Two-Loop Spectroscopy of Short ABJM Operators

Abstract

We study the spectrum of anomalous dimensions of short operators in planar ABJM theory at two loops. Specifically we develop a method for solving the OSp(6|4) Bethe ansatz equations for a certain class of unpaired length-4 states with arbitrarily high number of excitations, and apply it to identify three new sequences of rational eigenvalues. Results for low-lying paired states in the OSp(4|2) sector are obtained by direct diagonalization of the spin chain Hamiltonian. We also study the SL(2|1) sector and identify the set of states that corresponds to the SL(2)-like Bethe ansatz of Gromov and Vieira. Finally we extend part of our analysis to length-6 operators.

35 pages, 3 figures. v2:Minor clarifications added and typos corrected; to appear in JHEP

References in corpus (19)

• 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
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• N=4 Superconformal Characters and Partition Functions
• Magnon dispersion to four loops in the ABJM and ABJ models
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Non-planar ABJM Theory and Integrability
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• The Morphology of N=6 Chern-Simons Theory
• On the absence of reflection in AdS4/CFT3
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory

Cited by in corpus (8)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• ABJM quantum spectral curve and Mellin transform
• The Leading Order Dressing Phase in ABJM Theory
• 12 loops and triple wrapping in ABJM theory from integrability