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- Title
Blowup equations for little strings.
- Authors
Kim, Hee-Cheol; Kim, Minsung; Sugimoto, Yuji
- Abstract
We propose blowup equations for 6d little string theories which generalize Nakajima-Yoshioka's blowup equations for the 4d/5d instanton partition functions on Omega background. We find that unlike the blowup equations for standard SQFTs, we need to sum over auxiliary magnetic fluxes on the blown-up ℙ1 for a non-dynamical 2-form gauge field which plays a role in canceling the mixed anomalies of the gauge symmetries. We demonstrate with explicit examples that the blowup equations, when combined with the modular properties, can be solved in order to determine the elliptic genera of little strings.
- Subjects
GAUGE symmetries; PARTITION functions; STRING theory; GAUGE field theory; MAGNETIC flux
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2023)029