Journal of High Energy Physics, ISSN 1126-6708, 09/2018, Volume 2018, Issue 9

We elaborate on the low-energy effective action of 6D, N = (1, 1) supersymmetric Yang-Mills (SYM) theory in the N = (1, 0) harmonic superspace formulation. The...

Superspaces | Extended Supersymmetry | Supersymmetric Gauge Theory | ONE-LOOP DIVERGENCES | N=4 SYM | BEHAVIOR | BACKGROUND FIELD METHOD | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS

Superspaces | Extended Supersymmetry | Supersymmetric Gauge Theory | ONE-LOOP DIVERGENCES | N=4 SYM | BEHAVIOR | BACKGROUND FIELD METHOD | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 03/2018, Volume 778, Issue C, pp. 252 - 255

We consider 6D, N=(1,1) supersymmetric Yangâ€“Mills theory formulated in N=(1,0) harmonic superspace and analyze the structure of the two-loop divergences in the...

ONE-LOOP DIVERGENCES | SUPERSYMMETRY | ULTRAVIOLET DIVERGENCES | FINITENESS | N=4 YANG-MILLS | CHIRAL ANOMALIES | BEHAVIOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | High Energy Physics | Theory | High Energy Physics - Theory | Physics

ONE-LOOP DIVERGENCES | SUPERSYMMETRY | ULTRAVIOLET DIVERGENCES | FINITENESS | N=4 YANG-MILLS | CHIRAL ANOMALIES | BEHAVIOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PHYSICS, PARTICLES & FIELDS | High Energy Physics | Theory | High Energy Physics - Theory | Physics

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2004, Volume 702, Issue 1, pp. 49 - 85

Beginning with the planar limit of N = 4 SYM theory, we study planar diagrams for field theory deformations of N = 4 which are marginal at the free field...

DILATATION OPERATOR | YANG-BAXTER EQUATION | WAVE | GAUGE-THEORY | QCD | FIELD-THEORIES | MILLS THEORY | N=4 SYM | ADS X S-5 | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

DILATATION OPERATOR | YANG-BAXTER EQUATION | WAVE | GAUGE-THEORY | QCD | FIELD-THEORIES | MILLS THEORY | N=4 SYM | ADS X S-5 | STRING THEORY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2008, Volume 790, Issue 3, pp. 432 - 464

The free field partition function for a generic U ( N ) gauge theory, where the fundamental fields transform in the adjoint representation, is analysed in...

Partition functions | Gauge theory | [formula omitted] super-Yangâ€“Mills | Characters | N = 4 super-Yang-Mills | TRANSITION | gauge theory | characters | partition functions | N=4 super-Yang-Mills | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Partition functions | Gauge theory | [formula omitted] super-Yangâ€“Mills | Characters | N = 4 super-Yang-Mills | TRANSITION | gauge theory | characters | partition functions | N=4 super-Yang-Mills | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, ISSN 0370-2693, 04/2004, Volume 586, Issue 1-2, pp. 106 - 116

Using the integrable spin chain picture we study the one-loop anomalous dimension of certain single trace scalar operators of N=4 SYM expected to correspond to...

75.10.Im | AdS/CFT correspondence | 11.15.-q | 11.15.Pg | N=4 SYM | 11.25.Hf | 02.30.Rz | Integrable systems | Spinning strings | SO spin chain

75.10.Im | AdS/CFT correspondence | 11.15.-q | 11.15.Pg | N=4 SYM | 11.25.Hf | 02.30.Rz | Integrable systems | Spinning strings | SO spin chain

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 729, Issue 3, pp. 581 - 593

We investigate various perturbative properties of the deformed N = 4 SYM theory. We carry out a three-loops calculation of the chiral matter superfield...

PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 03/2011, Volume 697, Issue 4, pp. 370 - 377

A duality relation has been proposed between the planar gluon MHV amplitudes and light-like Wilson loops in N=4 super Yangâ€“Mills. At six-point two-loop, the...

