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arXiv · 2511.22822

Supersymmetric zeta functions and determinants

Yu Nakayama·Tadashi Okazaki
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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.

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Yu Nakayama, Tadashi Okazaki. 2025-11-28. Supersymmetric zeta functions and determinants. https://doi.org/10.1007/jhep06(2026)003

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