Abstract
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 $$ \mathcal{N} $$
N
= (1, 0) generalization of the Nekrasov master formula, as well as against known results on ALE partition functions in four dimensions.
Publisher
Springer Science and Business Media LLC
Reference84 articles.
1. E. Witten, Some comments on string dynamics, in the proceedings of the STRINGS 95: Future Perspectives in String Theory, Los Angeles, U.S.A., March 13–18 (1995) [hep-th/9507121] [INSPIRE].
2. A. Strominger, Open p-branes, Phys. Lett. B 383 (1996) 44 [hep-th/9512059] [INSPIRE].
3. C.-M. Chang, 5d and 6d SCFTs Have No Weak Coupling Limit, JHEP 09 (2019) 016 [arXiv:1810.04169] [INSPIRE].
4. H.-C. Kim and S. Kim, M5-branes from gauge theories on the 5-sphere, JHEP 05 (2013) 144 [arXiv:1206.6339] [INSPIRE].
5. J. Kallen, J.A. Minahan, A. Nedelin and M. Zabzine, N3-behavior from 5D Yang-Mills theory, JHEP 10 (2012) 184 [arXiv:1207.3763] [INSPIRE].