Nonextremal gravity duals for fractional D-3 branes on the conifold
Feb, 2001
18 pages
Published in:
- JHEP 04 (2001) 033
e-Print:
- hep-th/0102105 [hep-th]
Report number:
- PUPT-1977,
- MCTP-01-07,
- OHSTPY-HEP-T-01-002,
- NSF-ITP-01-10
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Abstract:
The world volume theory on regular and fractional D3-branes at the conifold singularity is a non-conformal supersymmetric 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 non-extremal 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.Note:
- 18 pages, minor corrections
- membrane model: D-brane
- p-brane: 3
- supersymmetry
- gravitation
- duality
- conifold
- gauge field theory: SU(N) x SU(M)
- superpotential
- field equations: solution
- finite temperature
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