D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades

Abstract

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)xU(N+M) Yang-Mills theory and the N=3 supersymmetric U(N)xU(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-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.

47 pages, 9 figures; minor changes, references added

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Cited by in corpus (74)

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• Exotic Branes in String Theory
• S-folds and 4d N=3 superconformal field theories
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• Magnon dispersion to four loops in the ABJM and ABJ models
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• M-theoretic matrix models
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• IIB Duals of D=3 N=4 Circular Quivers
• The Partition Function of ABJ Theory
• Horizons cannot save the Landscape
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• The Infrared Physics of Bad Theories
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• Exact Instanton Expansion of ABJM Partition Function
• Localization at large N in Chern-Simons-matter theories
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• Toric Fano varieties and Chern-Simons quivers
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• Anomaly inflow and $p$-form gauge theories
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• Gravity dual of dynamically broken supersymmetry
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• ABJM Dibaryon Spectroscopy
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• The spectral problem of the ABJ Fermi gas
• ABJM Baryon Stability and Myers effect
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• Non-perturbative Tests of Duality Cascades in Three Dimensional Supersymmetric Gauge Theories
• Branes and massive IIA duals of 3d CFT's
• ABJ Theory in the Higher Spin Limit
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• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
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• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
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• Comments on Holographic Level/Rank Dualities
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• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
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• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory
• Stability and boundedness in AdS/CFT with double trace deformations II: Vector Fields
• A limit on the ABJ model
• Non-perturbative Aspects of Quantum Field Theories from Holography