The topologically twisted index of \(\mathcal{N}=4\) super-Yang-Mills on \(T^2 \times S^2\) and the elliptic genus

DOI10.1007/JHEP07(2018)018zbMATH Open1395.81268arXiv1804.04592OpenAlexW3100799868MaRDI QIDQ2413661

Author name not available (Why is that?)

Publication date: 14 September 2018

Published in: (Search for Journal in Brave)

Abstract: We examine the topologically twisted index of

m a t h c a l N = 4

super-Yang-Mills with gauge group

S U (N)

on

T^{2} i m e s S^{2}

, and demonstrate that it receives contributions from multiple sectors corresponding to the freely acting orbifolds

T^{2} / m a t h b b Z_{m} i m e s m a t h b b Z_{n}

where

N = m n

. After summing over these sectors, the index can be expressed as the elliptic genus of a two-dimensional

m a t h c a l N = (0, 2)

theory resulting from Kaluza-Klein reduction on

S^{2}

. This provides an alternate path to the 'high-temperature' limit of the index, and confirms the connection to the right-moving central charge of the

m a t h c a l N = (0, 2)

theory.

Full work available at URL: https://arxiv.org/abs/1804.04592

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