Back to heterotic strings on ALE spaces. II: Geometry of T-dual little strings
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Publication:6118020
DOI10.1007/JHEP01(2024)109arXiv2212.05311OpenAlexW4391045852WikidataQ129663052 ScholiaQ129663052MaRDI QIDQ6118020
Author name not available (Why is that?)
Publication date: 20 March 2024
Published in: (Search for Journal in Brave)
Abstract: This work is the second of a series of papers devoted to revisiting the properties of Heterotic string compactifications on ALE spaces. In this project we study the geometric counterpart in F-theory of the T-dualities between Heterotic ALE instantonic Little String Theories (LSTs) extending and generalising previous results on the subject by Aspinwall and Morrison. Since the T-dualities arise from a circle reduction one can exploit the duality between F-theory and M-theory to explore a larger moduli space, where T-dualities are realised as inequivalent elliptic fibrations of the same geometry. As expected from the Heterotic/F-theory duality the elliptic F-theory Calabi-Yau we consider admit a nested elliptic K3 fibration structure. This is central for our construction: the K3 fibrations determine the flavor groups and their global forms, and are the key to identify various T-dualities. We remark that this method works also more generally for LSTs arising from non-geometric Heterotic backgrounds. We study a first example in detail: a particularly exotic class of LSTs which are built from extremal K3 surfaces that admit flavor groups with maximal rank 18. We find all models are related by a so-called T-hexality (i.e. a 6-fold family of T-dualities) which we predict from the inequivalent elliptic fibrations of the extremal K3.
Full work available at URL: https://arxiv.org/abs/2212.05311
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