Wilson loop | MHV amplitude | [formula omitted] super Yangâ€“Mills | N=4 super Yang-Mills | RESUMMATION | QCD | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | SUDAKOV FORM-FACTOR | AMPLITUDES | SCATTERING | ASYMPTOTIC-BEHAVIOR | PHYSICS, PARTICLES & FIELDS | Amplitudes | Gluons | Hexagons | Mathematical analysis | Elementary particles | Kinematics | Representations | Physics - High Energy Physics - Theory

Wilson loop | MHV amplitude | [formula omitted] super Yangâ€“Mills | N=4 super Yang-Mills | RESUMMATION | QCD | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | SUDAKOV FORM-FACTOR | AMPLITUDES | SCATTERING | ASYMPTOTIC-BEHAVIOR | PHYSICS, PARTICLES & FIELDS | Amplitudes | Gluons | Hexagons | Mathematical analysis | Elementary particles | Kinematics | Representations | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 843, Issue 1, pp. 223 - 254

The supersymmetry transformation relating the Konishi operator to its lowest descendant in the 10 of SU ( 4 ) is not manifest in the N = 1 formulation of the...

[formula omitted] SYM | Konishi anomaly | Superconformal field theory in four dimensions | N=4 SYM | DILATATION OPERATOR | UNIVERSALITY | DIMENSIONS | MULTILOOP FEYNMAN-INTEGRALS | SYMMETRY | CURRENTS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Analysis | Algorithms

[formula omitted] SYM | Konishi anomaly | Superconformal field theory in four dimensions | N=4 SYM | DILATATION OPERATOR | UNIVERSALITY | DIMENSIONS | MULTILOOP FEYNMAN-INTEGRALS | SYMMETRY | CURRENTS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Analysis | Algorithms

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2004, Volume 699, Issue 1, pp. 151 - 173

We study spin models underlying the non-planar dynamics of N = 4 SYM gauge theory. In particular, we derive the non-local spin chain Hamiltonian corresponding...

CORRELATORS | GAUGE-THEORY | N=4 SYM | STRING SOLUTIONS | PENROSE LIMITS | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

CORRELATORS | GAUGE-THEORY | N=4 SYM | STRING SOLUTIONS | PENROSE LIMITS | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2006, Volume 754, Issue 3, pp. 329 - 350

We prove that the chiral propagator of the deformed N = 4 SYM theory can be made finite to all orders in perturbation theory for any complex value of the...

BETA-FUNCTION | SUPERSYMMETRY | SYMMETRY | DEFORMATIONS | DUALITY | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

BETA-FUNCTION | SUPERSYMMETRY | SYMMETRY | DEFORMATIONS | DUALITY | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 10/2011, Volume 169, Issue 1, pp. 1390 - 1404

We discuss the latest progress in understanding the infrared behavior of inclusive cross sections and the form factors for the so-called half-BPS operators in...

infrared-finite observable | N =4 maximally supersymmetric Yang-Mills theory | Theoretical, Mathematical and Computational Physics | form factor | N =1 superspace | maximally helicity-violating amplitude | Applications of Mathematics | Physics | N=1 superspace | N=4 maximally supersymmetric Yang-Mills theory | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | SUPER-YANG-MILLS | LOOPS | PHYSICS, MATHEMATICAL | SCATTERING

infrared-finite observable | N =4 maximally supersymmetric Yang-Mills theory | Theoretical, Mathematical and Computational Physics | form factor | N =1 superspace | maximally helicity-violating amplitude | Applications of Mathematics | Physics | N=1 superspace | N=4 maximally supersymmetric Yang-Mills theory | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | SUPER-YANG-MILLS | LOOPS | PHYSICS, MATHEMATICAL | SCATTERING

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2018, Volume 51, Issue 48, p. 485202

Conventionally, factorized scattering in two dimensions is argued to be a consequence of the conservation of local higher charges. However, integrability may...

