Worldsheet S-matrix of beta-deformed SYM

Abstract

We compute perturbative worldsheet S-matrix of beta-deformed AdS/CFT in the strong and weak `t Hooft coupling limit to compare with exact S-matrix. For the purpose we take near BMN limit of TsT-transformed AdS_5 x S^5 with the twisted boundary condition and compute the S-matrix on worldsheet using light-cone gauge fixed Lagrangian. For the weak coupling side, we compute the S-matrix in the SU(3) sector by applying coordinate Bethe ansatz method to the one-loop dilatation operator obtained from the deformed super Yang-Mills theory. These analysis support the conjectured exact S-matrix in the leading order for both sides of beta-deformed AdS/CFT along with appropriate twisted boundary conditions.

12 pages

References in corpus (9)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Twisting the Mirror TBA
• Finite-size effects in the superconformal beta-deformed N=4 SYM
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Twisted Bethe equations from a twisted S-matrix

Cited by in corpus (10)

• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Integrability of the AdS_5 x S^5 superstring and its deformations
• $T\bar{T}$ deformations as TsT transformations
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• The Continuity Method to Deform Cone Angle
• Y-system for $\gamma$-deformed ABJM Theory
• $T^3$ deformations and $\beta$-deformed geometries
• Spectral curve for gamma-deformed AdS/CFT
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime