Gauge dual and noncommutative extension of anN=2supergravity solution

Abstract

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 enhançon 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.

Mesons in gauge/gravity duals

“…For example, a flow to an N = 2 theory can be found by giving equal mass to four of the six scalars and two of the four gauginos of the N = 4 theory [58][59][60]. This theory is called the N = 2 * theory and the induced flow of the dilaton can be matched to the expected running coupling behaviour of the field theory [61,62]. A general field-theoretical interpretation of holographic RG flows is given in [63,64].…”

Critical phenomena in SYM plasma

“…Right at the critical point, t = 0, the equal-time correlation function has a power-law 10) where p = 3 is the number of spatial dimensions and η is the anomalous scaling exponent.…”

“…If 5) it is sufficient to work to order O M 2 T 2 . Although not necessary, one can think about above deformation (to the order specified) as that corresponding to deforming N = 4 plasma to N = 2 * plasma [9,10,11].…”

“…To order O(λ 0 ) we find 10) where the two constants {β, κ} are related to the temperature T and the chemical potential µ of the R-charged black brane…”

On relativistic brane probes in singular spacetimes

“…These repulsons can be resolved in string theory via the enhançon mechanism [2,3,4,5,6,7], which describes the constituent branes that effectively repel each other, thus forming a nonsingular matter shell of finite radius. The original enhançon of Ref.…”