Ubiquity of non-geometry in heterotic compactifications

García-Etxebarria, Iñaki; Lüst, Dieter; Massai, Stefano; Mayrhofer, Christoph

doi:10.1007/JHEP03(2017)046

Ubiquity of non-geometry in heterotic compactifications

Journal Article · Wed Mar 08 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2017)046· OSTI ID:1423955

García-Etxebarria, Iñaki ^[1]; Lüst, Dieter ^[2]; Massai, Stefano ^[3]; Mayrhofer, Christoph ^[4]

Max Planck Inst. for Physics, Munich (Germany); Fermi Lab
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)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Chicago, IL (United States)

Sponsoring Organization:: European Research Council (ERC); Ludwig Maximilian Univ. of Munich (Germany); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0009924

OSTI ID:: 1423955

Alternate ID(s):: OSTI ID: 22659109

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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