Two-Loop Spectroscopy of Short ABJM Operators

Details Two-Loop Spectroscopy of Short ABJM Operators Two-Loop Spectroscopy of Short ABJM Operators

2009-11-11

arxiv.org/abs/0911.2220v2

JHEP 1002:072,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP02(2010)072

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.

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