AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations
We construct three-dimensional N= 2 Chern-Simons-quiver theories which are holographically dual to the M-theory Freund-Rubin solutions AdS 4 × V 5,2/ℤ k (with or without torsion G-flux), where V 5,2 is a homogeneous Sasaki-Einstein seven-manifold. The global symmetry group of these theories is gener...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2009
|
| _version_ | 1797105136532717568 |
|---|---|
| author | Martelli, D Sparks, J |
| author_facet | Martelli, D Sparks, J |
| author_sort | Martelli, D |
| collection | OXFORD |
| description | We construct three-dimensional N= 2 Chern-Simons-quiver theories which are holographically dual to the M-theory Freund-Rubin solutions AdS 4 × V 5,2/ℤ k (with or without torsion G-flux), where V 5,2 is a homogeneous Sasaki-Einstein seven-manifold. The global symmetry group of these theories is generically SU(2) × U(1) × U(1) R, and they are hence non-toric. The field theories may be thought of as the n = 2 member of a family of models, labelled by a positive integer n, arising on multiple M2-branes at certain hypersurface singularities. We describe how these models can be engineered via generalized Hanany-Witten brane constructions. The AdS 4 × V 5,2/ℤ k solutions may be deformed to a warped geometry ℝ 1,2 × T*S 4/ℤ k, with self-dual G-flux through the four-sphere. We show that this solution is dual to a supersymmetric mass deformation, which precisely modifies the classical moduli space of the field theory to the deformed geometry. © 2009 SISSA. |
| first_indexed | 2024-03-07T06:43:14Z |
| format | Journal article |
| id | oxford-uuid:fa0212bb-1d99-42d9-9f2f-25f13bb339bc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:43:14Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:fa0212bb-1d99-42d9-9f2f-25f13bb339bc2022-03-27T13:02:18ZAdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fa0212bb-1d99-42d9-9f2f-25f13bb339bcEnglishSymplectic Elements at Oxford2009Martelli, DSparks, JWe construct three-dimensional N= 2 Chern-Simons-quiver theories which are holographically dual to the M-theory Freund-Rubin solutions AdS 4 × V 5,2/ℤ k (with or without torsion G-flux), where V 5,2 is a homogeneous Sasaki-Einstein seven-manifold. The global symmetry group of these theories is generically SU(2) × U(1) × U(1) R, and they are hence non-toric. The field theories may be thought of as the n = 2 member of a family of models, labelled by a positive integer n, arising on multiple M2-branes at certain hypersurface singularities. We describe how these models can be engineered via generalized Hanany-Witten brane constructions. The AdS 4 × V 5,2/ℤ k solutions may be deformed to a warped geometry ℝ 1,2 × T*S 4/ℤ k, with self-dual G-flux through the four-sphere. We show that this solution is dual to a supersymmetric mass deformation, which precisely modifies the classical moduli space of the field theory to the deformed geometry. © 2009 SISSA. |
| spellingShingle | Martelli, D Sparks, J AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title | AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title_full | AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title_fullStr | AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title_full_unstemmed | AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title_short | AdS 4/CFT 3 duals from M2-branes at hypersurface singularities and their deformations |
| title_sort | ads 4 cft 3 duals from m2 branes at hypersurface singularities and their deformations |
| work_keys_str_mv | AT martellid ads4cft3dualsfromm2branesathypersurfacesingularitiesandtheirdeformations AT sparksj ads4cft3dualsfromm2branesathypersurfacesingularitiesandtheirdeformations |