Published January 12, 2015 | Version v1
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Integrable amplitude deformations for N=4 super Yang-Mills and ABJM theory

Creators

  • 1. DESY Hamburg (Germany). Theory Group
  • 2. Institute for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  • 3. National Taiwan Univ., Taipei (China). Dept. of Physics and Astronomy
  • 4. Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik
  • 5. Tokyo Univ. (Japan). Kavli IPMU (WPI)

Description

We study Yangian-invariant deformations of scattering amplitudes in 4d N=4 supersymmetric Yang-Mills theory and 3d N=6 Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In particular, we obtain the deformed Grassmannian integral for 4d N=4 super Yang-Mills theory, both in momentum and momentum-twistor space. For 3d ABJM theory, we initiate the study of deformed scattering amplitudes. We investigate general deformations of on-shell diagrams, and find the deformed Grassmannian integral for this theory. We furthermore introduce the algebraic R-matrix construction of deformed Yangian invariants for ABJM theory.

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Additional details

Publishing Information

Imprint Pagination
40 p.
ISSN
0418-9833
Report number
DESY--14-128

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
49071674
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGEBRA; FEYNMAN DIAGRAM; FOUR-DIMENSIONAL CALCULATIONS; INTEGRALS; INVARIANCE PRINCIPLES; PHASE SPACE; R MATRIX; SCATTERING AMPLITUDES; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS; TWISTOR THEORY; UNIFIED GAUGE MODELS; YANG-MILLS THEORY
Descriptors DEC
AMPLITUDES; DIAGRAMS; FIELD THEORIES; INFORMATION; MATHEMATICAL MODELS; MATHEMATICAL SPACE; MATHEMATICS; MATRICES; PARTICLE MODELS; QUANTUM FIELD THEORY; SPACE; SYMMETRY

Optional Information

Secondary number(s)
IPMU--14-0157; HU-EP--14-29