Universal features of holographic anomalies

Journal of High Energy Physics

Volumn 7, Issue 10, 2003, Pages 1-15

  Schwimmer, Adam ^a   Theisen, Stefan ^b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

AdS CFT and dS CFT correspondence; Anomalies in Field and String Theories

Indexed keywords

EID: 23044472407     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/10/001     Document Type: Article

References (24)

1. M.J. Duff, Twenty years of the Weyl anomaly, Class, and Quant. Grav. 11 (1994) 1387 [hep-th/9308075] and references therein.
2. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150].
3. M. Henningson and K. Skenderis, The holographic Weyl anomaly, J. High Energy Phys. 07 (1998) 023 [hep-th/9806087].
4. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Kept. 323 (2000) 183 [hep-th/9905111].
5. C. Imbimbo, A. Schwimmer, S. Theisen and S. Yankielowicz, Diffeomorphisms and holographic anomalies, Class, and Quant. Grav. 17 (2000) 1129 [hep-th/9910267].
6. R.Penrose and W. Rindler, Spinors and Spacetime, CUP 1986, vol.2, chapter 9.
7. J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207.
8. A. Schwimmer and S. Theisen, Diffeomorphisms, anomalies and the Fefferman-Graham ambiguity, J. High Energy Phys. 08 (2000) 032 [hep-th/0008082].
9. C. Fefferman and R. Graham, Conformal invariants, Astérisque, hors série, 1995, p.95.
10. S. Deser and A. Schwimmer, Geometric classification of conformal anomalies in arbitrary dimensions, Phys. Lett. B 309 (1993) 279 [hep-th/9302047].
11. J. de Boer, E. Verlinde and H. Verlinde, On the holographic renormalization group, J. High Energy Phys. 08 (2000) 003 [hep-th/9912012].
12. J. Kalkkinen, D. Martelli and W. Muck, Holographic renormalisation and anomalies, J. High Energy Phys. 04 (2001) 036 [hep-th/0103111].
13. D. Martelli and W. Muck, Holographic renormalization and Ward identities with the Hamilton-Jacobi method, Nucl. Phys. B 654 (2003) 248 [hep-th/0205061].
14. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographie reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230].
15. S. Nojiri and S.D. Odintsov, On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence, Int. J. Mod. Phys. A 15 (2000) 413 [hep-th/9903033].
16. M. Blau, K.S. Narain and E. Gava, On subleading contributions to the AdS/CFT trace anomaly, J. High Energy Phys. 09 (1999) 018 [hep-th/9904179].
17. M. Abramowitz and I. Stegun, Handbook of mathematical functions, National Bureau of Standards Applied Mathematics Series 55, tenth printing 1972.
18. 5, Nucl. Phys. B 579 (2000) 117 [hep-th/9912210].
19. M. Bianchi, D.Z. Freedman and K. Skenderis, How to go with an RG flow, J. High Energy Phys. 08 (2001) 041 [hep-th/0105276];
20. Holographic renormalization, Nucl. Phys. B 631 (2002) 159 [hep-th/0112119].
21. K. Skenderis, Lecture notes on holographic renormalization, Class, and Quant. Grav. 19 (2002) 5849 [hep-th/0209067].
22. S.A. Fulling, R.C. King, B.G. Wybourne and C.J. Cummins, Normal forms for tensor polynomials, 1. The Riemann tensor, Class, and Quant. Grav. 9 (1992) 1151.
23. J. Erdmenger, Conformally covariant differential operators: properties and applications, Class, and Quant. Grav. 14 (1997) 2061 [hep-th/9704108].
24. S. Theisen, unpublished.