Affine characters at negative level and elliptic genera of non-critical strings
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Publication:6055807
DOI10.1007/JHEP07(2023)208arXiv2211.14601MaRDI QIDQ6055807
Author name not available (Why is that?)
Publication date: 29 September 2023
Published in: (Search for Journal in Brave)
Abstract: We study the elliptic genera of the non-critical strings of six dimensional superconformal field theories from the point of view of the strings' worldsheet theory. We formulate a general ansatz for these in terms of characters of the affine Lie algebra associated to the 6d gauge group at negative level, and provide ample evidence for the validity of this ansatz for 6d theories obtained via F-theory compactification on elliptically fibered Calabi-Yau manifolds over a Hirzebruch base. We obtain novel closed form results for many elliptic genera in terms of our ansatz, and show that our results specialize consistently when moving along Higgsing trees.
Full work available at URL: https://arxiv.org/abs/2211.14601
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