Published April 27, 2012 | Version Published
Journal Article Open

Gravity dual for the Hofman-Strominger theorem

  • 1. ROR icon Kavli Institute for the Physics and Mathematics of the Universe
  • 2. ROR icon California Institute of Technology

Abstract

We provide a gravity counterpart of the theorem by Hofman and Strominger that in (1+1) dimension, chiral scale invariance indicates chiral conformal invariance. We show that the strict null energy condition gives a sufficient condition to guarantee the symmetry enhancement. We also investigate a possibility to construct holographic c-function that decreases along the holographic renormalization group flow.

Additional Information

© 2012 American Physical Society. Received 15 February 2012; published 27 April 2012. The author would like to thank the Michigan Center for Theoretical Physics for their hospitality where the initial stage of the work was done. He, in particular, would like to thank Cindy Keeler for stimulating discussions there. He also thanks fruitful discussions with D. Honda and M. Nakamura, who independently studied the same problem and concluded that the geometry must be warped AdS3 [36]. This work is supported by the World Premier International Research Center Initiative of MEXTof Japan.

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Identifiers

Eprint ID
31578
Resolver ID
CaltechAUTHORS:20120521-160915703

Funding

World Premier International Research Center Initiative (MEXT)

Dates

Created
2012-05-22
Created from EPrint's datestamp field
Updated
2021-11-09
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