Parameter spaces of massive IIA solutions
arXiv:1010.4648 · doi:10.1007/JHEP04(2011)067
Abstract
We find a new class of N=2 massive IIA solutions whose internal spaces are S^2 fibrations over S^2 x S^2. These solutions appear naturally as massive deformations of the type IIA reduction of Sasaki-Einstein manifolds in M-theory, including Q^{1,1,1} and Y^{p,k}, and play a role in the AdS4/CFT3 correspondence. We use this example to initiate a systematic study of the parameter space of massive solutions with fluxes. We define and study the natural parameter space of the solutions, which is a certain dense subset of R^3, whose boundaries correspond to orbifold or conifold singularities. On a codimension-one subset of the parameter space, where the Romans mass vanishes, it is possible to perform a lift to M-theory; extending earlier work, we produce a family A^{p,q,r} of Sasaki-Einstein manifolds with cohomogeneity one and SU(2) x SU(2) x U(1) isometry. We also propose a Chern-Simons theory describing the duals of the massless and massive solutions.
35 pages, 5 figures; comments and references added
References in corpus (34)
- de Sitter Vacua in String Theory
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Hierarchies from Fluxes in String Compactifications
- Massless Black Holes and Conifolds in String Theory
- Fractional M2-branes
- Type IIA Moduli Stabilization
- Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
- Supersymmetric Three-Form Flux Perturbations on
- String Theory on Calabi-Yau Manifolds
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Exactly Marginal Deformations and Global Symmetries
- Tilings, Chern-Simons Theories and M2 Branes
- Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
- Brane Tilings and M2 Branes
- Chiral flavors and M2-branes at toric CY4 singularities
- A simple class of N=3 gauge/gravity duals
- The gauge dual of Romans mass
- Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
- M2-branes on Orbifolds of the Cone over Q^{1,1,1}
- Towards M2-brane Theories for Generic Toric Singularities
- Type IIA AdS4 compactifications on cosets, interpolations and domain walls
- New supersymmetric AdS4 type II vacua
- New string vacua from twistor spaces
- A Stringy Origin of M2 Brane Chern-Simons Theories
- Massive type IIA string theory cannot be strongly coupled
- Consistent Warped-Space Kaluza-Klein Reductions, Half-Maximal Gauged Supergravities and CP^n Constructions
- Quiver Chern-Simons theories and crystals
- Perturbing gauge/gravity duals by a Romans mass
- Quantum corrections to N=2 Chern-Simons theories with flavor and their AdS4 duals
- N=2 solutions of massive type IIA and their Chern-Simons duals
- A Note on Einstein Sasaki Metrics in D \ge 7
- Higgsing M2-brane Theories
- 3D Seiberg-like Dualities and M2 Branes
- A New Construction of Einstein-Sasaki Metrics in D >= 7
Cited by in corpus (13)
- Comments on 3d Seiberg-like dualities
- Large matrix models for 3d theories: twisted index, free energy and black holes
- Holographic microstate counting for AdS black holes in massive IIA supergravity
- Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
- AdS solutions of massive IIA from dyonic ISO(7) supergravity
- On the spin-2 Kaluza-Klein spectrum of AdS4 x S2(B4)
- Toric Fano varieties and Chern-Simons quivers
- Romans-mass-driven flows on the D2-brane
- A massive class of AdS IIA solutions
- Black hole microstates and supersymmetric localization
- D-branes and non-Abelian T-duality
- On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
- Supersymmetric Effective Action of D2-branes in Massive IIA String Theory