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Heterotic T-folds with a small number of neutral moduli

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Abstract

We discuss non-geometric supersymmetric heterotic string models in D=4, in the framework of the free fermionic construction. We perform a systematic scan of models with four a priori left-right asymmetric \( {{\mathbb{Z}}_2} \) projections and shifts. We analyze some 220 models, identifying 18 inequivalent classes and addressing variants generated by discrete torsions. They do not contain geometrical or trivial neutral moduli, apart from the dilaton. However, we show the existence of flat directions in the form of exactly marginal deformations and identify patterns of symmetry breaking where product gauge groups, realized at level one, are broken to their diagonal at higher level. We also describe an “inverse Gepner map” from Heterotic to Type II models that could be used, in certain non geometric settings, to define “effective” topological invariants.

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Authors and Affiliations

  1. Dipartimento di Fisica and Sezione INFN, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Roma, Italy

    Massimo Bianchi & Gianfranco Pradisi

  2. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Sidlerstrasse 5, CH-3012, Bern, Switzerland

    Cristina Timirgaziu

  3. II. Institut für Theoretische Physik der Universität Hamburg, D-22761, Hamburg, Germany

    Luca Tripodi

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  1. Massimo Bianchi
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Correspondence to Cristina Timirgaziu.

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ArXiv ePrint: 1207.2665

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Bianchi, M., Pradisi, G., Timirgaziu, C. et al. Heterotic T-folds with a small number of neutral moduli. J. High Energ. Phys. 2012, 89 (2012). https://doi.org/10.1007/JHEP10(2012)089

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