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Deforming field theories with U(1) × U(1) global symmetry and their gravity duals

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Published 16 May 2005 Published under licence by IOP Publishing Ltd
, , Citation Oleg Lunin and Juan Maldacena JHEP05(2005)033 DOI 10.1088/1126-6708/2005/05/033

1126-6708/2005/05/033

Abstract

We find the gravity dual of a marginal deformation of Script N = 4 super Yang Mills, and discuss some of its properties. This deformation is intimately connected with an SL(2,Bbb R) symmetry of the gravity theory. The SL(2,Bbb R) transformation enables us to find the solutions in a simple way. These field theory deformations, sometimes called β deformations, can be viewed as arising from a star product. Our method works for any theory that has a gravity dual with a U(1) × U(1) global symmetry which is realized geometrically. These include the field theories that live on D3 branes at the conifold or other toric singularities, as well as their cascading versions.

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10.1088/1126-6708/2005/05/033