Boundary conditions and dualities: vector fields in AdS/CFT
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In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary conditions correspond to deformations of the dual field theory by multi-trace operators. Here we extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184]. As in the context of scalar fields, general boundary conditions for vector fields involve multi-trace deformations which lead to renormalization-group flows. Such flows originate in ultra-violet CFTs which give new gauge/gravity dualities. At least for AdS4/CFT3, the dual of the bulk photon appears to be a propagating gauge field instead of the usual R-charge current. Applying similar reasoning to tensor fields suggests the existence of a duality between string theory on AdS4 and a quantum gravity theory in three dimensions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/16d91f3b3659589091aefaba9150090dedd30882
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Citations in the corpus
- Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, background): “This implies that a sensible continuum limit cannot be taken, which appears to be consistent with the conclusions based on normalizability [52].”
- Wormholes, emergent gauge fields, and the weak gravity conjecture (2015, background): “ry since, in the standard quantization of the gauge eld in an asymptotically AdS background, allowed gauge transformations must vanish at innity. I review this somewhat in appendixA, see for example [17] for a detailed discussion. 3Strictly localized Wilson line operators are somewhat singular, sinc”
- Two-dimensional SCFTs from wrapped branes and c-extremization (2013, background): “There is only one possible quantization [65] in which A (0) i is the VEV of a dimension 1 operator and à (0) i is its source.”
- Lectures on holographic methods for condensed matter physics (2009, background): “A clear and more detailed discussion than we will give can be found in [69] for the range of masses in which both falloffs are allowed.”
- Semi-holographic Fermi liquids (2010, unknown): “[17–22].”