The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs

Faraggi, AE ORCID: 0000-0001-7123-6414, Nibbelink, S Groot and Hurtado-Heredia, M
(2022) The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs. [Preprint]

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This paper aims to shed light on what becomes of discrete torsion within heterotic orbifolds when they are resolved to smooth geometries. Gauged Linear Sigma Models (GLSMs) possessing (0,2) worldsheet supersymmetry are employed as interpolations between them. This question is addressed for resolutions of the non-compact C3/Z2xZ2 and the compact T6/Z2xZ2 orbifolds to keep track of local and global aspects. The GLSMs associated with the non-compact orbifold with or without torsion are to a large extent equivalent: only when expressed in the same superfield basis, a field redefinition anomaly arises among them, which in the orbifold limit reproduces the discrete torsion phases. Previously unknown, novel resolution GLSMs for T6/Z2xZ2 are constructed. The GLSM associated with the torsional compact orbifold suffers from mixed gauge anomalies, which need to be cancelled by appropriate logarithmic superfield dependent FI-terms on the worldsheet, signalling H-flux due to NS5-branes supported at the exceptional cycles.

Item Type: Preprint
Additional Information: 2+48 pages latex, references and some comments added
Uncontrolled Keywords: hep-th, hep-th, hep-ph, math-ph, math.AG, math.MP
Depositing User: Symplectic Admin
Date Deposited: 15 Dec 2022 09:28
Last Modified: 15 Mar 2024 01:22
DOI: 10.48550/arxiv.2211.01397
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