Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications

Abstract

We consider compactifications of type II string theory on general SU(3) x SU(3) structure backgrounds allowing for a very large set of fluxes, possibly nongeometric ones. We study the effective 4d low energy theory which is a gauged N=2 supergravity, and discuss how its data are obtained from the formalism of the generalized geometry on T+T*. In particular we relate Hitchin's special Kaehler metrics on the spaces of even and odd pure spinors to the metric on the supergravity moduli space of internal metric and B-field fluctuations. We derive the N=1 vacuum conditions from this N=2 effective action, as well as from its N=1 truncation. We prove a direct correspondence between these conditions and an integrated version of the pure spinor equations characterizing the N=1 backgrounds at the ten dimensional level.

54 pages. v2, v3: minor changes

References in corpus (9)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux Compactification
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Generalized geometry and the Hodge decomposition
• On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• Special metric structures and closed forms
• NS-NS fluxes in Hitchin's generalized geometry

Cited by in corpus (15)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• New string vacua from twistor spaces
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• Nearly Kaehler Reduction
• Domain walls from ten dimensions
• No-scale supersymmetry breaking vacua and soft terms with torsion
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Flux Vacua Attractors and Generalized Compactifications
• Warped generalized geometry compactifications, effective theories and non-perturbative effects
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Flux Vacua Attractors in Type II on SU(3)xSU(3) Structure
• Phenomenology from the Landscape of String Vacua