Field theory operator encoding in N = 2 geometries

Babington, James and Evans, Nick (2002) Field theory operator encoding in N = 2 geometries. Journal of High Energy Physics, 1. (doi:10.1088/1126-6708/2002/01/016).

Record type: Article

Abstract

We investigate supergravity solutions describing D5-branes wrapped on a two cycle which are dual to Script N = 2 super Yang Mills theory. Brane probing these solutions allows the moduli space of the field theory to be identified. There are a unique set of coordinates in which the field theory on the probe takes an Script N = 2 form and in these coordinates the running coupling of the gauge theory may be identified. We show that the geometry, when restricted to the moduli space, takes a very simple form involving only two functions. One is the running gauge coupling whilst the other parametrizes the scalar operators of the field theory. The D5-brane distributions, for the full set of solutions in the literature, can be determined by assuming the field theory's form for the running coupling as a function of scalar vevs. We show that the resulting distributions also correctly reproduce the scalar operators parametrized elsewhere providing the first non-trivial consistency check on the duality.

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