Conformal Manifolds for the Conifold and other Toric Field Theories

Details Conformal Manifolds for the Conifold and other Toric Field Theories Conformal Manifolds for the Conifold and other Toric Field Theories

2005-02-03

arxiv.org/abs/hep-th/0502043v2

JHEP0508:024,2005

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 5 figures; V2: References added, minor changes

Scientific paper

10.1088/1126-6708/2005/08/024

In the space of couplings of the 4D N=1 gauge theory associated to D3 branes probing Calabi-Yau singularities, there is a manifold over which superconformal invariance is preserved. The AdS/CFT correspondence is valid precisely for this "conformal manifold". We identify the conformal manifold for all the Y^{p,q} toric singularities, paying special attention to the case of the conifold, Y^{1,0}. For a general Y^{p,q} the conformal manifold is three dimensional, while for the conifold it is five dimensional. There is always an exactly marginal deformation, analogous to the beta-deformation of N=4 SYM, which involves fluxes in the dual gravity description. This beta-deformation exists for any toric Calabi-Yau singularity.

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