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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this work, we derive an upper bound on energetic quantities, namely vacuumenergy and free energy, for static solutions of Einstein-Scalar theory in fourdimensional asymptotically locally Anti-de Sitter(AlAdS) spacetime with anontrivial scalar potential where the scalar field mass parameter($m^2$) isequal to 0 or -2. This system is the holographic dual of strongly coupledconformal field theory(CFT) in three dimensions being deformed by a relevant ormarginal scalar operator of conformal dimension $\Delta=1, 2, 3$. The bound isderived from a purely gravitational perspective regardless of the inhomogeneityof the static conformal boundary of AlAdS and the source of the deformation. Wedemonstrate the bound in simple settings and check the consistency with theknown previous bounds.

A new energy bound for Einstein-Scalar theory in AlAdS$_4$ and holographic bound for deformed CFT$_3$