Designer Gravity and Field Theory Effective Potentials

Thomas Hertog and Gary T. Horowitz
Phys. Rev. Lett. 94, 221301 – Published 8 June 2005

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 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.

  • Figure
  • Figure
  • Figure
  • Received 11 January 2005

DOI:https://doi.org/10.1103/PhysRevLett.94.221301

©2005 American Physical Society

Authors & Affiliations

Thomas Hertog and Gary T. Horowitz

  • Department of Physics, UCSB, Santa Barbara, California 93106, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 94, Iss. 22 — 10 June 2005

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×