E7(7) formulation of N=2 backgrounds

Abstract

In this paper we reformulate N=2 supergravity backgrounds arising in type II string theory in terms of quantities transforming under the U-duality group E7(7). In particular we combine the Ramond--Ramond scalar degrees of freedom together with the O(6,6) pure spinors which govern the Neveu-Schwarz sector by considering an extended version of generalised geometry. We give E7(7)-invariant expressions for the Kahler and hyperkahler potentials describing the moduli space of vector and hypermultiplets, demonstrating that both correspond to standard E7(7) coset spaces. We also find E7(7) expressions for the Killing prepotentials defining the scalar potential, and discuss the equations governing N=1 vacua in this formalism.

40 pages, final version to appear in JHEP

References in corpus (13)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Generalised Geometry for M-Theory
• Lectures on Gauged Supergravity and Flux Compactifications
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• Lectures on Nongeometric Flux Compactifications
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Erice Lectures on Black Holes and Attractors
• IIA Ten-forms and the Gauge Algebras of Maximal Supergravity Theories
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• Attractors in Black

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