Modularity, quaternion-Kähler spaces, and mirror symmetry

Journal Article · Tue Oct 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4826603· OSTI ID:22217888

Alexandrov, Sergei; Banerjee, Sibasish ^[1]

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1. Université Montpellier 2, Laboratoire Charles Coulomb UMR 5221, F-34095 Montpellier (France)

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.

• OSTI ID: 22217888
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 10; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
DEFORMATION
GROUP THEORY
MAPS
MIRRORS
SPACE
STRING MODELS
STRING THEORY
SUPERSYMMETRY