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Title: Ubiquity of non-geometry in heterotic compactifications

Here, we study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I 1 degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the T 2. This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit. We also point out a subtlety due to this non-geometric splitting at finite fiber size. It arises when determining, via heterotic/F-theory duality, the SCFTs associated to a small number of pointlike instantons probing heterotic ADE singularities. Along the way we resolve various puzzles in the literature.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Max Planck Inst. for Physics, Munich (Germany)
  2. Max Planck Inst. for Physics, Munich (Germany); Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany)
  3. Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany); Univ. of Chicago, IL (United States). Enrico Fermi Inst.
  4. Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany)
Publication Date:
Grant/Contract Number:
sc0009924; 32004
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Univ. of Chicago, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Ludwig Maximilian Univ. of Munich (Germany); European Research Council (ERC)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; F-Theory; String Duality; Superstrings and Heterotic Strings; Superstring Vacua
OSTI Identifier:
1423955

García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. Ubiquity of non-geometry in heterotic compactifications. United States: N. p., Web. doi:10.1007/JHEP03(2017)046.
García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, & Mayrhofer, Christoph. Ubiquity of non-geometry in heterotic compactifications. United States. doi:10.1007/JHEP03(2017)046.
García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. 2017. "Ubiquity of non-geometry in heterotic compactifications". United States. doi:10.1007/JHEP03(2017)046. https://www.osti.gov/servlets/purl/1423955.
@article{osti_1423955,
title = {Ubiquity of non-geometry in heterotic compactifications},
author = {García-Etxebarria, Iñaki and Lüst, Dieter and Massai, Stefano and Mayrhofer, Christoph},
abstractNote = {Here, we study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I1 degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the T2. This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit. We also point out a subtlety due to this non-geometric splitting at finite fiber size. It arises when determining, via heterotic/F-theory duality, the SCFTs associated to a small number of pointlike instantons probing heterotic ADE singularities. Along the way we resolve various puzzles in the literature.},
doi = {10.1007/JHEP03(2017)046},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2017,
place = {United States},
year = {2017},
month = {3}
}