Supergravity Dual of Noncommutative N=1 SYM

Abstract

We construct the noncommutative deformation of the Maldacena-Nunez supergravity solution. The background describes a bound state of D5-D3 branes wrapping an S^2 inside a Calabi-Yau three-fold, and in the presence of a magnetic B-field. The dual field theory in the IR is a N=1 U(N) SYM theory with spatial noncommutativity. We show that, under certain conditions, the massive Kaluza-Klein states can be decoupled and that UV/IR mixing seems to be visible in our solution. By calculating the quark-antiquark potential via the Wilson loop we show confinement in the IR and strong repulsion at closer distances. We also compute the beta-function and show that it coincides with the recently calculated commutative one.

24 pages, latex, 4 figures; v2 references added, correction of a sign mistake in the expression of the curvature

References in corpus (4)

• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• Various Wrapped Branes from Gauged Supergravities
• N=1 Super Yang Mills renormalization schemes for Fractional Branes
• N=1 Super Yang-Mills from Supergravity: The UV-IR Connection

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• Adding flavor to the gravity dual of non-commutative gauge theories
• Semi-classical string solutions for N=1 SYM
• On the consistency of the N=1 SYM spectra from wrapped five-branes
• Non Supersymmetric Regular Solutions from Wrapped and Fractional Branes
• On beta-deformations and Noncommutativity
• Non-commutative massive unquenched ABJM
• Glueball mass spectra for supergravity duals of noncommutative gauge theories
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• Killing spinors of some supergravity solutions
• Wilson-t'Hooft Loops in Finite-Temperature Non-commutative Dipole Field Theory from Dual Supergravity
• D-branes, gauge/string duality and noncommutative theories
• Confinement of N=1 Super Yang-Mills from Supergravity