Fuzzy algebras of the general Kähler coset space G/S ⊗ U(1)k

Modern Physics Letters A

Volumn 18, Issue 8, 2003, Pages 553-560

  Aoyama, Shogo ^a   Masuda, Takahiro ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

Author keywords

Deformation quantization; Fuzzy space; Noncommutative geometry

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICS; QUANTUM MECHANICS;

EID: 0037436597     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732303009666     Document Type: Article

References (22)

1. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. 55, 5112 (1997); N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997); A. Connes, M. R. Douglas and A. Schwarz, JHEP 9802, 003 (1998); N. Seiberg and E. Witten, ibid. 9909, 032 (1999).
2. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. 55, 5112 (1997); N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997); A. Connes, M. R. Douglas and A. Schwarz, JHEP 9802, 003 (1998); N. Seiberg and E. Witten, ibid. 9909, 032 (1999).
3. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. 55, 5112 (1997); N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997); A. Connes, M. R. Douglas and A. Schwarz, JHEP 9802, 003 (1998); N. Seiberg and E. Witten, ibid. 9909, 032 (1999).
4. T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. 55, 5112 (1997); N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997); A. Connes, M. R. Douglas and A. Schwarz, JHEP 9802, 003 (1998); N. Seiberg and E. Witten, ibid. 9909, 032 (1999).
5. M. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73, 977 (2002).
6. B. V. Fedosov, J. Diff. Geom. 40, 213 (1994); B. V. Fedosov, Deformation Quantization and Index theory, Mathematical Topics, Vol. 9 (Akademie-Verlag, 1996).
7. B. V. Fedosov, J. Diff. Geom. 40, 213 (1994); B. V. Fedosov, Deformation Quantization and Index theory, Mathematical Topics, Vol. 9 (Akademie-Verlag, 1996).
8. S. Aoyama and T. Masuda, Phys. Lett. B514, 385 (2001).
9. S. Aoyama and T. Masuda, Phys. Lett. B521, 376 (2001).
10. J. Bagger and E. Witten, Phys. Lett. B118, 103 (1982).
11. S. Aoyama, Z. Phys. C32, 113 (1986).
12. K. Itoh, T. Kugo and H. Kunitomo, Nucl. Phys. B263, 295 (1986); Prog. Theor. Phys. 75, 386 (1986).
13. K. Itoh, T. Kugo and H. Kunitomo, Nucl. Phys. B263, 295 (1986); Prog. Theor. Phys. 75, 386 (1986).
14. S. Aoyama, Nucl. Phys. B578, 449 (2000).
15. A. Borel, Natl. Acad. Sci. 40, 1147 (1954).
16. A. Y. Alekseev, A. Recknagel and V. Schomerus, JHEP 9909, 023 (1999).
17. M. Kato and T. Okada, Nucl. Phys. B499, 583 (1997); A. Y. Alekseev and V. Schomerus, "D-branes in the WZW model", hep-th/9812193; G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Phys. Rev. D60, 061901 (1999); S. Fredenhagen and V. Schomerus, JHEP 0104, 007 (2001).
18. M. Kato and T. Okada, Nucl. Phys. B499, 583 (1997); A. Y. Alekseev and V. Schomerus, "D-branes in the WZW model", hep-th/9812193; G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Phys. Rev. D60, 061901 (1999); S. Fredenhagen and V. Schomerus, JHEP 0104, 007 (2001).
19. M. Kato and T. Okada, Nucl. Phys. B499, 583 (1997); A. Y. Alekseev and V. Schomerus, "D-branes in the WZW model", hep-th/9812193; G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Phys. Rev. D60, 061901 (1999); S. Fredenhagen and V. Schomerus, JHEP 0104, 007 (2001).
20. M. Kato and T. Okada, Nucl. Phys. B499, 583 (1997); A. Y. Alekseev and V. Schomerus, "D-branes in the WZW model", hep-th/9812193; G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Phys. Rev. D60, 061901 (1999); S. Fredenhagen and V. Schomerus, JHEP 0104, 007 (2001).
21. S. Stanciu, "An illustrated guide to D-branes in SU3", hep-th/0111221.
22. Y. Kitazawa, "Matrix models in homogeneous spaces", hep-th/0207115.