Exploring the holographic principle in asymptotically flat spacetimes via the BMS group

Nuclear Physics B

Volumn 674, Issue 3, 2003, Pages 553-592

  Arcioni, Giovanni ^a,c   Dappiaggi, Claudio ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF PAVIA   (Italy)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242635771     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.09.051     Document Type: Article

References (45)

1. 't Hooft G. Dimensional Reduction in Quantum Gravity Essay published in Salamfest, 1993, p. 284 gr-qc/9310026
2. 't Hooft G. Quantum gravity as a dissipative deterministic system Class. Quantum Grav. 16 1999 3263 gr-qc/9903084
3. Aharony O. Gubser S.S. Maldacena J.M. Ooguri H. Oz Y. Large N field theories, string theory and gravity Phys. Rep. 323 2000 183 hep-th/9905111
4. Bousso R. The holographic principle Rev. Mod. Phys. 74 2002 825-874
5. Sachs R. Asymptotic symmetries in gravitational theory Phys. Rev. 128 1962 2851-2864
6. Skenderis K. Lecture notes on holographic renormalization Class. Quantum Grav. 19 2002 5849 hep-th/0209067
7. Bondi H. van der Burg M.G.J. Metzner A.W.K. Gravitational waves in general relativity VII. Waves from axi-symmetric isolated points Proc. R. Soc. London Ser. A 269 1962 21
8. Tamburino L.A. Winicour J.H. Gravitational fields in finite and conformal Bondi frames Phys. Rev. 150 1966 103
9. Geroch R. in: Esposito P. Witten L. (Eds.), Asymptotic Structure of Spacetime 1977 Plenum New York
10. Penrose in: R. Barut A.O. (Ed.), Group Theory in Non-Linear Problems 1974 97 Reidel Dordrecht Chapter 1
11. Newman E.T. Unti T.W. Behaviour of asymptotically flat space-times J. Math. Phys. 3 1962 891-901
12. Bramson B.D. The invariance of spin Proc. R. Soc. London Ser. A 364 1978-383
13. Ashtekar A. Bicak J. Schmidt B.G. Asymptotic structure of symmetry reduced general relativity Phys. Rev. D 55 1997 669 gr-qc/9608042
14. Ashtekar A. Streubel M. On the angular momentum of stationary gravitating systems J. Math. Phys. 20 7 1979 1362
15. Penrose R. Quasi-local mass and angular momentum in general relativity Proc. R. Soc. London Ser. A 381 1982 53
16. Penrose R. Rindler W. Spinors and Space-Time, Vol. 2, Spinor and Twistor Methods in Space-Time Geometry 1986 Cambridge Univ. Press Cambridge
17. Ashtekar A. Magnon A. Asymptotically anti-de Sitter spacetimes Class. Quantum Grav. 1 1984 L39-L44
18. Fefferman C. Graham C.R. Conformal invariants Elie Cartan et les Mathématiques d'Aujourd'hui 1985 95 Asterisque
19. Glass E.N. A conserved Bach current Class. Quantum Grav. 18 2001 3935
20. Barut A.O. Raczka R. Theory of Group Representation and Applications 2nd Edition 1986 World Scientific Singapore
21. Simms D.J. Lie Groups and Quantum Mechanics 1968 Springer-Verlag Berlin
22. O'Raifeartaigh L. in: Bergmann V. (Ed.), Group Representations in Mathematics and Physics, Battelle Seattle 1969 Rencontres 1970 Springer-Verlag Berlin
23. McCarthy P.J. Representations of the Bondi-Metzner-Sachs group I Proc. R. Soc. London Ser. A 330 1972 517
24. McCarthy P.J. The Bondi-Metzner-Sachs in the nuclear topology Proc. R. Soc. London Ser. A 343 1975 489
25. McCarthy P.J. Representations of the Bondi-Metzner-Sachs group II Proc. R. Soc. London Ser. A 333 1973 317
26. Crampin M. McCarthy P.J. Physical significance of the Topology of the Bondi-Metzner-Sachs Phys. Rev. Lett. 33 1974 547
27. Komar A. Quantized gravitational theory and internal symmetries Phys. Rev. Lett. 15 1965 76
28. Girardello L. Parravicini G. Continuous spins in the Bondi-Metzner-Sachs of asympotically symmetry in general relativity Phys. Rev. Lett. 32 1974 565
29. Asorey M. Boya L.J. Carinena J.F. Covariant representations in a fiber bundle framework Rep. Math. Phys. 21 1986 391
30. Landsman N.P. Wiedemann U.A. Massless particles, electromagnetism, and Rieffel induction Rev. Math. Phys. 7 1995 923 hep-th/9411174
31. McCarthy P.J. Representations of the Bondi-Metzner-Sachs group III Proc. R. Soc. London Ser. A 335 1973 301
32. McCarthy P.J. Real and complex symmetries in quantum gravity, irreducible representations, polygons, polyhedra and the A.D.E. series Philos. Trans. R. Soc. London Ser. A 338 1992 271
33. Ashtekar A. Hansen R.O. A unified treatment of null and spatial infinity in general relativity. I. Universal structure, asymptotic symmetries and conserved quantities at spatial infinity J. Math. Phys. 19 7 1978 1542
34. de Boer J. Solodukhin S.N. A holographic reduction of Minkowski space-time hep-th/0303006
35. Berenstein D. Maldacena J.M. Nastase H. Strings in flat space and pp waves from N = 4 super-Yang-Mills JHEP 0204 2002 013 hep-th/0202021
36. G. Arcioni, C. Dappiaggi, in preparation
37. Bousso R. Holography in general space-times JHEP 9906 1999 028 hep-th/9906022
38. Susskind L. Witten E. The holographic bound in anti-de Sitter space hep-th/9805114
39. 't Hooft G. The scattering matrix approach for the quantum black hole: an overview Int. J. Mod. Phys. A 11 1996 4623 gr-qc/9607022
40. Frolov V.P. Null surface quantization and QFT in asymptotically flat space-time Fortschr. Phys. 26 1978 455
41. McCarthy P.J. Lifting of projective representations of the Bondi-Metzner-Sachs group Proc. R. Soc. London Ser. A 358 1693 1978 141
42. Reed M. Simon B. Methods of Modern Mathematical Physics 1975 Academic Press San Diego
43. Giddings S.B. Flat-space scattering and bulk locality in the AdS/CFT correspondence Phys. Rev. D 61 2000 106008 hep-th/9907129
44. Aharony O. Banks T. Note on the quantum mechanics of M theory JHEP 9903 1999 016 hep-th/9812237
45. Mackey G.W. Induced representations of locally compact groups I Proc. Natl. Acad. Sci. 35 1949 537