English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a general and systematic treatment of multi-trace deformations inthe AdS/CFT correspondence in the large N limit, pointing out and clarifyingsubtleties relating to the formulation of the boundary value problem on aconformal boundary. We then apply this method to study multi-trace deformationsin the presence of a scalar VEV, which requires the coupling to gravity to betaken into account. We show that supergravity solutions subject to `mixed'boundary conditions are in one-to-one correspondence with critical points ofthe holographic effective action of the dual theory in the presence of amulti-trace deformation, and we find a number of new exact analytic solutionsinvolving a minimally or conformally coupled scalar field satisfying `mixed'boundary conditions. These include the generalization to any dimension of theinstanton solution recently found in hep-th/0611315. Finally, we provide asystematic method for computing the holographic effective action in thepresence of a multi-trace deformation in a derivative expansion away from theconformal vacuum using Hamilton-Jacobi theory. Requiring that this effectiveaction exists and is bounded from below reproduces recent results on thestability of the AdS vacuum in the presence of `mixed' boundary conditions.Comment: 41 pages, 1 figure; v2 typos corrected, references added; v3 few more  typos corrected and minor comments added. Version to appear in JHE

Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT