Journal of High Energy Physics, ISSN 1126-6708, 2/2010, Volume 2010, Issue 2, pp. 1 - 62

We propose a correspondence between loop operators in a family of four dimensional $$ \mathcal{N} $$ = 2 gauge theories on S 4 â€” including Wilson, â€˜t Hooft and...

Duality in Gauge Field Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | Duality in gauge field theories | WILSON LOOPS | SYMMETRY | SPACES | QUANTUM | MONOPOLES | QUANTIZATION | GRAVITY | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Duality in Gauge Field Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | Duality in gauge field theories | WILSON LOOPS | SYMMETRY | SPACES | QUANTUM | MONOPOLES | QUANTIZATION | GRAVITY | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Physics - 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...

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

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

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2011, Volume 2011, Issue 5, pp. 1 - 23

We study Euclidean 3D $ \mathcal{N} = 2 $ supersymmetric gauge theories on squashed three-spheres preserving isometries SU(2) Ã— U(1) or U(1) Ã— U(1). We show...

Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | PHYSICS, PARTICLES & FIELDS | Murder | Analysis | Physics - High Energy Physics - Theory

Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | PHYSICS, PARTICLES & FIELDS | Murder | Analysis | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2013, Volume 2013, Issue 5, pp. 1 - 42

We use the 5-sphere partition functions of supersymmetric Yang-Mills theories to explore the (2, 0) superconformal theory on S 5 Ã— S 1. The 5d theories can be...

Brane Dynamics in Gauge Theories | M-Theory | Supersymmetric gauge theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INSTANTONS | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Reduction | Partitions | Gauge theory | Yang-Mills theory | Gages | Supergravity | Gauges | Physics - High Energy Physics - Theory

Brane Dynamics in Gauge Theories | M-Theory | Supersymmetric gauge theory | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INSTANTONS | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Reduction | Partitions | Gauge theory | Yang-Mills theory | Gages | Supergravity | Gauges | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2011, Volume 2011, Issue 3, pp. 1 - 14

We extend theformulaforpartitionfunctions of $$\mathcal{N}=2 $$ superconformalgauge theories on S 3 obtained recently by Kapustin, Willett and Yaakov, to...

Duality in Gauge Field Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | Duality in gauge field theories | SUPERSYMMETRY | SYMMETRY | SPACE-TIME RXS3 | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Duality in Gauge Field Theories | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Field theories in lower dimensions | Duality in gauge field theories | SUPERSYMMETRY | SYMMETRY | SPACE-TIME RXS3 | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2012, Volume 2012, Issue 4, pp. 1 - 59

In this article we explore the duality between the low energy effective theory of five-dimensional $ \mathcal{N} = {1}\,{\text{SU}}{(N)^{{M - {1}}} $ and SU(M)...

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 | Supersymmetry and duality | Topological strings | M-theory | TOPOLOGICAL STRING AMPLITUDES | YANG-MILLS THEORY | DEFORMED MATRIX MODEL | AGT CONJECTURE | INTEGRABLE SYSTEMS | LIOUVILLE FIELD-THEORY | N=2 SUPERSYMMETRIC QCD | WITTEN | CONFORMAL BLOCKS | FIXED-POINTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | fixed-points | topological string amplitudes | liouville field-theory | matrix models | yang-mills theory | n=2 supersymmetric | agt | conformal blocks | Fysik | conjecture | Physical Sciences | qcd | witten | integrable systems

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 | Supersymmetry and duality | Topological strings | M-theory | TOPOLOGICAL STRING AMPLITUDES | YANG-MILLS THEORY | DEFORMED MATRIX MODEL | AGT CONJECTURE | INTEGRABLE SYSTEMS | LIOUVILLE FIELD-THEORY | N=2 SUPERSYMMETRIC QCD | WITTEN | CONFORMAL BLOCKS | FIXED-POINTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | fixed-points | topological string amplitudes | liouville field-theory | matrix models | yang-mills theory | n=2 supersymmetric | agt | conformal blocks | Fysik | conjecture | Physical Sciences | qcd | witten | integrable systems

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2015, Volume 2015, Issue 11, pp. 1 - 26

We delineate a procedure to classify 6d N = (1, 0) gauge theories composed, in part, of a semi-simple gauge group and hypermultiplets. We classify these...

Anomalies in Field and String Theories | Field Theories in Higher Dimensions | Supersymmetric gauge theory | MATRIX DESCRIPTION | PHYSICS, PARTICLES & FIELDS

Anomalies in Field and String Theories | Field Theories in Higher Dimensions | Supersymmetric gauge theory | MATRIX DESCRIPTION | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 5/2013, Volume 2013, Issue 5, pp. 1 - 71

We compute exactly the partition function of two dimensional $ \mathcal{N} $ = (2, 2) gauge theories on S 2 and show that it admits two dual descriptions:...

Supersymmetric gauge theory | Quantum Physics | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Partitions | Correlation | Gauge theory | Mathematical analysis | Mathematical models | Modular | Two dimensional

Supersymmetric gauge theory | Quantum Physics | Sigma Models | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Partitions | Correlation | Gauge theory | Mathematical analysis | Mathematical models | Modular | Two dimensional

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 12/2004, Volume 252, Issue 1, pp. 189 - 258

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To...

