Untwisting the symmetries of $\beta$-deformed Super-Yang--Mills

Abstract

We demonstrate that the planar real-$\beta$-deformed Super-Yang--Mills theory possesses an infinitely-dimensional Yangian symmetry algebra and thus is classically integrable. This is achieved by the introduction of the twisted coproduct which allows us to lift the apparent $\mathcal{N}=1$ supersymmetry first to the full $\mathcal{N}=4$ symmetry of the parent $\mathcal{N}=4$ SYM theory, and subsequently to its Yangian.

arXiv comment6 pages + Appendices, references updated

References in corpus (14)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Review of AdS/CFT Integrability: An Overview
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Lax Pair for Strings in Lunin-Maldacena Background
• A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
• Quantum Symmetries and Marginal Deformations
• Yangians in Deformed Super Yang-Mills Theories

Cited by in corpus (2)

• Yangian Symmetry for the Action of Planar N=4 Super Yang-Mills and N=6 Super Chern-Simons Theories
• Marginal deformations and quasi-Hopf algebras