Designer Gravity and Field Theory Effective Potentials

Abstract

Motivated by the AdS/CFT correspondence, we show that there is a remarkable agreement between static supergravity solutions and extrema of a field theory potential. For essentially any function V, there are boundary conditions in anti de Sitter space so that gravitational solitons exist precisely at the extrema of V and have masses given by the value of V at these extrema. Based on this, we propose new positive energy conjectures. On the field theory side, each function V can be interpreted as the effective potential for a certain operator in the dual field theory.

4 pages

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• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• Asymptotically Anti-de Sitter spacetimes and scalar fields with a logarithmic branch

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