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Geometric Constructions of Nongeometric String Theories
Author(s) -
Simeon Hellerman,
John McGreevy,
Brook Williams
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/01/024
Subject(s) - monodromy , torus , string (physics) , theoretical physics , homogeneous space , duality (order theory) , base (topology) , pure mathematics , mathematics , construct (python library) , physics , computer science , geometry , mathematical analysis , programming language
We advocate a framework for constructing perturbative closed stringcompactifications which do not have large-radius limits. The idea is to augmentthe class of vacua which can be described as fibrations by enlarging themonodromy group around the singular fibers to include perturbative stringyduality symmetries. As a controlled laboratory for testing this program, westudy in detail six-dimensional (1,0) supersymmetric vacua arising fromtwo-torus fibrations over a two-dimensional base. We also construct someexamples of two-torus fibrations over four-dimensional bases, and comment onthe extension to other fibrations.Comment: Explanations clarified, typos corrected, references adde

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