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Published February 2012 | public
Journal Article

Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem

Nakayama, Yu

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.

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.

Additional details

Created:
August 19, 2023
Modified:
October 17, 2023