Portal de Periódicos da CAPES

Gauge dual and noncommutative extension of an N = 2 supergravity solution

2001; American Physical Society; Volume: 63; Issue: 4 Linguagem: Inglês

10.1103/physrevd.63.044009

1538-4500

Alex Buchel, Amanda W. Peet, Joseph Polchinski,

Cosmology and Gravitation Theories

We investigate some properties of a recent supergravity solution of Pilch and Warner, which is dual to the $\mathcal{N}=4$ gauge theory softly broken to $\mathcal{N}=2.$ We verify that a D3-brane probe has the expected moduli space and its effective action can be brought to $\mathcal{N}=2$ form. The kinetic term for the probe vanishes on an enhan\ifmmode \mbox{\c{c}}\else \c{c}\fi{}on locus, as in earlier work on large-$N$ $\mathcal{N}=2$ 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 $\mathcal{N}=2$ gauge theory moduli space. We then turn on a B-field, following earlier work on the $\mathcal{N}=4$ theory, to obtain the supergravity dual to the noncommutative $\mathcal{N}=2$ theory.