The ALE partition functions of M-strings

Autor: Michele Del Zotto, Guglielmo Lockhart
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 4, Pp 1-40 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2024)018
Popis: Abstract We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a two-dimensional torus and an ALE singularity. We determine the result by exploiting BPS strings probing the singularity, whose worldvolume theories we determine via a chain of string dualities. A distinguished feature we observe is that for this class of background the BPS strings’ worldsheet theories become relative field theories that are sensitive to finer discrete data generalizing to 6d the familiar choices of flat connections at infinity for instantons on ALE spaces. We test our proposal against a conjectural 6d N $$ \mathcal{N} $$ = (1, 0) generalization of the Nekrasov master formula, as well as against known results on ALE partition functions in four dimensions.
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