TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT

Abstract

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) Lüscher-type corrections for large volumes of the vacuum energy for integrable theories with twisted boundary conditions and twisted S-matrix. We then derive the twisted thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground state, from which we obtain an untwisted Y-system. The two approaches are compared by expanding the TBA equations to NLO, and exact agreement is found. We give explicit results for the O(4) model and for the three-parameter family of $\gamma$-deformed (non-supersymmetric) planar AdS/CFT model, where the ground-state energy can be nontrivial and can acquire finite-size corrections. The NLO corrections, which correspond to double-wrapping diagrams, are explicitly evaluated for the latter model at six loops.

42 pages, 2 figures, v2: references added, v3: minor corrections

References in corpus (18)

• 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
• On String S-matrix, Bound States and TBA
• String hypothesis for the AdS_5 x S^5 mirror
• The S-matrix of String Bound States
• Wronskian Solution for AdS/CFT Y-system
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Twisting the Mirror TBA
• Twisted Bethe equations from a twisted S-matrix
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• The Bajnok-Janik formula and wrapping corrections
• Discrete Hirota dynamics for AdS/CFT
• Twist operators in N=4 beta-deformed theory
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• Comments on the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values

Cited by in corpus (47)

• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Integrable Wilson loops
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Integrability of Conformal Fishnet Theory
• Structure constants at wrapping order
• The Quantum Deformed Mirror TBA I
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Quark--anti-quark potential in N=4 SYM
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Exact Correlation Functions in Conformal Fishnet Theory
• Non-conformality of gamma_i-deformed N=4 SYM theory
• The Quantum Deformed Mirror TBA II
• Flow equations for generalised $T\bar{T}$ deformations
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Continuum limit of fishnet graphs and AdS sigma model
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Hybrid-NLIE for the AdS/CFT spectral problem
• Hexagons and Correlators in the Fishnet Theory
• Six-loop Konishi anomalous dimension from the Y-system
• The spectrum of tachyons in AdS/CFT
• Strong coupling results from the numerical solution of the quantum spectral curve
• Six and seven loop Konishi from Luscher corrections
• Colour-Twist Operators I: Spectrum and Wave Functions
• Exceptional Operators in N=4 super Yang-Mills
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Y-system for Y=0 brane in planar AdS/CFT
• A next-to-leading Luescher formula
• Leading exponential finite size corrections for non-diagonal form factors
• Exact finite volume expectation values of conserved currents
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Bound States in the Mirror TBA
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Finite-size effects of beta-deformed AdS_5/CFT_4 at strong coupling
• Y-system for $\gamma$-deformed ABJM Theory
• Integrability treatment of AdS/CFT orbifolds
• Structure constants of $\beta$ deformed super Yang-Mills
• Correlation functions of determinant operators in conformal fishnet theory
• Contour deformation trick in hybrid NLIE
• Spectral curve for gamma-deformed AdS/CFT