Twisted Index on Hyperbolic Four-Manifolds

Autor:	Iannotti, Daniele, Pittelli, Antonio
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We introduce the topologically twisted index for four-dimensional $\mathcal N=1$ gauge theories quantized on ${\rm AdS}_2 \times S^1$. We compute the index by applying supersymmetric localization to partition functions of vector and chiral multiplets on ${\rm AdS}_2 \times T^2$, with and without a boundary: in both instances we classify normalizability and boundary conditions for gauge, matter and ghost fields. The index is twisted as the dynamical fields are coupled to a R-symmetry background 1-form with non-trivial exterior derivative and proportional to the spin connection. After regularization the index is written in terms of elliptic gamma functions, reminiscent of four-dimensional holomorphic blocks, and crucially depends on the R-charge. Comment: 22 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.11634 Zobrazit plný text záznamu View this record from Arxiv