Noncommutative Instantons Revisited

Communications in Mathematical Physics

Volumn 241, Issue 1, 2003, Pages 143-160

  Nekrasov, Nikita A ^a,b,c  

^a INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^b PRINCETON UNIVERSITY   (United States)

^c INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142168484     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0911-8     Document Type: Article

References (47)

1. Snyder, H.S.: Quantized Space-Time. Phys. Rev. 71, 38 (1947); Snyder, H.S.: The Electromagnetic Field in Quantized Space-Time. Phys. Rev. 72, 68 (1947)
2. Snyder, H.S.: Quantized Space-Time. Phys. Rev. 71, 38 (1947); Snyder, H.S.: The Electromagnetic Field in Quantized Space-Time. Phys. Rev. 72, 68 (1947)
3. Connes, A.: Noncommutative geometry. London: Academic Press, 1994
4. Gonzalez-Arroyo, A., Korthals Altes, C.P.: Reduced model for large N continuum field theories. Phys. Lett. 131B, 396(1983)
5. Filk, T.: Divergencies in a Field Theory on Quantum Space. Phys. Lett. 376B, 53 (1996)
6. Connes, A., Douglas, M., Schwarz, A.: JHEP 9802, 003 (1998)
7. Douglas, M., Hull, C.: D-branes and the Noncommutative Torus. hep-th/9711165, JHEP 9802, 008 (1998)
8. Kontsevich, M.: Deformation quantization of Poisson manifolds, q-alg/9709040
9. Cattaneo, A., Felder, G.: A Path Integral Approach to the Konstevich Quantization Formula. math.QA/9902090
10. Witten, E.: Nucl. Phys. B268, 253 (1986)
11. Schomerus, V.: D-Branes and Deformation Quantization. JHEP 9906, 030 (1999)
12. Nekrasov, N., Schwarz, A.S.: hep-th/9802068 Commun. Math. Phys. 198, 689 (1998)
13. Losev, A., Moore, G., Nekrasov, N., Shatashvili, S.: Four dimensional avatars of two dimensional RCFT. hep-th/9509151, Nucl. Phys. Proc. Suppl. 46, 130-145 (1996)
14. Harvey, J.A., Moore, G.: Algebras, BPS States, and Strings, hep-th/9510182, Nucl. Phys. B463, 315-368 (1996)
15. Losev, A., Nekrasov, N., Shatashvili, S.: The Freckled Instantons. In: The many faces of the superworld: Yuri golfand memorial volume, Ed. by M. Shifman, River Edge, NJ: World Scientific, 2000
16. Hitchin, N.J., Karlhede, A., Lindstrom, U., Rocek, M.: Commun. Math. Phys. 108, 535 (1987)
17. Callan, C.G., Jr., Maldacena, J.M.: Nucl. Phys. B513, 198-212 (1998) hep-th/9708147
18. Bak, D.: Phys. Lett. 47, 149-154 (1999) hep-th/9910135
19. Moriyama, S.: hep-th/0003231
20. Mateos, D.: Noncommutative vs. commutative descriptions of D-brane Blons. hep-th/0002020
21. Gopakumar, R., Minwala, S., Strominger, A.: hep-th/0003160, JHEP 0005, 020 (2000)
22. Losev, A., Moore, G., Shatashvili, S.: M&m's. hep-th/9707250 Nucl. Phys. B522, 105-124 (1998)
23. Ho, P.-M.:hep-th/0003012
24. Gross, D., Nekrasov, N.: Monopoles and strings in noncommutative gauge theory. hep-th/9905204
25. Polychronakos, A.P.: Flux tube solutions in noncommutative gauge theories. hep-th/0007043
26. Gross, D., Nekrasov, N.: Dynamics of strings in noncommutative gaue theory. hep-th/9907204
27. Gross, D., Nekrasov, N.: Solitons in noncommutative gauge theories. To appear
28. Corrigan, E., Goddard, P.: Construction of instanton and monopole solutions and reciprocity. Ann. Phys. 154, 253 (1984)
29. Aganagic, M., Gopakumar, R., Minwalla, S., Strominger, A.: Unstable Solitons in Noncommutative Gauge Theory. hep-th/0009142
30. Donaldson, S.K.: Instantons and Geometric Invariant Theory. Commun. Math. Phys. 93, 453-460 (1984)
31. Nakajima, H.: Lectures on Hubert Schemes of Points on Surfaces. AMS University Lecture Series, Providence, RI: Aus, 1999, ISBN 0-8218-1956-9
32. Braden, H., Nekrasov, N.: hep-th/9912019
33. Furuuchi, K.: hep-th/9912047
34. Furuuchi, K.: hep-th/0010006
35. Aharony, O., Berkooz, M., Seiberg, N.: hep-th/9712117,Adv. Theor. Math. Phys. 2, 119-153 (1998)
36. Aharony, O., Berkooz, M., Kachru, S., Seiberg, N., Silverstein, E.: hep-th/9707079, Adv. Theor. Math. Phys. 1, 148-157 (1998)
37. Seiberg, N., Witten, E.: hep-th/9908142, JHEP 9909, 032 (1999)
38. Strominger, A., Vafa, C.: Microscopic Origin of the Bekenstein-Hawking Entropy, hep-th/9601029, Phys. Lett. 379, 99-104 (1996)
39. Vafa, C., Witten, E.: A Strong Coupling Test of S-Duality. hep-th/9408074, Nucl. Phys. B431, 3-77 (1994)
40. Teo, E., Ting, C.: Monopoles, vortices and kinks in the framework of noncommutative geometry. Phys. Rev. D56, 2291-2302 (1997), hep-th/9706101
41. Diaconescu, D.-E.: Nucl. Phys. B503, 220-238 (1997) hep-th/9608163
42. Terashima, S.: Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory. hep-th/9911245, Phys. Lett. 477B, 292-298 (2000)
43. Jiang, L.: Dirac Monopole in Non-Commutative Space. hep-th/0001073
44. Hashimoto, K., Hata, H., Moriyama, S.: hep-th/9910196, JHEP 9912, 021 (1999); Hashimoto, A., Hashimoto, K.: hep-th/9909202, JHEP 9911, 005 (1999) Hashimoto, K., Hirayama, T.: hep-th/0002090
45. Hashimoto, K., Hata, H., Moriyama, S.: hep-th/9910196, JHEP 9912, 021 (1999); Hashimoto, A., Hashimoto, K.: hep-th/9909202, JHEP 9911, 005 (1999) Hashimoto, K., Hirayama, T.: hep-th/0002090
46. Hashimoto, K., Hata, H., Moriyama, S.: hep-th/9910196, JHEP 9912, 021 (1999); Hashimoto, A., Hashimoto, K.: hep-th/9909202, JHEP 9911, 005 (1999) Hashimoto, K., Hirayama, T.: hep-th/0002090
47. Harvey, J., Kraus, P., Larsen, F., Martinec, E.: hep-th/0005031