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | Physics | Statistical Physics | GLUON | MODELS | INSTANTONS | SUPERSYMMETRIC YANG | HIGH-ENERGIES | MULTIPLE BREMSSTRAHLUNG | DUALITY | HELICITY AMPLITUDES | 3-LOOP BETA-FUNCTION | PHYSICS, MATHEMATICAL | GRAVITY

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | Physics | Statistical Physics | GLUON | MODELS | INSTANTONS | SUPERSYMMETRIC YANG | HIGH-ENERGIES | MULTIPLE BREMSSTRAHLUNG | DUALITY | HELICITY AMPLITUDES | 3-LOOP BETA-FUNCTION | PHYSICS, MATHEMATICAL | GRAVITY

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 11/2017, Volume 924, Issue C, pp. 588 - 602

In this paper, we will analyse the topological defects in a deformation of a non-abelian gauge theory using the Polyakov variables. The gauge theory will be...

FIELDS | PHYSICAL CONSEQUENCES | GENERALIZED UNCERTAINTY PRINCIPLE | MINIMAL LENGTH | DUALIZED STANDARD MODEL | MONOPOLES | OPTICS | SUPERLOOP SPACE | SUPERSYMMETRIC DUALITY | QUANTUM-GRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | High Energy Physics - Theory | Lattice

FIELDS | PHYSICAL CONSEQUENCES | GENERALIZED UNCERTAINTY PRINCIPLE | MINIMAL LENGTH | DUALIZED STANDARD MODEL | MONOPOLES | OPTICS | SUPERLOOP SPACE | SUPERSYMMETRIC DUALITY | QUANTUM-GRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics | High Energy Physics - Theory | Lattice

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 9/2018, Volume 2018, Issue 9, pp. 1 - 57

One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a partial tensor branch, all known theories resemble quiver gauge theories with...

Brane Dynamics in Gauge Theories | F-Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SINGULARITIES | INSTANTONS | MANN LOW FUNCTION | BRANES | COMPACTIFICATIONS | DYNAMICS | DUALITY | FIXED-POINTS | PHYSICS, PARTICLES & FIELDS | Quarks | Analysis | Astronomy | Resveratrol | Riemann surfaces | Model matching | Flavor (particle physics) | Field theory | Fluxes | Confining | Intersections | Branes | Quantum chromodynamics | Physics - High Energy Physics - Theory | Fysik | Physical Sciences | Subatomic Physics | Naturvetenskap | SubatomÃ¤r fysik | Natural Sciences

Brane Dynamics in Gauge Theories | F-Theory | Supersymmetric Gauge Theory | Quantum Physics | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SINGULARITIES | INSTANTONS | MANN LOW FUNCTION | BRANES | COMPACTIFICATIONS | DYNAMICS | DUALITY | FIXED-POINTS | PHYSICS, PARTICLES & FIELDS | Quarks | Analysis | Astronomy | Resveratrol | Riemann surfaces | Model matching | Flavor (particle physics) | Field theory | Fluxes | Confining | Intersections | Branes | Quantum chromodynamics | Physics - High Energy Physics - Theory | Fysik | Physical Sciences | Subatomic Physics | Naturvetenskap | SubatomÃ¤r fysik | Natural Sciences

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 4/2013, Volume 2013, Issue 4, pp. 1 - 37

We prove a recent conjecture that the partition function of $ \mathcal{N} $ = (2, 2) gauge theories on the two-sphere which flow to Calabi-Yau sigma models in...

Supersymmetric gauge theory | Quantum Physics | Sigma Models | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | MANIFOLDS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Supersymmetric gauge theory | Quantum Physics | Sigma Models | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | MANIFOLDS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2016, Volume 2016, Issue 8, pp. 1 - 86

We study three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric gauge theories on Î£ g Ã— S 1 with a topological twist along Î£ g , a genus-g Riemann surface....

t Hooft and Polyakov loops | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Wilson | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | LOCALIZATION | FIELD-THEORIES | MONOPOLES | ELLIPTIC GENERA | DIMENSIONS | DYNAMICS | DUALITY | DIAGONALIZATION | VACUA | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Supersymmetry | Riemann surfaces | Gauge theory | Computation | Mathematical analysis | Derivation | Texts | Cleaning | Symmetry | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

t Hooft and Polyakov loops | Supersymmetric gauge theory | Field Theories in Lower Dimensions | Wilson | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | LOCALIZATION | FIELD-THEORIES | MONOPOLES | ELLIPTIC GENERA | DIMENSIONS | DYNAMICS | DUALITY | DIAGONALIZATION | VACUA | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Supersymmetry | Riemann surfaces | Gauge theory | Computation | Mathematical analysis | Derivation | Texts | Cleaning | Symmetry | Physics - High Energy Physics - Theory | High Energy Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2016, Volume 2016, Issue 12, pp. 1 - 46

Gauge-invariant operators can be specified by equivalence classes of permutations. We develop this idea concretely for the singlets of the flavour group SO(N f...

Supersymmetric gauge theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CORRELATORS | FIELD-THEORIES | N=4 SYM | OPERATOR PRODUCT EXPANSION | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS | Permutations | Operators | Gauge theory | Equivalence | Mathematical analysis | Field theory | Linear operators | Flavours | Nuclear and High Energy Physics | High Energy Physics - Theory | Mathematics - Representation Theory

Supersymmetric gauge theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CORRELATORS | FIELD-THEORIES | N=4 SYM | OPERATOR PRODUCT EXPANSION | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS | Permutations | Operators | Gauge theory | Equivalence | Mathematical analysis | Field theory | Linear operators | Flavours | Nuclear and High Energy Physics | High Energy Physics - Theory | Mathematics - Representation Theory

Journal Article