Supersymmetric zeta functions and determinants
arXiv:2511.22822 · doi:10.1007/JHEP06(2026)003
Abstract
We define supersymmetric zeta functions and supersymmetric determinants, which can reveal spectral properties complementary to those captured by the supersymmetric indices. They play a crucial role in analyzing the Cardy-like behaviors of the supersymmetric indices and the supersymmetric Casimir energies associated with the supersymmetric partition functions. We investigate a variety of examples of the supersymmetric zeta functions and determinants for two-, four-, and six-dimensional supersymmetric field theories.
125 pages, 5 figures, v2: published version in JHEP