Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold

Abstract

The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal N = 1 supersymmetric SU (N + M ) × SU (N ) gauge theory. In previous work the extremal Type IIB supergravity dual of this theory at zero temperature was constructed. Regularity of the solution requires a deformation of the conifold: this is a reflection of the chiral symmetry breaking. To study the non-zero temperature generalizations non-extremal solutions have to be considered, and in the high temperature phase the chiral symmetry is expected to be restored. Such a solution is expected to have a regular Schwarzschild horizon. We construct an ansatz necessary to study such nonextremal solutions and show that the simplest possible solution has a singular horizon. We derive the system of second order equations in the radial variable whose solutions may have regular horizons. 02/01

Non-SUSY fractional branes

“…The first-order flow equations we find are restricted to the blackening of the simplified Ansatz (3.15) and we have not yet been able to extend the flow to the more general Ansätze used in (3.40) for the KT black brane when p = 3 [15,40]. The latter solutions necessarily include the dynamical shape modulus e w of the T 1,1 , see equation (3.40).…”

“…Deformations of the SUSY KT background typically involve the running of a T 1,1 modulus w, defined as follows [40]:…”

On the holographic duals of N = 1 gauge dynamics.

“…In a general background it is impossible to guess what the dual supergravity mode will be, and one must calculate on a case by case basis. In [64] finite tempera-ture generalizations of the KS and MN backgrounds were found. In these solutions there is no chiral symmetry breaking and therefore no gluino condensate.…”

Stringy effects during inflation and reheating

“…At the end of inflation, the horizon shrinks, the D branes appear, and the SM strings become open strings on the branes again, which should be excited up to the energy of the black hole. This process can be understood as a phase transition [66,[177][178][179][180][181]. In fact, this type of transition between thermal strings and black holes has been advocated on general grounds [182].…”