Ubiquity of nongeometry 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 Tfects with monodromy around each Tfect being (conjugate to) Tduality along one of the legs of the T ^{2}. This implies that almost every elliptic heterotic compactification becomes a nongeometric Tfold away from the stable degeneration limit. We also point out a subtlety due to this nongeometric splitting at finite fiber size. It arises when determining, via heterotic/Ftheory 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]}
 Max Planck Inst. for Physics, Munich (Germany)
 Max Planck Inst. for Physics, Munich (Germany); Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany)
 Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany); Univ. of Chicago, IL (United States). Enrico Fermi Inst.
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Univ. of Chicago, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); 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; FTheory; String Duality; Superstrings and Heterotic Strings; Superstring Vacua
 OSTI Identifier:
 1423955
GarcíaEtxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. Ubiquity of nongeometry in heterotic compactifications. United States: N. p.,
Web. doi:10.1007/JHEP03(2017)046.
GarcíaEtxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, & Mayrhofer, Christoph. Ubiquity of nongeometry in heterotic compactifications. United States. doi:10.1007/JHEP03(2017)046.
GarcíaEtxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. 2017.
"Ubiquity of nongeometry in heterotic compactifications". United States.
doi:10.1007/JHEP03(2017)046. https://www.osti.gov/servlets/purl/1423955.
@article{osti_1423955,
title = {Ubiquity of nongeometry in heterotic compactifications},
author = {GarcíaEtxebarria, 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 Tfects with monodromy around each Tfect being (conjugate to) Tduality along one of the legs of the T2. This implies that almost every elliptic heterotic compactification becomes a nongeometric Tfold away from the stable degeneration limit. We also point out a subtlety due to this nongeometric splitting at finite fiber size. It arises when determining, via heterotic/Ftheory 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}
}