Gravity duals of supersymmetric SU(N)×SU(N+M) gauge theories

Igor R. Klebanov; Arkady A. Tseytlin

doi:10.1016/S0550-3213(00)00206-6

Gravity duals of supersymmetric SU(N)×SU(N+M) gauge theories

Igor R. Klebanov, Arkady A. Tseytlin

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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 Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N : it is the AdS₅×T^1,1 background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory.

Original language	English (US)
Pages (from-to)	123-138
Number of pages	16
Journal	Nuclear Physics B
Volume	578
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(00)00206-6
State	Published - Jul 3 2000

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

04.65.+e
11.25.-w
12.60.Jv

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10.1016/S0550-3213(00)00206-6

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title = "Gravity duals of supersymmetric SU(N)×SU(N+M) gauge theories",

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 Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N : it is the AdS5×T1,1 background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory.",

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note = "Funding Information: We are grateful to R. Corrado, N. Nekrasov, K. Pilch and N. Warner for useful discussions. The work of I. R. K. was supported in part by the NSF grant PHY-9802484 and by the James S. McDonnell Foundation Grant No. 91-48. The work of A.T. is supported in part by the DOE grant DOE/ER/01545, PPARC SPG grant PPA/G/S/1998/00613, EC TMR grant ERBFMRX-CT96-0045, INTAS grant No.99-0590 and NATO grant PST.CLG 974965.",

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AU - Tseytlin, Arkady A.

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N2 - 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 Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N : it is the AdS5×T1,1 background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory.

AB - 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 Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N : it is the AdS5×T1,1 background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory.

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Gravity duals of supersymmetric SU(N)×SU(N+M) gauge theories

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