Rotating Rindler-AdS Space

Abstract

If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz group, we find interesting one-parameter families of stationary vacua in three-dimensional anti-de Sitter space. In particular, there exists a family of rotating Rindler vacua, labeled by the rotation parameter beta, which are related to the usual Rindler vacuum by non-trivial Bogolubov transformations. Rotating Rindler-AdS space possesses not only an observer-dependent event horizon but even an observer-dependent ergosphere. We also find rotating vacua in global AdS provided a certain region of spacetime is excluded.

14 pages, LaTeX

References in corpus (3)

• Holographic representation of local bulk operators
• Seeing a c-theorem with holography
• Brane-World Motion in Compact Dimensions

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• Operator Size for Holographic Field Theories
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• All the Stationary Vacuum States of De Sitter Space
• Conformal Symmetry, Rindler Space and The AdS/CFT Correspondence
• Acceleration in de Sitter spacetimes
• Spin chains and classical strings in rotating Rindler-AdS space
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds