The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets

Abstract

We consider string theory compactifications of the form AdS4 x M6 with orientifold six-planes, where M6 is a six-dimensional compact space that is either a nilmanifold or a coset. For all known solutions of this type we obtain the four-dimensional N=1 low energy effective theory by computing the superpotential, the Kaehler potential and the mass spectrum for the light moduli. For the nilmanifold examples we perform a cross-check on the result for the mass spectrum by calculating it alternatively from a direct Kaluza-Klein reduction and find perfect agreement. We show that in all but one of the coset models all moduli are stabilized at the classical level. As an application we show that all but one of the coset models can potentially be used to bypass a recent no-go theorem against inflation in type IIA theory.

47 pages main text, 28 pages appendix, 3 tables, 7 figures, v2: added references, corrected typos

References in corpus (18)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Monodromy in the CMB: Gravity Waves and String Inflation
• Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders
• Inflationary Constraints on Type IIA String Theory
• Simple de Sitter Solutions
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• New string vacua from twistor spaces
• Effective actions and N=1 vacuum conditions from SU(3) x SU(3) compactifications
• Toroidal Orientifolds in IIA with General NS-NS Fluxes
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• D-Terms from Generalized NS-NS Fluxes in Type II
• Nearly Kaehler Reduction
• Searching for Inflation in Simple String Theory Models: An Astrophysical Perspective
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Intersecting D-brane Models
• AdS4 flux vacua in type II superstrings and their domain-wall solutions
• On general flux backgrounds with localized sources

Cited by in corpus (12)

• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
• Algebras and non-geometric flux vacua
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Topological branes, p-algebras and generalized Nahm equations
• A note on the reduction of the AdS4 x CP3 string sigma model
• Near Flat Space limit of strings on AdS_4 x CP^3
• AdS Vacua, Attractor Mechanism and Generalized Geometries
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Recent Trends in Superstring Phenomenology