Yangian symmetry | dynamic spin chains | N = 4 SYM theory | factorized S-matrix | AdS/CFT duality | nonlocal symmetries | INTEGRABILITY | PHYSICS, MULTIDISCIPLINARY | CHARGES | MULTIPARTICLE S-MATRIX | PHYSICS, MATHEMATICAL | PARTICLE-PRODUCTION | ELECTRONIC MODEL | N=4 SYM theory | nonlocal synunetries | ABSENCE

Yangian symmetry | dynamic spin chains | N = 4 SYM theory | factorized S-matrix | AdS/CFT duality | nonlocal symmetries | INTEGRABILITY | PHYSICS, MULTIDISCIPLINARY | CHARGES | MULTIPARTICLE S-MATRIX | PHYSICS, MATHEMATICAL | PARTICLE-PRODUCTION | ELECTRONIC MODEL | N=4 SYM theory | nonlocal synunetries | ABSENCE

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 03/2015, Volume 30, Issue 8, p. 1542005

In this review we present our model which is an example of the self-consistent approach that incorporates our theoretical understanding of long distance...

perturbative QCD | Pomeron calculus | saturation | models for soft interaction | N = 4 SYM | diffraction and inclusive production | ENERGY | RAPIDITY GAPS | N=4 SYM | ELASTIC-SCATTERING | DIFFRACTION DISSOCIATION | PHYSICS, NUCLEAR | PROTON CROSS-SECTION | NUCLEUS-NUCLEUS | QCD | ZERO TRANSVERSE DIMENSIONS | HADRON-NUCLEUS | POMERON LOOPS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

perturbative QCD | Pomeron calculus | saturation | models for soft interaction | N = 4 SYM | diffraction and inclusive production | ENERGY | RAPIDITY GAPS | N=4 SYM | ELASTIC-SCATTERING | DIFFRACTION DISSOCIATION | PHYSICS, NUCLEAR | PROTON CROSS-SECTION | NUCLEUS-NUCLEUS | QCD | ZERO TRANSVERSE DIMENSIONS | HADRON-NUCLEUS | POMERON LOOPS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Phenomenology

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 08/2008, Volume 78, Issue 4

We give a representation of the parity-even part of the planar two-loop six-gluon maximally helicity violating (MHV) amplitude of N = 4 super-Yang-Mills...

SCATTERING-AMPLITUDES | GAUGE-THEORY | WILSON LOOPS | ASTRONOMY & ASTROPHYSICS | QCD AMPLITUDES | ONE-LOOP AMPLITUDES | STRONG-COUPLING LIMIT | SUDAKOV FORM-FACTOR | N=4 SYM THEORY | TO-LEADING ORDER | ASYMPTOTIC-BEHAVIOR | PHYSICS, PARTICLES & FIELDS

SCATTERING-AMPLITUDES | GAUGE-THEORY | WILSON LOOPS | ASTRONOMY & ASTROPHYSICS | QCD AMPLITUDES | ONE-LOOP AMPLITUDES | STRONG-COUPLING LIMIT | SUDAKOV FORM-FACTOR | N=4 SYM THEORY | TO-LEADING ORDER | ASYMPTOTIC-BEHAVIOR | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 727, Issue 1, pp. 1 - 62

We generalize various existing higher-loop Bethe ansÃ¤tze for simple sectors of the integrable long-range dynamic spin chain describing planar N = 4...

DILATATION OPERATOR | DELTA-FUNCTION INTERACTION | WAVE MATRIX-THEORY | N=4 SYM | SPIN CHAIN | T-J MODEL | SUPER-YANG-MILLS | ADS X S-5 | PP-WAVE | WILSON OPERATORS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis

DILATATION OPERATOR | DELTA-FUNCTION INTERACTION | WAVE MATRIX-THEORY | N=4 SYM | SPIN CHAIN | T-J MODEL | SUPER-YANG-MILLS | ADS X S-5 | PP-WAVE | WILSON OPERATORS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2016, Volume 2016, Issue 1, pp. 1 - 51

We develop a new method for decomposing Witten diagrams into conformal blocks. The steps involved are elementary, requiring no explicit integration, and...

AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCALAR EXCHANGE | SUPERGRAVITY | W Symmetry | FIELD-THEORIES | 4-POINT FUNCTIONS | N=4 SYM | Conformal | ADS/CFT CORRESPONDENCE | PARTIAL-WAVES | OPERATOR-PRODUCT EXPANSION | 4 POINT FUNCTIONS | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS | Exchange | Operators | Construction | Mathematical analysis | Scalars | Joining | Mathematical models | Boundaries | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | conformal and W symmetry | AdS-CFT correspondence | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SCALAR EXCHANGE | SUPERGRAVITY | W Symmetry | FIELD-THEORIES | 4-POINT FUNCTIONS | N=4 SYM | Conformal | ADS/CFT CORRESPONDENCE | PARTIAL-WAVES | OPERATOR-PRODUCT EXPANSION | 4 POINT FUNCTIONS | SUPER-YANG-MILLS | PHYSICS, PARTICLES & FIELDS | Exchange | Operators | Construction | Mathematical analysis | Scalars | Joining | Mathematical models | Boundaries | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory | conformal and W symmetry | AdS-CFT correspondence | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 10/2012, Volume 716, Issue 3-5, pp. 425 - 429

We show in this Letter that we have found a set of parameters in our model for the soft interactions at high energy, that successfully describes all high...

BFKL Pomeron | Diffractive cross sections | [formula omitted] SYM | Soft Pomeron | N=4 SYM | ENERGY | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PROTON CROSS-SECTION | PHYSICS, PARTICLES & FIELDS | Analysis | Universities and colleges | Matching | Mathematical models | Energy (nuclear) | Elementary particles | Pomerons | Physics - High Energy Physics - Phenomenology

BFKL Pomeron | Diffractive cross sections | [formula omitted] SYM | Soft Pomeron | N=4 SYM | ENERGY | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | PROTON CROSS-SECTION | PHYSICS, PARTICLES & FIELDS | Analysis | Universities and colleges | Matching | Mathematical models | Energy (nuclear) | Elementary particles | Pomerons | Physics - High Energy Physics - Phenomenology

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2012, Volume 2012, Issue 12, pp. 1 - 50

We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and...

AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERGRAVITY | YANG-MILLS | N=4 SYM | 4-POINT FUNCTIONS | GAUGE-THEORY | TWIST-2 OPERATORS | OPERATOR PRODUCT EXPANSION | MELLIN TRANSFORMS | AMPLITUDES | ANOMALOUS DIMENSION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SUPERGRAVITY | YANG-MILLS | N=4 SYM | 4-POINT FUNCTIONS | GAUGE-THEORY | TWIST-2 OPERATORS | OPERATOR PRODUCT EXPANSION | MELLIN TRANSFORMS | AMPLITUDES | ANOMALOUS DIMENSION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2014, Volume 2014, Issue 12, pp. 1 - 32

We initiate an exploration of the physics and geometry of the amplituhedron, starting with the simplest case of the integrand for four-particle scattering in...

Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | N=4 SYM | PHYSICS, PARTICLES & FIELDS | Textbooks | Mathematics - Algebraic Geometry | Nuclear and High Energy Physics | High Energy Physics - Theory

Scattering Amplitudes | Supersymmetric gauge theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | N=4 SYM | PHYSICS, PARTICLES & FIELDS | Textbooks | Mathematics - Algebraic Geometry | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 1/2012, Volume 99, Issue 1, pp. 349 - 374

We review the role of integrability in certain aspects of $${\fancyscript{N}=4}$$ SYM which go beyond the planar spectrum. In particular, we discuss...

integrability | {\fancyscript{N}=4}$$ SYM | Theoretical, Mathematical and Computational Physics | Maldacenaâ€“Wilson loops | Statistical Physics, Dynamical Systems and Complexity | Physics | Geometry | 81T13 | three-point functions | AdS/CFT | 81T30 | 81R12 | 81T60 | Group Theory and Generalizations | non-planar anomalous dimensions | N = 4 SYM | Maldacena-Wilson loops |

integrability | {\fancyscript{N}=4}$$ SYM | Theoretical, Mathematical and Computational Physics | Maldacenaâ€“Wilson loops | Statistical Physics, Dynamical Systems and Complexity | Physics | Geometry | 81T13 | three-point functions | AdS/CFT | 81T30 | 81R12 | 81T60 | Group Theory and Generalizations | non-planar anomalous dimensions | N = 4 SYM | Maldacena-Wilson loops |