Abstract
Motivated by the anti–de Sitter conformal field theory correspondence, we show that there is remarkable agreement between static supergravity solutions and extrema of a field theory potential. For essentially any function there are boundary conditions in anti—de Sitter space so that gravitational solitons exist precisely at the extrema of and have masses given by the value of at these extrema. Based on this, we propose new positive energy conjectures. On the field theory side, each function can be interpreted as the effective potential for a certain operator in the dual field theory.
- Received 11 January 2005
DOI:https://doi.org/10.1103/PhysRevLett.94.221301
©2005 American Physical Society