Giant graviton and quantum stability in the matrix model on a pp-wave background

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 8, 2002, Pages 850221-850229

  Sugiyama, Katsuyuki ^a   Yoshida, Kentaroh ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; GRAVITY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; OSCILLATION; QUANTUM MECHANICS;

EID: 17044447172     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.085022     Document Type: Article

References (32)

1. J. Kowalski-Glikman, Phys. Lett. 134B, 194 (1984).
2. J. Figueroa-O'Farrill and G. Papadopoulos, J. High Energy Phys. 08, 036 (2001).
3. M. Blau, J. Figueroa-O'Farrill, C. Hall, and G. Papadopoulos, J. High Energy Phys. 01, 047 (2001); Class. Quantum Grav. 19, L87 (2002).
4. M. Blau, J. Figueroa-O'Farrill, C. Hall, and G. Papadopoulos, J. High Energy Phys. 01, 047 (2001); Class. Quantum Grav. 19, L87 (2002).
5. R.R. Metsaev, Nucl. Phys. B625, 70 (2002).
6. R.R. Metsaev and A.A. Tseytlin, Phys. Rev. D 65, 126004 (2002).
7. J.G. Russo and A.A. Tseytlin, J. High Energy Phys. 04, 021 (2002).
8. R. Penrose, Differential Geometry and Relativity (Reidel, Dordrecht, 1976), pp. 271-275.
9. R. Güven, Phys. Lett. B 482, 255 (2000).
10. D. Berenstein, J. Maldacena, and H. Nastase, J. High Energy Phys. 04, 013 (2002).
11. T. Banks, W. Fischler, S.H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997).
12. B. de Wit, M. Lüscher, and H. Nicolai, Nucl. Phys. B320, 135 (1989).
13. K. Dasgupta, M.M. Sheikh-Jabbari, and M. Van Raamsdonk, J. High Energy Phys. 05, 056 (2002).
14. K. Sugiyama and K. Yoshida, "Supermembrane on the pp-wave background," hep-th/0206070.
15. K. Sugiyama and K. Yoshida, "BPS conditions of supermembrane on the pp-wave," hep-th/0206132.
16. T. Banks, N. Seiberg, and S. Shenker, Nucl. Phys. B490, 91 (1997).
17. N. Kim and J. Plefka, "On the spectrum of pp-wave matrix theory," hep-th/0207034; K. Dasgupta, M.M. Sheikh-Jabbari, and M. Van Raamsdonk, "Protected multiplets of M-theory on a plane wave," hep-th/0207050; N. Kim and J-H. Park, "Superalgebra for M-theory on a pp-wave," hep-th/0207061.
18. N. Kim and J. Plefka, "On the spectrum of pp-wave matrix theory," hep-th/0207034; K. Dasgupta, M.M. Sheikh-Jabbari, and M. Van Raamsdonk, "Protected multiplets of M-theory on a plane wave," hep-th/0207050; N. Kim and J-H. Park, "Superalgebra for M-theory on a pp-wave," hep-th/0207061.
19. N. Kim and J. Plefka, "On the spectrum of pp-wave matrix theory," hep-th/0207034; K. Dasgupta, M.M. Sheikh-Jabbari, and M. Van Raamsdonk, "Protected multiplets of M-theory on a plane wave," hep-th/0207050; N. Kim and J-H. Park, "Superalgebra for M-theory on a pp-wave," hep-th/0207061.
20. The covariant approach is also discussed in Ref. [18].
21. M. Hatsuda and M. Sakaguchi, Phys. Rev. D 66, 045020 (2002); M. Hatsuda, K. Kamimura, and M. Sakaguchi, "Gauge invariant action for superstring in Ramond-Ramond planewave background," hep-th/0207157.
22. M. Hatsuda and M. Sakaguchi, Phys. Rev. D 66, 045020 (2002); M. Hatsuda, K. Kamimura, and M. Sakaguchi, "Gauge invariant action for superstring in Ramond-Ramond planewave background," hep-th/0207157.
23. Other several interesting solutions have been reported in [20], though we will not consider them in this paper.
24. 4 background," hep-th/0206237.
25. 4 background," hep-th/0206237.
26. 4 background," hep-th/0206237.
27. R.C. Myers, J. High Energy Phys. 12, 022 (1999).
28. In fact, we have discussed supermembranes in our previous works [13,14].
29. In this section we use the action (1).
30. In the case of the usual type IIB matrix model, the fuzzy sphere background has been discussed in [25].
31. S. Iso, Y. Kimura, K. Tanaka, and K. Wakatsuki, Nucl. Phys. B604, 121 (2001).
32. We consider the case that μ is positive since we can impose this condition without the loss of generality.