On non-abelian T-dual geometries with Ramond fluxes

By K. Sfetsos, D. Thompson. 2010

235 citations recorded by the source corpus.

Abstract We show how to implement T-duality along non-abelian isometries in backgrounds with non-vanishing Ramond fields. When the dimension of the isometry group is odd (even) the duality swaps (preserves) the chirality of the theory. In certain cases a non-abelian duality can result in a massive type-IIA background. We provide two examples by dualising SU ( 2 ) isometry subgroups in AdS 5 × S 5 and AdS 3 × S 3 × T 4 . The resultant dual geometries inherit the original AdS factors but have transverse spaces with reduced isometry and preserve only half of the original supersymmetry. The non-abelian dual of AdS 5 × S 5 has an M-theory lift which is related to the gravity duals of N = 2 superconformal theories. We comment on a possible interpretation of this as a high spin limit.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4d519fa4ac0e579417235040aff0daa9f6c2aee9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. David S. Berman
2. D. Thompson
3. K. Sfetsos
4. C. Nuñez
5. G. Itsios
6. O. Hohm
7. D. Marqués
8. J. Gauntlett

In Nuclear and High Energy Physics

1. D. Thompson
2. David S. Berman
3. C. Nuñez
4. K. Sfetsos
5. G. Itsios
6. D. Marqués
7. O. Hohm
8. G. Aldazabal

In Statistical and Nonlinear Physics

1. D. Thompson
2. C. Nuñez
3. K. Sfetsos
4. David S. Berman
5. G. Itsios
6. D. Marqués
7. O. Hohm
8. D. Waldram

Citations in the corpus

• Integrable interpolations: From exact CFTs to non-Abelian T-duals (2013, methodology): “It was shown in [10] that when supported by appropriate flux fields it is a solution of massive IIA-supergravity and that it represent the non-Abelian T-dual of the background corresponding to the near horizon of the D1-D5 brane system.”
• Duality Symmetric String and M-Theory (2013, methodology): “Both of these generalisation have been studied in recent years and have led to some surprising insights especially within the context of the AdS/CFT correspondence; non-Abelian T-dualities have been used to generate interesting new supergravity backgrounds [30, 31, 32, 33, 34, 35, 36] and selfdualit”
• Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, methodology): “After non-abelian T-duality, the corresponding "UV" geometry will just be some Z2 quotient of the Gaiotto-Maldacena type geometry found in [10] and the "IR" geometry the result provide in the preceding section (the Klebanov-Witten transformed).”