The spectral problem of the ABJ Fermi gas

Understand

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.