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

• Published in: The journal of high energy physics Vol. 2010; no. 1
• Main Authors: Aharony, Ofer, Hashimoto, Akikazu, Hirano, Shinji, Ouyang, Peter
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.01.2010; Springer Nature B.V
• Subjects: Cascades; Classical and Quantum Gravitation; Couplings; Elementary Particles; Field theory; Field theory (physics); Gravitation theory; High energy physics; Mapping; Periodic variations; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quantum theory; Relativity Theory; String Theory; Supergravity; Supersymmetry; Yang-Mills theory; Gauge-gravity correspondence; Chern-Simons Theories
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2010)072

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 supersymmetric U( N ) × U( N + M ) Yang-Mills theory and the 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 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 case, which (for some values of N and M ) flows to an 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 theories may exhibit, for some values of N and M , duality cascades similar to those of the Klebanov-Strassler theory.