal index | elliptic hypergeometric integrals | GAUGE-THEORIES | MONOPOLES | PHYSICS, MATHEMATICAL | OPERATORS

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 2/2019, Volume 2019, Issue 2, pp. 1 - 110

We analyze four-dimensional quantum field theories with continuous 2-group global symmetries...

Anomalies in Field and String Theories | Global Symmetries | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORY | REPRESENTATIONS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Stress tensors | Broken symmetry | Flavor (particle physics) | Deformation mechanisms | Group theory | Gravitational fields | Strings | Tensors | Current algebra | Mathematical analysis | Dimensional analysis | Gauging | Gaging | Transformations | Quantum theory | Symmetry | Anomalies | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | flavor: 2 | symmetry breaking | tensor: energy-momentum | symmetry: global, anomaly: Green-Schwarz | string: excited state | dimension: 4 | symmetry: space-time | field theory | symmetry: flavor | gravitation | background | conservation law | Ward identity | abelian | deformation | holography | gauge field theory | topological | transformation: gauge | renormalization group: flow | current algebra | quantization

Anomalies in Field and String Theories | Global Symmetries | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DIMENSIONS | GAUGE-THEORY | REPRESENTATIONS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Stress tensors | Broken symmetry | Flavor (particle physics) | Deformation mechanisms | Group theory | Gravitational fields | Strings | Tensors | Current algebra | Mathematical analysis | Dimensional analysis | Gauging | Gaging | Transformations | Quantum theory | Symmetry | Anomalies | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | flavor: 2 | symmetry breaking | tensor: energy-momentum | symmetry: global, anomaly: Green-Schwarz | string: excited state | dimension: 4 | symmetry: space-time | field theory | symmetry: flavor | gravitation | background | conservation law | Ward identity | abelian | deformation | holography | gauge field theory | topological | transformation: gauge | renormalization group: flow | current algebra | quantization

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2019, Volume 2019, Issue 3, pp. 1 - 29

We compute the Schur index of Argyres-Douglas theories of type (A N −1 ,A M −1) with surface operators inserted, via the Higgsing prescription proposed by D....

Duality in Gauge Field Theories | Conformal Field Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODELS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Operators (mathematics) | Modules

Duality in Gauge Field Theories | Conformal Field Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MODELS | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Algebra | Operators (mathematics) | Modules

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 9/2019, Volume 2019, Issue 9, pp. 1 - 30

We study irregular states of rank-two and three in Liouville theory, based on an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states,...

Conformal Field Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ROOT | ALGEBRA | UNITY | LIMIT | CONFORMAL BLOCK | SUPERCONFORMAL FIELD-THEORIES | NEKRASOV | MATRIX MODEL | EXPANSION | PHYSICS, PARTICLES & FIELDS | Partitions (mathematics) | Partitions | Field theory | Asymptotic series | Flavor (particle physics) | Parameter identification

Conformal Field Theory | Extended Supersymmetry | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ROOT | ALGEBRA | UNITY | LIMIT | CONFORMAL BLOCK | SUPERCONFORMAL FIELD-THEORIES | NEKRASOV | MATRIX MODEL | EXPANSION | PHYSICS, PARTICLES & FIELDS | Partitions (mathematics) | Partitions | Field theory | Asymptotic series | Flavor (particle physics) | Parameter identification

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2016, Volume 2016, Issue 1, pp. 1 - 38

... $$ field theories, which counts local operators, and the spectrum of BPS particles on the Coulomb branch...

Supersymmetric gauge theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | ALGEBRAS | REPRESENTATIONS | MODELS | 5D SYM | SUPERCONFORMAL FIELD-THEORIES | CHARACTERS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Operators (mathematics) | Coulomb friction | Quantum electrodynamics | Texts | Field theory | Two dimensional | Counting | Nuclear and High Energy Physics | High Energy Physics - Theory | Mathematics - Combinatorics | Mathematics - Representation Theory

Supersymmetric gauge theory | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | ALGEBRAS | REPRESENTATIONS | MODELS | 5D SYM | SUPERCONFORMAL FIELD-THEORIES | CHARACTERS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Operators (mathematics) | Coulomb friction | Quantum electrodynamics | Texts | Field theory | Two dimensional | Counting | Nuclear and High Energy Physics | High Energy Physics - Theory | Mathematics - Combinatorics | Mathematics - Representation Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 39

Modular invariance is known to constrain the spectrum of 2d conformal field theories...

Field Theories in Lower Dimensions | Quantum Physics | Sigma Models | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHARACTER FORMULAS | CONFORMAL SYMMETRY | STRING COMPACTIFICATION | N=2 SUPERCONFORMAL ALGEBRAS | OPERATOR PRODUCT EXPANSION | QUANTUM-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Partitions | Field theory | Modular | Invariance | Upper bounds | Symmetry | Physics - High Energy Physics - Theory

Field Theories in Lower Dimensions | Quantum Physics | Sigma Models | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | CHARACTER FORMULAS | CONFORMAL SYMMETRY | STRING COMPACTIFICATION | N=2 SUPERCONFORMAL ALGEBRAS | OPERATOR PRODUCT EXPANSION | QUANTUM-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Partitions | Field theory | Modular | Invariance | Upper bounds | Symmetry | Physics - High Energy Physics - Theory

Journal Article

12.
Full Text
Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space

Letters in Mathematical Physics, ISSN 0377-9017, 9/2014, Volume 104, Issue 9, pp. 1147 - 1188

We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet...

Geometry | 18F99 | Theoretical, Mathematical and Computational Physics | 53C28 | superconformal field theories | Group Theory and Generalizations | 14D21 | Statistical Physics, Dynamical Systems and Complexity | twistors | higher gauge theory | Physics | NONLINEAR GRAVITONS | INVARIANT ACTIONS | SUPERGRAVITY | INSTANTONS | GERBES | EQUATIONS | DIFFERENTIAL GEOMETRY | PHYSICS, MATHEMATICAL | GAUGE-THEORY | LORENTZ | DUALITY

Geometry | 18F99 | Theoretical, Mathematical and Computational Physics | 53C28 | superconformal field theories | Group Theory and Generalizations | 14D21 | Statistical Physics, Dynamical Systems and Complexity | twistors | higher gauge theory | Physics | NONLINEAR GRAVITONS | INVARIANT ACTIONS | SUPERGRAVITY | INSTANTONS | GERBES | EQUATIONS | DIFFERENTIAL GEOMETRY | PHYSICS, MATHEMATICAL | GAUGE-THEORY | LORENTZ | DUALITY

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2018, Volume 2018, Issue 2, pp. 1 - 17

We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with OSp(8∗|4...

Conformal Field Theory | M-Theory | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | ONE-LOOP | 6 DIMENSIONS | D=6 | OPERATORS | LARGE-N LIMIT | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | String theory | Mathematical analysis | M theory | Field theory | Quantum field theory | Supergravity | Quantum theory | Physics - High Energy Physics - Theory | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Conformal Field Theory | M-Theory | Supersymmetric Gauge Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | ONE-LOOP | 6 DIMENSIONS | D=6 | OPERATORS | LARGE-N LIMIT | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | String theory | Mathematical analysis | M theory | Field theory | Quantum field theory | Supergravity | Quantum theory | Physics - High Energy Physics - Theory | High Energy Physics | Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2012, Volume 2012, Issue 2, pp. 1 - 31

We study $ \mathcal{N} = {2} $ supersymmetric SU(2) gauge theories coupled to non-Lagrangian superconformal field theories induced by compactifying the six dimensional A1 (2,0...

Integrable Field Theories | Supersymmetric gauge theory | Extended Supersymmetry | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Extended supersymmetry | Conformal and W symmetry | Integrable field theories | N=2 | CONFORMAL SYMMETRY | DUALITY | MONOPOLES | MODEL | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Riemann surfaces

Integrable Field Theories | Supersymmetric gauge theory | Extended Supersymmetry | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Extended supersymmetry | Conformal and W symmetry | Integrable field theories | N=2 | CONFORMAL SYMMETRY | DUALITY | MONOPOLES | MODEL | SUPERCONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Riemann surfaces

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2012, Volume 2012, Issue 1, pp. 1 - 26

The four point functions of Conformal Field Theories (CFT’s) with global symmetries give rise to multiple crossing symmetry constraints...

Superspaces | Global Symmetries | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Global symmetries | Conformal and w symmetry | GAUGE-THEORIES | REPRESENTATIONS | OPERATOR PRODUCT EXPANSION | N=1 SUPERCONFORMAL SYMMETRY | POSITIVE ENERGY | QUANTUM-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Correlation analysis | Scalars | Field theory | Sum rules | Representations | Symmetry

Superspaces | Global Symmetries | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Global symmetries | Conformal and w symmetry | GAUGE-THEORIES | REPRESENTATIONS | OPERATOR PRODUCT EXPANSION | N=1 SUPERCONFORMAL SYMMETRY | POSITIVE ENERGY | QUANTUM-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Correlation analysis | Scalars | Field theory | Sum rules | Representations | Symmetry

Journal Article