https://doi.org/10.1140/epjc/s10052-012-1870-z
Regular Article - Theoretical Physics
Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem
California Institute of Technology, Pasadena, CA, 91125, USA
* e-mail: nakayama@theory.caltech.edu
Received:
3
December
2011
Revised:
26
December
2011
Published online:
3
February
2012
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 two-dimensional field theoretic proof of the both.
© Springer-Verlag / Società Italiana di Fisica, 2012
