Sep 2, 2010
Higher derivative corrections in holographic Zamolodchikov-Polchinski theorem
European Physical Journal C
- Volume
- 72
- Number
- 2
- First page
- 1
- Last page
- 7
- Language
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1140/epjc/s10052-012-1870-z
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.
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.
- Link information
-
- DOI
- https://doi.org/10.1140/epjc/s10052-012-1870-z
- arXiv
- http://arxiv.org/abs/arXiv:1009.0491
- URL
- http://arxiv.org/abs/1009.0491v3
- URL
- http://arxiv.org/pdf/1009.0491v3 Open access
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84856380448&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84856380448&origin=inward
- ID information
-
- DOI : 10.1140/epjc/s10052-012-1870-z
- ISSN : 1434-6044
- eISSN : 1434-6052
- arXiv ID : arXiv:1009.0491
- SCOPUS ID : 84856380448