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  • Letter
  • Open Access

Free fermionic webs of heterotic T folds

Alon E. Faraggi*

Stefan Groot Nibbelink†

Benjamin Percival‡

  • Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom and CERN, Theoretical Physics Department, CH–1211 Geneva 23, Switzerland

  • School of Engineering and Applied Sciences and Research Centre Innovations in Care, Rotterdam University of Applied Sciences, Postbus 25035, 3001 HA Rotterdam, The Netherlands

  • Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom

  • *alon.faraggi@liverpool.ac.uk
  • †s.groot.nibbelink@hr.nl
  • ‡b.percival@liverpool.ac.uk

Phys. Rev. D 109, L051701 – Published 25 March, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L051701

Abstract

Moduli stabilization is key to obtaining phenomenologically viable string models. Nongeometric compactifications, like T-duality orbifolds (T folds), are capable of freezing many moduli. However, in this paper we emphasize that T folds, admitting free fermionic descriptions, can be associated with a large number of different T folds with varying number of moduli, since the fermion pairings for bosonization are far from unique. Consequently, in one description a fermionic construction might appear to be asymmetric, and hence nongeometric, while in another it admits a symmetric orbifold description. We introduce the notion of intrinsically asymmetric T folds for fermionic constructions that do not admit any symmetric orbifold description after bosonization. Finally, we argue that fermion symmetries induce mappings in the bosonized description that extend the T-duality group.

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