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Title: Modularity, quaternion-Kähler spaces, and mirror symmetry

We provide an explicit twistorial construction of quaternion-Kähler manifolds obtained by deformation of c-map spaces and carrying an isometric action of the modular group SL(2,Z). The deformation is not assumed to preserve any continuous isometry and therefore this construction presents a general framework for describing NS5-brane instanton effects in string compactifications with N= 2 supersymmetry. In this context the modular invariant parametrization of twistor lines found in this work yields the complete non-perturbative mirror map between type IIA and type IIB physical fields.
Authors:
;  [1]
  1. Université Montpellier 2, Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier (France)
Publication Date:
OSTI Identifier:
22217888
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPACTIFICATION; DEFORMATION; GROUP THEORY; MAPS; MIRRORS; SPACE; STRING MODELS; STRING THEORY; SUPERSYMMETRY