Supersymmetric zeta functions and determinants
High Energy Physics - Theory
2025-12-01 v1
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.
Keywords
Cite
@article{arxiv.2511.22822,
title = {Supersymmetric zeta functions and determinants},
author = {Yu Nakayama and Tadashi Okazaki},
journal= {arXiv preprint arXiv:2511.22822},
year = {2025}
}
Comments
124 pages, 5 figures