Becchi-Rouet-Stora cohomology of zero curvature systems. I. The complete ladder case

Journal of Mathematical Physics

Volumn 37, Issue 11, 1996, Pages 5310-5324

  Carvalho, M ^a   Vilar, L C Q ^a   Sasaki, C A G ^a   Sorella, S P ^b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030517946     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531707     Document Type: Article

References (55)

1. O. Piguet and S. P. Sorella, Algebraic Renormalization, Monographs Series, m 28 (Springer-Verlag, Berlin, 1995).
2. S. P. Sorella, Commun. Math. Phys. 157, 231 (1993).
3. S. P. Sorella and L. Tataru, Phys. Lett. B 324, 351 (1994).
4. M. Werneck de Oliveira and S. P. Sorella, Int. J. Mod. Phys. A 9, 2979 (1994); O. Moritsch, M. Schweda, and S. P. Sorella, Class. Quantum Grav. 11, 1225 (1994); O. Moritsch and M. Schweda, Helv. Phys. Acta 67, 289 (1994); P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "Algebraic structure of gravity in Ashtekar variables," REP.TUW 94-19; O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables," REP.TUW 94-17.
5. M. Werneck de Oliveira and S. P. Sorella, Int. J. Mod. Phys. A 9, 2979 (1994); O. Moritsch, M. Schweda, and S. P. Sorella, Class. Quantum Grav. 11, 1225 (1994); O. Moritsch and M. Schweda, Helv. Phys. Acta 67, 289 (1994); P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "Algebraic structure of gravity in Ashtekar variables," REP.TUW 94-19; O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables," REP.TUW 94-17.
6. M. Werneck de Oliveira and S. P. Sorella, Int. J. Mod. Phys. A 9, 2979 (1994); O. Moritsch, M. Schweda, and S. P. Sorella, Class. Quantum Grav. 11, 1225 (1994); O. Moritsch and M. Schweda, Helv. Phys. Acta 67, 289 (1994); P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "Algebraic structure of gravity in Ashtekar variables," REP.TUW 94-19; O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables," REP.TUW 94-17.
7. M. Werneck de Oliveira and S. P. Sorella, Int. J. Mod. Phys. A 9, 2979 (1994); O. Moritsch, M. Schweda, and S. P. Sorella, Class. Quantum Grav. 11, 1225 (1994); O. Moritsch and M. Schweda, Helv. Phys. Acta 67, 289 (1994); P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "Algebraic structure of gravity in Ashtekar variables," REP.TUW 94-19; O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables," REP.TUW 94-17.
8. M. Werneck de Oliveira and S. P. Sorella, Int. J. Mod. Phys. A 9, 2979 (1994); O. Moritsch, M. Schweda, and S. P. Sorella, Class. Quantum Grav. 11, 1225 (1994); O. Moritsch and M. Schweda, Helv. Phys. Acta 67, 289 (1994); P. A. Blaga, O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "Algebraic structure of gravity in Ashtekar variables," REP.TUW 94-19; O. Moritsch, M. Schweda, T. Sommer, L. Tataru, and H. Zerrouki, "BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables," REP.TUW 94-17.
9. G. Bandelloni, Nuovo Cimento A 88, 1 (1985); 88, 31 (1985).
10. G. Bandelloni, Nuovo Cimento A 88, 1 (1985); 88, 31 (1985).
11. F. Brandt, N. Dragon, and M. Kreuzer, Nucl. Phys. B 340, 187 (1990); F. Brandt, "Structure of BRS Invariant Local Functionals," NIKHEF-H-93-12, hep-th/9310123; G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in Einstein-Yang-Mills theory," KUL-TF-95/16, ULB-TH-95/07, hep-th/9505173.
12. F. Brandt, N. Dragon, and M. Kreuzer, Nucl. Phys. B 340, 187 (1990); F. Brandt, "Structure of BRS Invariant Local Functionals," NIKHEF-H-93-12, hep-th/9310123; G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in Einstein-Yang-Mills theory," KUL-TF-95/16, ULB-TH-95/07, hep-th/9505173.
13. F. Brandt, N. Dragon, and M. Kreuzer, Nucl. Phys. B 340, 187 (1990); F. Brandt, "Structure of BRS Invariant Local Functionals," NIKHEF-H-93-12, hep-th/9310123; G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in Einstein-Yang-Mills theory," KUL-TF-95/16, ULB-TH-95/07, hep-th/9505173.
14. E. Guadagnini, N. Maggiore, and S. P. Sorella, Phys. Lett. B 255, 65 (1991); C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. B 395, 325 (1993); D. Birmingham and M. Rakowski, Phys. Lett. B 275, 289 (1992); 289, 271 (1992).
15. E. Guadagnini, N. Maggiore, and S. P. Sorella, Phys. Lett. B 255, 65 (1991); C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. B 395, 325 (1993); D. Birmingham and M. Rakowski, Phys. Lett. B 275, 289 (1992); 289, 271 (1992).
16. E. Guadagnini, N. Maggiore, and S. P. Sorella, Phys. Lett. B 255, 65 (1991); C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. B 395, 325 (1993); D. Birmingham and M. Rakowski, Phys. Lett. B 275, 289 (1992); 289, 271 (1992).
17. E. Guadagnini, N. Maggiore, and S. P. Sorella, Phys. Lett. B 255, 65 (1991); C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. B 395, 325 (1993); D. Birmingham and M. Rakowski, Phys. Lett. B 275, 289 (1992); 289, 271 (1992).
18. C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. 395, 325 (1993); O. Piguet, "On the Role of Vector Supersymmetry in Topological Field Theory," UGVA-DPT 1995/02-880, hep-th/9502033.
19. C. Lucchesi, O. Piguet, and S. P. Sorella, Nucl. Phys. 395, 325 (1993); O. Piguet, "On the Role of Vector Supersymmetry in Topological Field Theory," UGVA-DPT 1995/02-880, hep-th/9502033.
20. A. Brandhuber, O. Moritsch, M. W. de Oliveira, O. Piguet, and M. Schweda, Nucl. Phys. B 341, 173 (1994).
21. M. Werneck de Oliveira, M. Schweda, and S. P. Sorella, Phys. Lett. B 315, 93 (1993); G. Bandelloni and S. Lazzarini, J. Math. Phys. 34, 5413 (1993).
22. M. Werneck de Oliveira, M. Schweda, and S. P. Sorella, Phys. Lett. B 315, 93 (1993); G. Bandelloni and S. Lazzarini, J. Math. Phys. 34, 5413 (1993).
23. A. Boresch, M. Schweda, and S. P. Sorella, Phys. Lett. B 328, 36 (1994).
24. 3-Gravity," CBPF-NF-042/94, to appear in Int. J. Mod. Phys. A.
25. J. A. Dixon, Commun. Math. Phys. 139, 495 (1991).
26. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
27. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
28. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
29. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
30. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
31. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
32. J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980); Nuovo Cimento A 56, 396 (1980); L. Baulieu, Nucl. Phys. B 241, 557 (1984); L. Baulieu and J. Thierry-Mieg, Phys. Lett. B 145, 53 (1984); J. Manes, R. Stora, and B. Zumino, Commun. Math. Phys. 102, 157 (1985); R. Stora, "Algebraic Structure and Topological Origin of Anomalies," in Progress in Gauge Field Theory, edited by 't Hofft et al. (Plenum, New York, 1984); R. D. Ball, Phys. Rev. 182, 1 (1989).
33. M. Dubois-Violette, M. Talon, and C. M. Viallet, Commun. Math, Phys. 102, 105 (1985).
34. D. Garajeu, R. Grimm, and S. Lazzarini, "W-Gauge Structure And Their Anomalies, An Algebraic Approach," CPT-94/P.3078.
35. D. Birmingham, M. Blau, M. Rakowski, and G. Thompson, Phys. Rev. 209, 129 (1991).
36. M. Green, J. Schwarz, and E. Witten, Superstring Theory, Vols. I and II (Cambridge University Press, Cambridge, 1987).
37. M. Abud, J. P. Ader, and L. Cappiello, Nuovo Cimento A 105, 1507 (1992).
38. M. Dubois-Violette, M. Henneaux, M. Talon, and C. M. Viallet, Phys. Lett. B 289, 361 (1992).
39. F. Brandt, N. Dragon, and M. Kreuzer, Phys. Lett. B 231, 263 (1989); Nucl. Phys. B 332, 224, 250 (1990).
40. F. Brandt, N. Dragon, and M. Kreuzer, Phys. Lett. B 231, 263 (1989); Nucl. Phys. B 332, 224, 250 (1990).
41. L. Faddeev, Integrable Models in (1+1)-dimensional Quantum Field Theory, edited by J. B. Zuber and R. Stora (Les Houches, 1982); A. Das, Integrable Models (World Scientific, Singapore, 1989).
42. L. Faddeev, Integrable Models in (1+1)-dimensional Quantum Field Theory, edited by J. B. Zuber and R. Stora (Les Houches, 1982); A. Das, Integrable Models (World Scientific, Singapore, 1989).
43. A. Das and S. Roy, J. Math. Phys. 31, 2145 (1990); A. Das, W. J. Huang, and S. Roy, Int. J. Mod. Phys. A 7, 3447 (1992); G. Akerman and R. Grimm, J. Math. Phys. 34, 818 (1993); F. Brandt, J. Math. Phys. 35, 2463 (1994).
44. A. Das and S. Roy, J. Math. Phys. 31, 2145 (1990); A. Das, W. J. Huang, and S. Roy, Int. J. Mod. Phys. A 7, 3447 (1992); G. Akerman and R. Grimm, J. Math. Phys. 34, 818 (1993); F. Brandt, J. Math. Phys. 35, 2463 (1994).
45. A. Das and S. Roy, J. Math. Phys. 31, 2145 (1990); A. Das, W. J. Huang, and S. Roy, Int. J. Mod. Phys. A 7, 3447 (1992); G. Akerman and R. Grimm, J. Math. Phys. 34, 818 (1993); F. Brandt, J. Math. Phys. 35, 2463 (1994).
46. A. Das and S. Roy, J. Math. Phys. 31, 2145 (1990); A. Das, W. J. Huang, and S. Roy, Int. J. Mod. Phys. A 7, 3447 (1992); G. Akerman and R. Grimm, J. Math. Phys. 34, 818 (1993); F. Brandt, J. Math. Phys. 35, 2463 (1994).
47. T. Eguchi, B. Gilkey, and J. Hanson, Phys. Rev. 6, 213 (1980).
48. G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in the antifield formalism: I. General theorems," ULB-TH-94/06, NIKHEF-H 94-13, hepth/9405109; G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory," ULB-TH-94/07, NIKHEF-H 94-15.
49. G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in the antifield formalism: I. General theorems," ULB-TH-94/06, NIKHEF-H 94-13, hepth/9405109; G. Barnich, F. Brandt, and M. Henneaux, "Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory," ULB-TH-94/07, NIKHEF-H 94-15.
50. I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 102, 27 (1981); Phys. Rev. D 28, 2567 (1983).
51. I. A. Batalin and G. A. Vilkovisky, Phys. Lett. B 102, 27 (1981); Phys. Rev. D 28, 2567 (1983).
52. G. T. Horowitz, Commun. Math. Phys. 125, 417 (1989); G. T. Horowitz and M. Srednicki, Commun. Math. Phys. 130, 83 (1990); M. Blau and G. Thompson, Ann. Phys. (N.Y.) 205, 130 (1991).
53. G. T. Horowitz, Commun. Math. Phys. 125, 417 (1989); G. T. Horowitz and M. Srednicki, Commun. Math. Phys. 130, 83 (1990); M. Blau and G. Thompson, Ann. Phys. (N.Y.) 205, 130 (1991).
54. G. T. Horowitz, Commun. Math. Phys. 125, 417 (1989); G. T. Horowitz and M. Srednicki, Commun. Math. Phys. 130, 83 (1990); M. Blau and G. Thompson, Ann. Phys. (N.Y.) 205, 130 (1991).
55. F. Brandt, W. Troost, and A. Van Proeyen, NIKHEF-H 94-16, KUL-TF 94/17, hep-th/9407061, Proceedings of the Workshop Geometry of Constrained Dynamical Systems (Isaac Newton Institute for Mathematical Sciences, Cambridge, 1994).