The spectral problem of the ABJ Fermi gas
High Energy Physics - Theory
2014-07-03 v1
Abstract
The partition function on the three-sphere of ABJ theory can be rewritten into a partition function of a non-interacting Fermi gas, with an accompanying one-particle Hamiltonian. We study the spectral problem defined by this Hamiltonian. We determine the exact WKB quantization condition, which involves quantities from refined topological string theory, and test it successfully against numerical calculations of the spectrum.
Keywords
Cite
@article{arxiv.1407.0625,
title = {The spectral problem of the ABJ Fermi gas},
author = {Johan Kallen},
journal= {arXiv preprint arXiv:1407.0625},
year = {2014}
}
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31 pages