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Stringy geometry from F‐theory
Author(s) -
Massai Stefano
Publication year - 2016
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201500086
Subject(s) - monodromy , fibered knot , heterotic string theory , codimension , duality (order theory) , dual polyhedron , mathematics , t duality , pure mathematics , string duality , string theory , surface (topology) , f theory , base (topology) , torus , geometry , s duality , point (geometry) , mapping class group , theoretical physics , physics , mathematical analysis , mathematical physics , quantum mechanics , quantum gravity , relationship between string theory and quantum field theory , quantum
We review the construction of six‐dimensional non‐geometric string compactifications obtained from torus fibrations with T‐duality monodromy. We take a geometric point of view where T‐duality twists are identified with Dehn twists of an auxiliary surface fibered over a two dimensional base. Degenerations of this auxiliary surface define codimension‐two T‐duality defects. For a large class of heterotic defects, we extract the low energy physics by constructing F‐theory duals that admit simple Calabi‐Yau resolutions.