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On a Deformation of 3-Branes

Leopoldo A. Pando Zayas
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Abstract

We construct an explicit class of solutions of type IIB supergravity that is a smooth deformation of the 3-brane class of solutions. The solution is nonsupersymmetric and involves nontrivial dilaton and axion fields as well as the standard 5-form field strength. One of the main features of the solution is that for large values of the radius the deformation is small and it asymptotically approaches the undeformed 3-brane solution, signaling a restoration of conformal invariance in the UV for the dual gauge theory. We suggest that the supergravity deformation corresponds to a massive deformation on the dual gauge theory and consequently the deformed theory has the undeformed one as an ultraviolet fixed point. In cases where the original 3-brane solution preserves some amount of supersymmetry we suggest that the gauge theory interpretation is that of soft supersymmetry breaking. We discuss the deformation for D3-branes on the conifold and the generalized conifold explicitly. We show that the semiclassical behavior of the Wilson loop suggests that the corresponding gauge theory duals are confining.

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Leopoldo A. Pando Zayas. 2001-07-24. On a Deformation of 3-Branes. https://doi.org/10.1016/s0550-3213(01)00553-3

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