A derivation of Weyl gravity

Annalen der Physik (Leipzig)

Volumn 10, Issue 11-12, 2001, Pages 935-964

  Boulanger, Nicolas ^a,c   Henneaux, Marc ^a,b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

^c Chercheur FRIA ^*  (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; POLYNOMIALS; TENSORS; THEOREM PROVING;

BECCHI ROUET AND STORA AND TYUTIN SYMMETRY; COHOMOLOGICAL TECHNIQUES; COHOMOLOGY; EINSTEIN THEORY; LINEARIZED CONFORMAL GRAVITY; LORENTZ INVARIANCE; WEYL GRAVITY;

GRAVITATION;

EID: 0035194109     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3889(200111)10:11/12<935::AID-ANDP935>3.0.CO;2-Z     Document Type: Article

References (55)

1. C. Becchi, A. Rouet, and R. Stora, Commun. Math. Phys. 42, 127 (1975)
2. I. V. Tyutin, preprint LEBEDEV-75-39, unpublished
3. G. Barnich, F. Brandt, and M. Henneaux, Commun. Math. Phys. 174 (1995) 57 [hep-th/9405109]
4. G. Barnich, F. Brandt, and M. Henneaux, Commun. Math. Phys. 174 (1995) 93 [hep-th/9405194]
5. G. Barnich, F. Brandt, and M. Henneaux, Nucl. Phys. B 455 (1995) 357 [hep-th/9505173]
6. G. Barnich and M. Henneaux, Phys. Lett. B 311 (1993) 123 [hep-th/9304057]
7. C. W. Misner, K. S. Thorne, and J. A. Wheeler, "Gravitation", Freeman (San Francisco: 1973) (chapter 17)
8. W. Pauli and M. Fierz, Helv. Phys. Acta 12 (1939) 297
9. S. N. Gupta, Phys. Rev. 96 (1954) 1683;
10. R. H. Kraichnan, Phys. Rev. 98 (1955) 1118;
11. R. P. Feynman, F. B. Morinigo, W. G. Wagner, and B. Hatfield, "Feynman lectures on gravitation," Reading, USA: Addison-Wesley (1995) 232 p. (The advanced book program);
12. S. Weinberg, Phys. Rev. B 138 (1965) 988;
13. V. I. Ogievetsky and I. V. Polubarinov, Ann. Phys. (NY) 35 (1965) 167;
14. W. Wyss, Helv. Phys. Acta 38 (1965) 469;
15. S. Deser, Gen. Rel. Grav. 1 (1970) 9;
16. D. G. Boulware and S. Deser, Ann. Phys. (NY) 89 (1975) 193;
17. J. Fang and C. Fronsdal, J. Math. Phys. 20 (1979) 2264;
18. F. A. Berends, G. J. Burgers, and H. Van Dam, Z. Phys. C 24 (1984) 247;
19. R. M. Wald, Phys. Rev. D 33 (1986) 3613;
20. G. 't Hooft and M. Veltman, Annales Inst. H. Poincaré Phys. Theor. A 20 (1974) 69
21. N. Boulanger, T. Damour, L. Gualtieri, and M. Henneaux, Nucl. Phys. B 597 (2001) 127 [hep-th/0007220];
22. proceedings of International Conference on Quantization, Gauge Theory, and Strings: Conference Dedicated to the Memory of Professor Efim Fradkin, Moscow, Russia, 5-10 Jun 2000, [hep-th/0009109]
23. V. Balasubramanian, E. Gimon, D. Minic, and J. Rahmfeld, [hep-th/0007211]
24. H. J. Schmidt, [gr-qc/0105108]
25. E. S. Fradkin and A. A. Tseytlin, Phys. Rept. 119 233 (1985)
26. J. Zinn-Justin, Quantum Field Theory And Critical Phenomena, Oxford, UK: Clarendon (1989)
27. International series of monographs on physics, 77. Third edition 1996;
28. J. Zinn-Justin, Renormalization Of Gauge Theories, SACLAY-D.PH-T-74-88 Lectures given at Int. Summer Inst. for Theoretical Physics, Jul 29-Aug 9, 1974, Bonn, West Germany
29. B. de Wit and J. W. van Holten, Phys. Lett. B 79 (1978) 389
30. I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D 28 (1983) 2567
31. M. Henneaux, Nucl. Phys. B (Proc. Suppl.) 18 A (1990) 47
32. J. Gomis, J. Paris, and S. Samuel, Phys. Rep. 259 (1995) 1
33. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, Princeton University Press, Princeton: 1992,
34. J. Stasheff, [q-alg/9702012]
35. M. Henneaux, Proceedings of a Conference on Secondary Calculus and Cohomological Physics, Aug 24-31, 1997, Moscow, Russia, Cont. Math. 219 (1998) 93 [hep-th/9712226]
36. G. Barnich, F. Brandt, and M. Henneaux, Phys. Rept. 338, 439 (2000) [hep-th/0002245]
37. A. Schwimmer and S. Theisen, JHEP 0008 (2000) 032 [hep-th/0008082]
38. F. Brandt, W. Troost, and A. Van Proeyen, Phys.Lett. B 374 (1996) 31-36 [hep-th/9510195]
39. F. Brandt, W. Troost, and A. Van Proeyen, Nucl.Phys. B 464 (1996) 353-408 [hep-th/9509035]
40. R. Bach, Math. Z. 9 (1921) 110
41. M. Dubois-Violette, M. Henneaux, M. Talon, and C. Viallet, Phys. Lett. B 267 (1991) 81
42. J. M. Fisch and M. Henneaux, Comm. Math Phys. 128 (1990) 627
43. M. Henneaux, Commun. Math. Phys. 140 (1991) 1
44. F. Brandt, [hep-th/0105010]
45. C. Cutler and R. Wald, Class. Quant. Grav. 4 (1987) 1267
46. R. Wald, Class. Quant. Grav. 4 (1987) 1279
47. S. C. Anco, Annals Phys. 270 (1998) 52
48. M. Kaku, P. K. Townsend, and P. Van Nieuwenhuizen, Phys. Lett. B 69 (1977) 304
49. M. Kaku, P. K. Townsend, and P. van Nieuwenhuizen, Phys. Rev. D 17 (1978) 3179
50. P. K. Townsend and P. van Nieuwenhuizen, Phys. Rev. D 19 (1979) 3166
51. P. van Nieuwenhuizen, Gauging of spacetime algebras, in: Quantum Groups and their applications in Physics, Proceedings of the 127th Enrico Fermi School at Varenna, June 1996, p. 595
52. S. Deser, R. Jackiw, and S. Templeton, Annals Phys. 140 (1982) 372 [Erratum-ibid. 185 (1982) 372]
53. H. Horne and E. Witten, Phys. Rev. Lett. 62 (1989) 501
54. C. Fefferman and C. Graham, Astérisque, hors série (1985) 95
55. T. Parker and S. Rosenberg, J. Diff. Geometry 25 (1987) 199