Boundary conditions and unitarity: the Maxwell-Chern-Simons system in AdS3/CFT2

A bstract We consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions consistent with conservation of the symplectic structure. As is well-known, the MCS theory contains a...

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Bibliographic Details
Published in:The journal of high energy physics 2012-05, Vol.2012 (5), Article 71
Main Authors: Andrade, Tomás, Jottar, Juan I., Leigh, Robert G.
Format: Article
Language:English
Subjects:
Boundary conditions
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Holography
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
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Summary:A bstract We consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions consistent with conservation of the symplectic structure. As is well-known, the MCS theory contains a massive sector dual to a vector operator in the boundary theory, and a topological sector consisting of flat connections dual to U(1) chiral currents; the boundary conditions we examine include double-trace deformations in these two sectors, as well as a class of boundary conditions that mix the vector operators with the chiral currents. We carefully study the symplectic product of bulk modes and show that almost all such boundary conditions induce instabilities and/or ghost excitations, consistent with violations of unitarity bounds in the dual theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2012)071