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arXiv · hep-th/0502043

Conformal Manifolds for the Conifold and other Toric Field Theories

Sergio Benvenuti·Amihay Hanany
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Abstract

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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Sergio Benvenuti, Amihay Hanany. 2005-04-17. Conformal Manifolds for the Conifold and other Toric Field Theories. https://doi.org/10.1088/1126-6708%2F2005%2F08%2F024

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