Supersymmetry and complexified spectrum on Euclidean AdS$_2$

Autor:	Lezcano, Alfredo González, Jeon, Imtak, Ray, Augniva
Rok vydání:	2023
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	Quantum study of supersymmetric theories on Euclidean two dimensional anti-de Sitter space (AdS$_2$) is invalid if we use the standard normalizable functional basis due to its incompatibility with supersymmetry. We cure this problem by demonstrating that supersymmetry requires complexified spectrum and constructing the supersymmetric basis for scalar and spinor fields. Our new basis is free of fermionic zero modes, delta-function normalizable with respect to a newly defined inner product, and compatible with the supersymmetric asymptotic boundary condition. We also explore the one-loop evaluation using this basis and show that it agrees with the standard nonsupersymmetric basis up to a global contribution arising from the fermion zero mode. Comment: 6 pages, no figure; v2 modified abstract and some clarifications added; v3 appendix added, a reference added, minor grammar corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.12925 Zobrazit plný text záznamu View this record from Arxiv