Instanton number of noncommutative U(n) gauge theory

Journal of High Energy Physics

Volumn 7, Issue 4, 2003, Pages 489-515

  Sako, Akifumi ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Differential and Algebraic Geometry; Non Commutative Geometry; Solitons Monopoles and Instantons

Indexed keywords

EID: 23044443634     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/04/023     Document Type: Article

References (33)

1. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
2. M.R. Douglas and C.M. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
3. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
4. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory, Rev. Mod. Phys. 73 (2001) 977 [hep-th/0106048].
5. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction Of Instantons, Phys. Lett. A 65 (1978) 185.
6. E. Corrigan, D.B. Fairlie, S. Templeton and P. Goddard, A green's function for the general selfdual gauge field, Nucl. Phys. B 140 (1978) 31.
7. H. Osborn, Solutions of the dirac equation for general instanton solutions, Nucl. Phys. B 140 (1978) 45.
8. 4 and (2, 0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
9. H. Nakajima, Lectures on Hilbert schemes of points on surfaces, University lecture series 18, AMS, Providence 1999.
10. 4, J. High Energy Phys. 11 (2001) 068 [hep-th/0109111].
11. H.W. Braden and N.A. Nekrasov, Space-time foam from non-commutative instantons, hep-th/9912019.
12. K.-Y. Kim, B.-H. Lee and H.S. Yang, Zero-modes and Atiyah-Singer index in noncommutative instantons, Phys. Rev. D 66 (2002) 025034 [hep-th/0205010].
13. 4 and projection operators, Prog. Theor. Phys. 103 (2000) 1043 [hep-th/9912047].
14. D.J. Gross and N.A. Nekrasov, Solitons in noncommutative gauge theory, J. High Energy Phys. 03 (2001) 044 [hep-th/0010090].
15. N.A. Nekrasov, Noncommutative instantons revisited, hep-th/0010017.
16. N.A. Nekrasov, Trieste lectures on solitons in noncommutative gauge theories, hep-th/0011095.
17. 3 × 1, Phys. Rev. D 63 (2001) 065017 [hep-th/0008092].
18. C.-S. Chu, V.V. Khoze and G. Travaglini, Notes on noncommutative instantons, Nucl. Phys. B 621 (2002) 101 [hep-th/0108007].
19. 4, J. Korean Phys. Soc. 41 (2002) 290-297 [hep-th/0003093].
20. 2C, Phys. Lett. B 523 (2001) 357 [hep-th/0109121].
21. D.H. Correa, G.S. Lozano, E.F. Moreno and F.A. Schaposnik, Comments on the U(2) noncommutative instanton, Phys. Lett. B 515 (2001) 206 [hep-th/0105085].
22. O. Lechtenfeld and A.D. Popov, Noncommutative't Hooft instantons, J. High Energy Phys. 03 (2002) 040 [hep-th/0109209].
23. P. Kraus and M. Shigemori, Non-commutative instantons and the Seiberg-Witten map, J. High Energy Phys. 06 (2002) 034 [hep-th/0110035].
24. E. Kiritsis and C. Sochichiu, Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map, hep-th/0202065.
25. 4, Prog. Theor. Phys. Suppl. 144 (2001) 79 [hep-th/0010006].
26. K. Furuuchi, Equivalence of projections as gauge equivalence on noncommutative space, Commun. Math. Phys. 217 (2001) 579 [hep-th/0005199].
27. 4, J. High Energy Phys. 08 (2002) 028 [hep-th/0201196].
28. A. Connes, Noncommutative geometry, Academic Press, San Diego, 1994.
29. T. Ishikawa, S.-I. Kuroki and A. Sako, Noncommutative cohomological field theory and GMS soliton, J. Math. Phys. 43 (2002) 872 [hep-th/0107033].
30. A. Sako, S-I. Kuroki and T. Ishikawa, Noncommutative-shift invariant field theory, proceeding of 10th Tohwa International Symposium on String Theory, published in Fukuoka 2001.
31. Y. Tian, C.-J. Zhu and X.-C. Song, Topological charge of noncommutative adhm instanton, hep-th/0211225.
32. K. Furuuchi, Dp-D(p - 4) in noncommutative Yang-Mills, J. High Energy Phys. 03 (2001) 033 [hep-th/0010119].
33. M. Hamanaka, Adhm/nahm construction of localized solitons in noncommutative gauge theories, Phys. Rev. D 65 (2002) 085022 [hep-th/0109070].