D-brane charges in gravitational duals of 2+1 dimensional gauge theories and duality cascades

TY - JOUR

T1 - D-brane charges in gravitational duals of 2+1 dimensional gauge theories and duality cascades

AU - Aharony, O.

AU - Hashimoto, A.

AU - Ouyang, P.

AU - Hirano, Shinji

PY - 2010/1/4

Y1 - 2010/1/4

N2 - We perform a systematic analysis of the D-brane charges associated with string theory realizations of d = 3 gauge theories, focusing on the examples of the N = 4 supersymmetric U(N) × U(N + M) Yang-Mills theory and the N = 3 supersymmetric U(N)×U(N +M) Yang-Mills-Chern-Simons theory. We use both the brane construction of these theories and their dual string theory backgrounds in the supergravity approximation. In the N = 4 case we generalize the previously known gravitational duals to arbitrary values of the gauge couplings, and present a precise mapping between the gravity and field theory parameters. In the N = 3 case, which (for some values of N and M) flows to an N = 6 supersymmetric Chern-Simons-matter theory in the IR, we argue that the careful analysis of the charges leads to a shift in the value of the B 2 field in the IR solution by 1/2, in units where its periodicity is one, compared to previous claims. We also suggest that the N = 3 theories may exhibit, for some values of N and M, duality cascades similar to those of the Klebanov-Strassler theory.

AB - We perform a systematic analysis of the D-brane charges associated with string theory realizations of d = 3 gauge theories, focusing on the examples of the N = 4 supersymmetric U(N) × U(N + M) Yang-Mills theory and the N = 3 supersymmetric U(N)×U(N +M) Yang-Mills-Chern-Simons theory. We use both the brane construction of these theories and their dual string theory backgrounds in the supergravity approximation. In the N = 4 case we generalize the previously known gravitational duals to arbitrary values of the gauge couplings, and present a precise mapping between the gravity and field theory parameters. In the N = 3 case, which (for some values of N and M) flows to an N = 6 supersymmetric Chern-Simons-matter theory in the IR, we argue that the careful analysis of the charges leads to a shift in the value of the B 2 field in the IR solution by 1/2, in units where its periodicity is one, compared to previous claims. We also suggest that the N = 3 theories may exhibit, for some values of N and M, duality cascades similar to those of the Klebanov-Strassler theory.

U2 - 10.1007/jhep01(2010)072

DO - 10.1007/jhep01(2010)072

M3 - Journal article

SN - 1126-6708

VL - 2010

SP - 072

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

IS - 1

ER -