Computing in string field theory using the Moyal star product

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 6, 2002, Pages

  Matsuo, Yutaka ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COSMOS; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; OSCILLATION;

EID: 3843123481     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.066003     Document Type: Article

References (61)

1. E. Witten, Nucl. Phys. B268, 253 (1986).
2. L. Rastelli, A. Sen, and B. Zwiebach, hep-th/0012251;
3. L. RastelliA. SenB. Zwiebachhep-th/0102112;
4. L. RastelliA. SenB. ZwiebachJ. High Energy Phys. 11, 035 (2001).
5. L. Rastelli, A. Sen, and B. Zwiebach, J. High Energy Phys. 11, 045 (2001).
6. D.J. Gross and W. Taylor, J. High Energy Phys. 08, 009 (2001);
7. J. High Energy Phys.D.J. GrossW. Taylor08, 010 (2001).
8. T. Kawano and K. Okuyama, J. High Energy Phys. 06, 061 (2001).
9. I. Bars, Phys. Lett. B 517, 436 (2001).
10. Y. Matsuo, Phys. Lett. B 513, 195 (2001);
11. Phys. Lett. BY. Matsuo514, 407 (2001);
12. Y. MatsuoMod. Phys. Lett. A 16, 1811 (2001).
13. I. Bars, hep-th/0109132.
14. J. Kluson, J. High Energy Phys. 07, 039 (2001).
15. K. Furuuchi and K. Okuyama, J. High Energy Phys. 09, 035 (2001).
16. H. Hata and T. Kawano, J. High Energy Phys. 11, 038 (2001).
17. I. Kishimoto, J. High Energy Phys. 12, 007 (2001).
18. D. Gaiotto, L. Rastelli, A. Sen, and B. Zwiebach, hep-th/0111129.
19. A. Hashimoto and N. Itzhaki, hep-th/0111092.
20. H. Hata and S. Moriyama, “Observables as twist anomaly in vacuum string field theory,” hep-th/0111034;
21. H. Hata, S. Moriyama, and S. Teraguchi, “Exact results on twist anomaly,” hep-th/0201117.
22. L. Rastelli, A. Sen, and B. Zwiebach, “A note on a proposal for the tachyon state in VSFT,” hep-th/0111153.
23. G. Moore and W. Taylor, “The singular geometry of the sliver,” hep-th/0111069.
24. L. Rastelli, A. Sen, and B. Zwiebach, “Star algebra spectroscopy,” hep-th/0111281.
25. K. Okuyama, “Siegel gauge in vacuum string field theory,” hep-th/0111087;
26. K. Okuyama“Ghost kinetic operator of vacuum string field theory,” hep-th/0201015;
27. K. Okuyama“Ratio of tensions from vacuum string field theory,” hep-th/0201136.
28. K. Furuuchi and K. Okuyama, J. High Energy Phys. 09, 035 (2001).
29. I. Kishimoto and K. Ohmori, “CFT description of identity string field: Toward derivation of the VSFT action,” hep-th/0112169.
30. I.Y. Arefeva, A.A. Giryavets, and P.B. Medvedev, “NS matter sliver,” hep-th/0112214.
31. M. Marino and R. Schiappa, “Towards vacuum superstring field theory: The supersliver,” hep-th/0112231.
32. I. Bars and Y. Matsuo, “Associativity Anomaly in String Field Theory,” hep-th/0202030.
33. M. Douglas, H. Liu, G. Moore, and B. Zwiebach, “Open string star as a continuous Moyal product,” hep-th/0202087.
34. D.M. Belov, “Diagonal representation of open string star and Moyal product,” hep-th/0204164.
35. I.Y. Arefeva and A.A. Giryavets, “Open superstring star as a continuous Moyal product,” hep-th/0204239.
36. D. Gaiotto, L. Rastelli, A. Sen, and B. Zwiebach, “Patterns in string field theory solutions,” hep-th/0201159;
37. D. GaiottoL. RastelliA. SenB. Zwiebach“Star algebra projectors,” hep-th/0202151.
38. R. Potting and J. Raeymaekers, “Ghost sector of vacuum string field theory and the projection equation,” hep-th/0204172.
39. C.S. Chu, P.M. Ho, and F.L. Lin, “Cubic string field theory in (Formula presented)-wave background and background independent Moyal structure,” hep-th/0205218.
40. D.J. Gross and A. Jevicki, Nucl. Phys. B283, 1 (1987);
41. Nucl. Phys.D.J. GrossA. JevickiB287, 225 (1987).
42. S. Giddings, Nucl. Phys. B278, 242 (1986).
43. H.M. Chan, J. Bordes, S.T. Tsou, and L. Nellen, Phys. Rev. D 40, 2620 (1989);
44. J. Bordes, H.M. Chan, L. Nellen, and S.T. Tsou, Nucl. Phys. B351, 441 (1991);
45. J. Bordes, A. Abdurrahman, and F. Anton, Phys. Rev. D 49, 2966 (1994);
46. A. Abdurrahman, F. Anton, and J. Bordes, Nucl. Phys. B411, 693 (1994);
47. A. Abdurrahman and J. Bordes, Phys. Rev. D 58, 086003 (1998).
48. J. Moyal, Proc. Astron. Soc. Aust. 45, 99 (1949).
49. For a recent review and extensive references see M. Douglas and N. Nekrasov, “Noncommutative field theory,” hep-th/0106048.
50. Y. Okawa, “Open string states and D-brane tension from vacuum string field theory,” hep-th/0204012.
51. G.T. Horowitz and A. Strominger, Phys. Lett. B 185, 45 (1987).
52. A. Strominger, Phys. Rev. Lett. 58, 629 (1987);
53. Z. Qiu and A. Strominger, Phys. Rev. D 36, 1794 (1987).
54. A. Strominger, Nucl. Phys. B294, 93 (1987).
55. E. Wigner, Phys. Rev. 40, 749 (1932);
56. for recent studies, see for example T. Curtright, T. Uematsu, and C.K. Zachos, J. Math. Phys. 42, 2396 (2001) and references therein.
57. J.A. Harvey, P. Kraus, and F. Larsen, J. High Energy Phys. 12, 024 (2000).
58. I. Bars, Phys. Rev. D 64, 126001 (2001);
59. I. Bars“2T-physics 2001,” hep-th/0106021.
60. M. Kontsevich, “Deformation quantization of Poisson manifolds, I,” q-alg/9709040.
61. L. Cornalba and R. Schiappa, Commun. Math. Phys. 225, 33 (2002).