Lie-algebraic solutions of the type IIB matrix model

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 84, Issue 10, 2011, Pages

  Chatzistavrakidis, Athanasios ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 82955225244     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.84.106010     Document Type: Article

References (64)

1. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D PRVDAQ 0556-2821 55, 5112 (1997). 10.1103/PhysRevD.55.5112
2. N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, Nucl. Phys. NUPBBO 0550-3213 B498, 467 (1997). 10.1016/S0550-3213(97)00290-3
3. I. Chepelev, Y. Makeenko, and K. Zarembo, Phys. Lett. B 400, 43 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)00323-7
4. A. Fayyazuddin and D.J. Smith, Mod. Phys. Lett. A 12, 1447 (1997). MPLAEQ 0217-7323 10.1142/S0217732397001473
5. A. Fayyazuddin, Y. Makeenko, P. Olesen, D.J. Smith, and K. Zarembo, Nucl. Phys. NUPBBO 0550-3213 B499, 159 (1997). 10.1016/S0550-3213(97)00321-0
6. H. Aoki, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Prog. Theor. Phys. 99, 713 (1998). PTPKAV 0033-068X 10.1143/PTP.99.713
7. H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa, and T. Tada, Nucl. Phys. NUPBBO 0550-3213 B565, 176 (2000). 10.1016/S0550-3213(99)00633-1
8. R.C. Myers, J. High Energy Phys. JHEPFG 1029-8479 12 (1999) 022. 10.1088/1126-6708/1999/12/022
9. S. Iso, Y. Kimura, K. Tanaka, and K. Wakatsuki, Nucl. Phys. NUPBBO 0550-3213 B604, 121 (2001). 10.1016/S0550-3213(01)00173-0 (Pubitemid 33623704)
10. Y. Kimura, Prog. Theor. Phys. 106, 445 (2001). PTPKAV 0033-068X 10.1143/PTP.106.445
11. Y. Kitazawa, Nucl. Phys. NUPBBO 0550-3213 B642, 210 (2002) 10.1016/S0550-3213(02)00682-X
12. T. Azuma, S. Bal, K. Nagao, and J. Nishimura, J. High Energy Phys. JHEPFG 1029-8479 05 (2004) 005. 10.1088/1126-6708/2004/05/005
13. H. Steinacker, Nucl. Phys. NUPBBO 0550-3213 B679, 66 (2004). 10.1016/j.nuclphysb.2003.12.005 (Pubitemid 38092003)
14. H. Steinacker, arXiv:1106.6153.
15. A. Connes, M.R. Douglas, and A.S. Schwarz, J. High Energy Phys. JHEPFG 1029-8479 02 (1998) 003. 10.1088/1126-6708/1998/02/003
16. H. Aoki, S. Iso, and T. Suyama, Nucl. Phys. NUPBBO 0550-3213 B634, 71 (2002). 10.1016/S0550-3213(02)00295-X
17. H. Aoki, Prog. Theor. Phys. 125, 521 (2011). PTPKAV 0033-068X 10.1143/PTP.125.521
18. H. Grosse, F. Lizzi, and H. Steinacker, Phys. Rev. D PRVDAQ 1550-7998 81, 085034 (2010). 10.1103/PhysRevD.81.085034
19. A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, arXiv:1107.0265.
20. P. Aschieri, T. Grammatikopoulos, H. Steinacker, and G. Zoupanos, J. High Energy Phys. JHEPFG 1029-8479 09 (2006) 026. 10.1088/1126-6708/2006/09/026
21. A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, Fortschr. Phys. FPYKA6 0015-8208 58, 537 (2010). 10.1002/prop.201000018
22. A. Chatzistavrakidis, H. Steinacker, and G. Zoupanos, J. High Energy Phys. JHEPFG 1029-8479 05 (2010) 100. 10.1007/JHEP05(2010)100
23. A. Chatzistavrakidis and G. Zoupanos, SIGMA 6, 063 (2010). 1815-0659 10.3842/SIGMA.2010.063
24. A.A. Kehagias, arXiv:hep-th/9406136.
25. G.M. Mubarakzjanov, Izvestiia vysshikh uchebnykh zavedenii Matematika / Ministerstvo vysshego obrazovaniia SSSR IVUMBY 0021-3446 34, 99 (1963).
26. V.V. Morozov, Izvestiia vysshikh uchebnykh zavedenii Matematika / Ministerstvo vysshego obrazovaniia SSSR IVUMBY 0021-3446 4, 161 (1958).
27. J. Patera, R.T. Sharp, P. Winternitz, and H. Zassenhaus, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 17, 986 (1976). 10.1063/1.522992
28. A.A. Kirillov, Russ. Math. Surv. 17, 53 (1962). 0036-0279 10.1070/RM1962v017n04ABEH004118
29. A.I. Mal'cev, AMS Translation No. 39, 1951.
30. J. Scherk and J.H. Schwarz, Nucl. Phys. NUPBBO 0550-3213 B153, 61 (1979). 10.1016/0550-3213(79)90592-3
31. G. Lopes Cardoso, G. Curio, G. Dall'Agata, D. Lust, P. Manousselis, and G. Zoupanos, Nucl. Phys. NUPBBO 0550-3213 B652, 5 (2003). 10.1016/S0550-3213(03) 00049-X (Pubitemid 36224055)
