Scale versus conformal invariance in the AdS/CFT correspondence

Adel M. Awad and Clifford V. Johnson
Phys. Rev. D 62, 125010 – Published 21 November 2000
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Abstract

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a specific type. We define this using the AdS/CFT correspondence, which relates the physics of gravity in asymptotically anti–de Sitter (AdS) spacetimes to that of a conformal field theory (CFT) in one dimension fewer. The AdS rotating (Kerr) black holes in five and seven dimensions provide us with the examples, since by the correspondence we are able to define and compute the action and stress tensor of four and six dimensional field theories residing on rotating Einstein universes, using the “boundary counterterm” method. The rotation breaks conformal but not scale invariance. The AdS/CFT framework is therefore a natural arena for generating such examples of non-trivial scale invariant theories which are not conformally invariant.

  • Received 15 June 2000

DOI:https://doi.org/10.1103/PhysRevD.62.125010

©2000 American Physical Society

Authors & Affiliations

Adel M. Awad*

  • Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506
  • Department of Physics, Faculty of Science, Ain Shams University, Cairo 11566, Egypt

Clifford V. Johnson

  • Centre for Particle Theory, Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom

  • *Email address: adel@pa.uky.edu
  • Email address: c.v.johnson@durham.ac.uk

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Issue

Vol. 62, Iss. 12 — 15 December 2000

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