Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem

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 Poincare 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.

13 pages, v2: reference added, v3 some clarification added

References in corpus (3)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• On higher derivative gravity, c-theorems and cosmology

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