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

By O. Aharony, Akikazu Hashimoto, S. Hirano, P. Ouyang. 2009

133 citations recorded by the source corpus.

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 $ \mathcal{N} = 4 $ supersymmetric U(N) × U(N + M) Yang-Mills theory and the $ \mathcal{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 $ \mathcal{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 $ \mathcal{N} = 3 $ case, which (for some values of N and M) flows to an $ \mathcal{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 B2 field in the IR solution by 1/2, in units where its periodicity is one, compared to previous claims. We also suggest that the $ \mathcal{N} = 3 $ theories may exhibit, for some values of N and M, duality cascades similar to those of the Klebanov-Strassler theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4cfa1d4290fcacb6d378594fc29de1c7c05f5fed

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Citations in the corpus

From Weak to Strong Coupling in ABJM Theory (2010, methodology): “Interestingly, it turns out that the matrix model knows about these shifted charges, and the strong coupling parameter turns out to be exactly the one calculated in [24], rather than the naive coupling.”
ABJM theory as a Fermi gas (2011, methodology): “In particular, one has to take into account the anomalous shifts relating the rank of the gauge group N to the Maxwell charge Q, which in turn determines the compactification radius L [27, 28].”
Nonperturbative aspects of ABJM theory (2011, background): “In particular, one has to take into account the anomalous shifts relating the rank of the gauge group N to the Maxwell charge Q, which in turn determines the compactification radius L [18, 19].”
A one-loop test of quantum supergravity (2012, background): “The first subleading correction of order N ∼ L originates from a local 8-derivative correction to the effective action that modifies the relation between N and L by shifting N by −B ({ka}, {Nfa})[12, 13].”
Chern–Simons theory with vector fermion matter (2011, background): “The need for the shift by 1 2 in the equation above was explained in [55].”
Exotic Branes in String Theory (2012, background): “A partial analysis of D-brane Page charge in the presence of NS5-branes was done in [147] (see also [148]) based on explicit examples but no complete analysis has appeared in the literature; in particular, it was not clear how to define conserved Page charge in the presence of both D-branes and NS5-”
Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories (2011, background): “The charge Q is given, at large radius, by the number of M2 branes N , but it receives corrections [8, 5].”
ABJ triality: from higher spin fields to strings (2012, background): “The string theory dual would be the “minimal radius” AdS4 × CP3, supported by the Nf D6-branes and flat Kalb-Ramond B-field with 1 2πα′ ∫ CP 1 BNS = N k + 1 2 .”