Phys. Rev. Lett. 94, 221301 (2005) [4 pages]Designer Gravity and Field Theory Effective PotentialsReceived 11 January 2005; published 8 June 2005 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 V(α) 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.221301
DOI:
10.1103/PhysRevLett.94.221301
PACS:
04.62.+v, 04.65.+e, 11.25.Tq
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.