English

Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory

High Energy Physics - Theory 2015-09-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1407.4449,
  title  = {Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory},
  author = {Till Bargheer and Yu-tin Huang and Florian Loebbert and Masahito Yamazaki},
  journal= {arXiv preprint arXiv:1407.4449},
  year   = {2015}
}

Comments

39 pages, 9 figures; v2: references added, typos fixed, section 3.4 improved, published version