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.
Keywords
Cite
@article{arxiv.0911.2220,
title = {Two-Loop Spectroscopy of Short ABJM Operators},
author = {Georgios Papathanasiou and Marcus Spradlin},
journal= {arXiv preprint arXiv:0911.2220},
year = {2010}
}
Comments
35 pages, 3 figures. v2:Minor clarifications added and typos corrected; to appear in JHEP