Nakayama, Yu (2012) Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem. European Physical Journal C, 72 (2). Art. No. 1870. ISSN 1434-6044. doi:10.1140/epjc/s10052-012-1870-z. https://resolver.caltech.edu/CaltechAUTHORS:20120416-130919609
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Abstract
We study higher derivative corrections in holographic dual of Zamolodchikov–Polchinski theorem that states the equivalence between scale invariance and conformal invariance in unitary d-dimensional Poincaré invariant field theories. From the dual holographic perspective, we find that a sufficient condition to show the holographic theorem is the generalized strict null-energy condition of the matter sector in effective (d + 1)-dimensional gravitational theory. The same condition has appeared in the holographic dual of the “c-theorem” and our theorem suggests a deep connection between the two, which was manifested in twodimensional field theoretic proof of the both.
Item Type: | Article | |||||||||
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Additional Information: | © 2012 Springer-Verlag/Società Italiana di Fisica. Received: 3 December 2011; Revised: 26 December 2011; Published online: 3 February 2012. The work was supported in part by the National Science Foundation under Grant No. PHY05-55662 and the UC Berkeley Center for Theoretical Physics. | |||||||||
Group: | Caltech Theory | |||||||||
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Issue or Number: | 2 | |||||||||
DOI: | 10.1140/epjc/s10052-012-1870-z | |||||||||
Record Number: | CaltechAUTHORS:20120416-130919609 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120416-130919609 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 30103 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 17 Apr 2012 18:16 | |||||||||
Last Modified: | 09 Nov 2021 19:36 |
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