Deformation quantization of bosonic strings

Journal of Physics A: Mathematical and General

Volumn 33, Issue 44, 2000, Pages 7935-7953

  Garcia Compean H ^a   Plebanski J F ^a   Przanowski, M ^a,b   Turrubiates, F J ^a  

^a DEPARTAMENTO DE FÍSICA   (Mexico)

^b LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034634161     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/44/307     Document Type: Article

References (50)

1. Green M B, Schwarz J H and Witten E 1986 Superstring Theory 2 vols (Cambridge: Cambridge University Press)
2. Polchinski J 1998 String Theory 2 vols (Cambridge: Cambridge University Press)
3. Hatfield B 1992 Quantum Field Theory of Point Particles and Strings (New York: Addison-Wesley)
4. Lüst D and Theisen S 1989 Lectures on String Theory (Lecture Notes in Physics vol 346) (Berlin: Springer)
5. Yau S T (ed) 1987 Mathematical Aspects of String Theory (Singapore: World Scientific)
6. Yau S T (ed) 1998 Mirror Symmetry I (Providence, RI: American Mathematical Society) Greene B and Yau S T (ed) 1997 Minor Symmetry II (Providence, RI: American Mathematical Society)
7. Yau S T (ed) 1998 Mirror Symmetry I (Providence, RI: American Mathematical Society) Greene B and Yau S T (ed) 1997 Minor Symmetry II (Providence, RI: American Mathematical Society)
8. Vafa C 1998 Geometric physics Preprint hep-th/9810149
9. Witten E 1998 D-branes and K-theory J. High Energy Phys. 12(1998)019 Witten E 1998 Preprint hep-th/9810188
10. Witten E 1998 D-branes and K-theory J. High Energy Phys. 12(1998)019 Witten E 1998 Preprint hep-th/9810188
11. Connes A, Douglas M and Schwarz A 1998 Noncommutative geometry and matrix theory: compactification on tori J. High Energy Phys. 02(1998)003 Connes A, Douglas M and Schwarz A 1997 Preprint hep-th/9711162
12. Connes A, Douglas M and Schwarz A 1998 Noncommutative geometry and matrix theory: compactification on tori J. High Energy Phys. 02(1998)003 Connes A, Douglas M and Schwarz A 1997 Preprint hep-th/9711162
13. Schomerus V 1999 D-branes and deformation quantization J. High Energy Phys. 06(1999)030
14. Seiberg N and Witten E 1999 String theory and noncommutative geometry J. High Energy Phys. 09(1999)03 Seiberg N and Witten E 1999 Preprint hep-th/9908142
15. Seiberg N and Witten E 1999 String theory and noncommutative geometry J. High Energy Phys. 09(1999)03 Seiberg N and Witten E 1999 Preprint hep-th/9908142
16. Dito J 1990 Lett. Math. Phys. 20 125 Dito J 1993 Lett. Math. Phys. 27 73
17. Dito J 1990 Lett. Math. Phys. 20 125 Dito J 1993 Lett. Math. Phys. 27 73
18. Antonsen F 1997 Phys. Rev. D 56 920
19. Antonsen F 1997 Deformation quantization of constrained systems Preprint gr-qc/9710021
20. Antonsen F 1997 Deformation quantization of gravity Preprint gr-qc/9712012
21. Curtright T, Fairlie D and Zachos C 1998 Phys. Rev. D 58 025002
22. Curtright T and Zachos C 1999 J. Phys. A: Math. Gen. 32 771
23. García-Compeán H, Plebański J F, Przanowski M and Turrubiates F J 1999 Deformation quantization of classical fields Preprint hep-th/9909206
24. Fedosov B 1994 J. Diff. Geom. 40 213 Kontsevich M 1997 Deformation quantization of Poisson manifolds I Preprint q-alg/9709040
25. Fedosov B 1994 J. Diff. Geom. 40 213 Kontsevich M 1997 Deformation quantization of Poisson manifolds I Preprint q-alg/9709040
26. Berestetskii V B, Lifshitz E M and Pitaevskii L P 1971 Relativistic Quantum Theory (New York: Pergamon)
27. Weyl H 1931 Group Theory and Quantum Mechanics (New York: Dover)
28. Wigner E P 1932 Phys. Rev. 40 749
29. Moyal J E 1949 Proc. Camb. Phil. Soc. 45 99
30. Stratonovich R L 1956 Sov. Phys.-JETP 31 1012
31. Agarwal G S and Wolf E 1970 Phys. Rev. D 2 2161 Agarwal G S and Wolf E 1970 Phys. Rev. D 2 2206
32. Agarwal G S and Wolf E 1970 Phys. Rev. D 2 2161 Agarwal G S and Wolf E 1970 Phys. Rev. D 2 2206
33. Bayen F, Flato M, Fronsdal C, Lichnerowicz A and Sternheimer D 1978 Ann. Phys., NY 111 61 Bayen F, Flato M, Fronsdal C, Lichnerowicz A and Sternheimer D 1978 Ann. Phys., NY 111 111
34. Bayen F, Flato M, Fronsdal C, Lichnerowicz A and Sternheimer D 1978 Ann. Phys., NY 111 61 Bayen F, Flato M, Fronsdal C, Lichnerowicz A and Sternheimer D 1978 Ann. Phys., NY 111 111
35. Tatarskii W I 1983 Usp. Fiz. Nauk 139 587
36. Hillery M, O'Connell R F, Scully M O and Wigner E P 1984 Phys. Rep. 106 121
37. Cariñena J F, Gracia Bondía J M and Varilly J C 1990 J. Phys. A: Math. Gen. 23 901
38. Gadella M 1995 Fortschr. Phys. 43 229
39. Plebański J F, Przanowski M and Tosiek J 1996 Acta Phys. Polon. B 27 1961
40. Bordemann M, Neumaier N and Waldman S 1999 J. Geom. Phys. 29 199
41. Kay B S 1979 Phys. Rev. D 20 3052
42. Birrell N D and Davis P C W 1982 Quantum Fields in Curved Space (Cambridge: Cambridge University Press)
43. Isham C J 1978 Proc. R. Soc. A 362 383
44. Batalin I A and Fradkin E S 1988 Ann. Inst. Henri Poincaré 49 145
45. Ferrara S and Lledó M A 2000 Some aspects of deformation of supersymmetric field theories Preprint hep-th/0002084
46. Terashima S 2000 A note on superfields and noncommutative geometry Preprint hep-th/0002119
47. Witten E 1986 Nucl. Phys. B 276 291 Crnković C and Witten E 1987 Covariant description of canonical formalism in geometrical theories Three Hundred Years on Gravitation ed S W Hawking and W Israel (Cambridge: Cambridge University Press) p 676
48. Witten E 1986 Nucl. Phys. B 276 291 Crnković C and Witten E 1987 Covariant description of canonical formalism in geometrical theories Three Hundred Years on Gravitation ed S W Hawking and W Israel (Cambridge: Cambridge University Press) p 676
49. Crnković C 1987 Nucl. Phys. B 288 419
50. Crnković C 1988 Class. Quantum Grav. 5 1557