Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 72, Issue 2, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-012-1870-z
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Funding
- National Science Foundation [PHY05-55662]
- UC Berkeley Center for Theoretical Physics
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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.
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