Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution

Details Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution Gauge Dual and Noncommutative Extension of an N=2 Supergravity Solution

2000-08-09

arxiv.org/abs/hep-th/0008076v1

Phys.Rev.D63:044009,2001

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX

Scientific paper

10.1103/PhysRevD.63.044009

We investigate some properties of a recent supergravity solution of Pilch and Warner, which is dual to the N=4 gauge theory softly broken to N=2. We verify that a D3-brane probe has the expected moduli space and its effective action can be brought to N=2 form. The kinetic term for the probe vanishes on an enhancon locus, as in earlier work on large-n N=2 theories, though for the Pilch-Warner solution this locus is a line rather than a ring. On the gauge theory side we find that the probe metric can be obtained from a perturbative one-loop calculation; this principle may be useful in obtaining the supergravity dual at more general points in the N=2 gauge theory moduli space. We then turn on a B-field, following earlier work on the N=4 theory, to obtain the supergravity dual to the noncommutative N=2 theory.

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