Y-system for $\gamma$-deformed ABJM Theory

Abstract

We investigate the integrable aspects of the planar $\gamma$-deformed ABJM theory and propose the twisted asymptotic Bethe ansatz equations. A more general method through a twisted generating functional is discussed, based on which, the asymptotic large L solution of Y-system is modified in order to match the asymptotic Bethe ansatz equations. Several applications of our method were made in the $sl(2)$-like sector and some important examples in $\beta$-deformed ABJM are presented as well.

26 pages, 1 figure

References in corpus (31)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Fractional M2-branes
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• The Quantum Spectral Curve of the ABJM theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• One-loop corrections to Bagger-Lambert theory
• M-theory branes and their interactions
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Aspects of Multiple Membranes
• Twisting the Mirror TBA
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• 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
• Two-loop cusp anomaly in ABJM at strong coupling
• M-Theory Brane Deformations
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Integrability of Orbifold ABJM Theories
• Notes on Multi-Spin Strings in $Ad{S}_4\times C{P}^3$ and its marginal deformations

Cited by in corpus (7)

• RG stability of integrable fishnet models
• Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Integrable Open Spin Chains from Flavored ABJM Theory
• Integrability of Orbifold ABJM Theories
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$