32. G. Dall'Agata and S. Ferrara, Nucl. Phys. NUPBBO 0550-3213 B717, 223 (2005). 10.1016/j.nuclphysb.2005.03.039 (Pubitemid 40714015)
33. C.M. Hull and R.A. Reid-Edwards, Fortschr. Phys. FPYKA6 0015-8208 57, 862 (2009). 10.1002/prop.200900076
34. M. Grana, R. Minasian, M. Petrini, and A. Tomasiello, J. High Energy Phys. JHEPFG 1029-8479 05 (2007) 031. 10.1088/1126-6708/2007/05/031
35. D. Andriot, R. Minasian, and M. Petrini, J. High Energy Phys. JHEPFG 1029-8479 12 (2009) 028. 10.1088/1126-6708/2009/12/028
36. J. Nishimura and F. Sugino, J. High Energy Phys. JHEPFG 1029-8479 05 (2002) 001. 10.1088/1126-6708/2002/05/001
37. H. Kawai, S. Kawamoto, T. Kuroki, and S. Shinohara, Prog. Theor. Phys. 109, 115 (2003). PTPKAV 0033-068X 10.1143/PTP.109.115
38. G.M. Mubarakzjanov, Izvestiia vysshikh uchebnykh zavedenii Matematika / Ministerstvo vysshego obrazovaniia SSSR IVUMBY 0021-3446 35, 104 (1963).
39. P. Turkowski, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 31, 1344 (1990). 10.1063/1.528721
40. A. Connes, Noncommutative Geometry (Academic Press, San Diego, CA, 1994), p. 661.
41. J. Madore, An Introduction to Noncommutative Differential Geometry and Its Physical Applications, Lond. Math. Soc. Lect. Note Ser. Vol. 257 (Cambridge University Press, Cambridge, England, 1999).
42. G. Landi, An Introduction to Noncommutative Spaces and Their Geometry, Lecture Notes in Physics: Monographs m51 (Springer-Verlag, Berlin, 1997).
43. R.J. Szabo, Phys. Rep. PRPLCM 0370-1573 378, 207 (2003). 10.1016/S0370-1573(03)00059-0 (Pubitemid 36412384)
44. A.P. Balachandran, S. Kurkcuoglu, and S. Vaidya, Lectures on Fuzzy and Fuzzy SUSY Physics (World Scientific, Singapore, 2007), p. 191.
45. J. Madore, S. Schraml, P. Schupp, and J. Wess, Eur. Phys. J. C 16, 161 (2000). EPCFFB 1434-6044 10.1007/s100520050012
46. J. Madore, Classical Quantum Gravity CQGRDG 0264-9381 9, 69 (1992). 10.1088/0264-9381/9/1/008
47. S. Ramgoolam, Nucl. Phys. NUPBBO 0550-3213 B610, 461 (2001). 10.1016/S0550-3213(01)00315-7 (Pubitemid 33623762)
48. H. Grosse and A. Strohmaier, Lett. Math. Phys. 48, 163 (1999). LMPHDY 0377-9017 10.1023/A:1007518622795
49. A.P. Balachandran, B.P. Dolan, J.-H. Lee, X. Martin, and D. O'Connor, J. Geom. Phys. 43, 184 (2002). JGPHE5 0393-0440 10.1016/S0393-0440(02)00020-7
50. S.P. Trivedi and S. Vaidya, J. High Energy Phys. JHEPFG 1029-8479 09 (2000) 041. 10.1088/1126-6708/2000/09/041
51. B.P. Dolan and O. Jahn, Int. J. Mod. Phys. A 18, 1935 (2003). IMPAEF 0217-751X 10.1142/S0217751X03014113
52. S. Murray and C. Saemann, Adv. Theor. Math. Phys. 12, 641 (2008). 1095-0761
53. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, Ann. Phys. (N.Y.) APNYA6 0003-4916 111, 61 (1978); 10.1016/0003-4916(78)90224-5
54. F. Bayen M. Flato C. Fronsdal A. Lichnerowicz D. Sternheimer Ann. Phys. (N.Y.) APNYA6 0003-4916 111, 111 (1978). 10.1016/0003-4916(78)90225-7
55. H. Weyl, Z. Phys. 46, 1 (1927). ZEPYAA 0044-3328 10.1007/BF02055756
56. M. Kontsevich, Lett. Math. Phys. 66, 157 (2003). LMPHDY 0377-9017 10.1023/B:MATH.0000027508.00421.bf (Pubitemid 39046309)
57. V. Kathotia, arXiv:math/9811174v2.
58. S. Doplicher, K. Fredenhagen, and J.E. Roberts, Commun. Math. Phys. 172, 187 (1995). CMPHAY 0010-3616 10.1007/BF02104515
59. G.R. Cavalcanti and M. Gualtieri, J. Symplectic Geom. 1527-5256 2, 393 (2004).
60. D. Andriot, E. Goi, R. Minasian, and M. Petrini, J. High Energy Phys. JHEPFG 1029-8479 05 (2011) 028. 10.1007/JHEP05(2011)028
61. M.A. Rieffel, Commun. Math. Phys. CMPHAY 0010-3616 122, 531 (1989). 10.1007/BF01256492
62. J. Shelton, W. Taylor, and B. Wecht, J. High Energy Phys. JHEPFG 1029-8479 10 (2005) 085. 10.1088/1126-6708/2005/10/085
63. B. Wecht, Classical Quantum Gravity 24, S773 (2007). CQGRDG 0264-9381 10.1088/0264-9381/24/21/S03
64. J. Fuchs and C. Schweigert, Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge University Press, Cambridge, England, 1997) p. 438.