Setting the boundary free in AdS/CFT
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Publication:3531205
DOI10.1088/0264-9381/25/19/195014zbMATH Open1151.83305arXiv0805.1902OpenAlexW2078377301WikidataQ62398148 ScholiaQ62398148MaRDI QIDQ3531205
Author name not available (Why is that?)
Publication date: 21 October 2008
Published in: (Search for Journal in Brave)
Abstract: We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action render such fluctuations normalizable. In the context of AdS/CFT, the analogue of Neumann boundary conditions for AdS promotes the CFT metric to a dynamical field but adds no explicit gravitational dynamics; the gravitational dynamics is just that induced by the conformal fields. Other AdS boundary conditions couple the CFT to a gravity theory of choice. We use this correspondence to briefly explore the coupled CFT + gravity theories and, in particular, for d=3 we show that coupling topologically massive gravity to a large N CFT preserves the perturbative stability of the theory with negative (3-dimensional) Newton's constant.
Full work available at URL: https://arxiv.org/abs/0805.1902
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