Double-trace operators and one-loop vacuum energy in AdS/CFT
Steven S. Gubser, Indrajit Mitra (Princeton University)
TL;DR
This paper calculates the one-loop vacuum energy of a tachyon in AdS space with double-trace boundary conditions, providing insights into RG flows and holographic c-theorem beyond classical supergravity.
Contribution
It presents a one-loop quantum correction calculation in AdS/CFT with double-trace operators, extending the understanding of holographic RG flows and the c-theorem.
Findings
Verifies the holographic c-theorem at one-loop level.
Shows how double-trace operators induce RG flows between CFTs.
Provides a method for quantum corrections in holographic models.
Abstract
We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation.
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