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,Y-q toric singularities, paying special attention to the case of the conifold, Y-1,Y-0. For a general Y-p,Y-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.

Conformal manifolds for the conifold and other toric field theories / Benvenuti, Sergio; Hanany, A.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - :8(2005). [10.1088/1126-6708/2005/08/024]

Conformal manifolds for the conifold and other toric field theories

BENVENUTI, Sergio;
2005

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,Y-q toric singularities, paying special attention to the case of the conifold, Y-1,Y-0. For a general Y-p,Y-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.
8
024
Benvenuti, Sergio; Hanany, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32730
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