Calculation of the Pontrjagin class for U(1) instantons on non-commutative ℝ4

Journal of High Energy Physics

Volumn 6, Issue 8, 2002, Pages 587-614

  Ishikawa, Tomomi ^a   Kuroki, Shin Ichiro ^a   Sako, Akifumi ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Non Commutative Geometry; Solitons Monopoles and Instantons

Indexed keywords

EID: 23044496292     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

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. Y. Okawa and H. Ooguri, An exact solution to Seiberg- Witten equation of noncommutative gauge theory, Phys. Rev. D 64 (2001) 046009 [hep-th/0104036].
6. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of instantons, Phys. Lett. A 65 (1978) 185.
7. 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.
8. H. Osborn, Solutions of the dirac equation for general instanton solutions, Nucl. Phys. B 140 (1978) 45.
9. 4 and (2,0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
10. 4 and projection operators, Prog. Theor. Phys. 103 (2000) 1043 [hep-th/9912047].
11. N.A. Nekrasov, Noncommutative instantons revisited, hep-th/0010017.
12. 1, Phys. Rev. D 63 (2001) 065017 [hep-th/0008092].
13. C.-S. Chu, V.V. Khoze and G. Travaglini, Notes on noncommutative instantons, Nucl. Phys. B 621 (2002) 101 [hep-th/0108007].
14. 4, hep-th/0003093.
15. 2, Phys. Lett. B 523 (2001) 357 [hep-th/0109121].
16. 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].
17. O. Lechtenfeld and A.D. Popov, Noncommutative't Hooft instantons, J. High Energy Phys. 03 (2002) 040 [hep-th/0109209].
18. P. Kraus and M. Shigemori, Non-commutative instantons and the Seiberg-Witten map, J. High Energy Phys. 06 (2002) 034 [hep-th/0110035].
19. 4, J. High Energy Phys. 11 (2001) 068 [hep-th/0109111].
20. H.W. Braden and N.A. Nekrasov, Space-time foam from non-commutative instantons, hep-th/9912019.
21. N.A. Nekrasov, Trieste lectures on solitons in noncommutative gauge theories, hep-th/0011095.
22. D.J. Gross and N.A. Nekrasov, Solitons in noncommutative gauge theory, J. High Energy Phys. 03 (2001) 044 [hep-th/0010090].
23. 4, Prog. Theor. Phys. Suppl. 144 (2001) 79 [hep-th/0010006].
24. H. Nakajima, Lectures on Hilbert schemes of points on surfaces, AMS University Lecture Series vol. 18 (1999).