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The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity

9 Pith papers cite this work, alongside 492 external citations. Polarity classification is still indexing.

9 Pith papers citing it
492 external citations · Pith
abstract

We examine the AdS/CFT correspondence when the gauge theory is considered on a compactified space with supersymmetry breaking boundary conditions. We find that the corresponding supergravity solution has a negative energy, in agreement with the expected negative Casimir energy in the field theory. Stability of the gauge theory would imply that this supergravity solution has minimum energy among all solutions with the same boundary conditions. Hence we are lead to conjecture a new positive energy theorem for asymptotically locally Anti-de Sitter spacetimes. We show that the candidate minimum energy solution is stable against all quadratic fluctuations of the metric.

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representative citing papers

Quantum Solitons

hep-th · 2026-04-06 · unverdicted · novelty 6.0

Quantum soliton solutions in AdS3 are constructed via branes in 4D AdS C-metric, with negative-mass cases describing thermal CFT backreaction on global AdS3 and positive-mass cases replacing horizons with smooth origins.

Confinement in Holographic Theories at Finite Theta

hep-th · 2026-03-25 · conditional · novelty 5.0

A 5D bottom-up holographic model with a theta-sourced scalar reproduces the lattice result that the deconfinement temperature drops quadratically with θ/N, and predicts θ-dependence of the transition rate.

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