Regular Article - Theoretical Physics
Higher derivative corrections in holographic Zamolodchikov–Polchinski theorem
California Institute of Technology, Pasadena, CA, 91125, USA
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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