Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling

Abstract

We compute Luscher corrections for a giant magnon in the η-deformed (AdS_5\times S^5)_η using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived previously. We find that these two results match and confirm that the su(2|2)_q-invariant S-matrix is describing world-sheet excitations of the η-deformed background.

arXiv commentSome relevant references are cited in Introduction along with explanation and added in bibliography

References in corpus (23)

• Gauge Theory Correlators from Non-Critical String Theory
• Review of AdS/CFT Integrability: An Overview
• Giant Magnons
• On integrability of the Yang-Baxter $\si$-model
• An integrable deformation of the AdS_5 x S^5 superstring action
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Finite-size Effects from Giant Magnons
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Quantum Deformations of the One-Dimensional Hubbard Model
• Wrapping interactions at strong coupling -- the giant magnon
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The classical origin of quantum affine algebra in squashed sigma models
• On the classical equivalence of monodromy matrices in squashed sigma model
• Giant magnons in TsT-transformed AdS_5 x S^5
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling

Cited by in corpus (8)

• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• $I$ in generalized supergravity
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes