Monopoles and strings in non-commutative gauge theory

Journal of High Energy Physics

Volumn 4, Issue 7 PART B, 2000, Pages 1-33

  Gross, David J ^a   Nekrasov, Nikita A ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

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

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Non perturbative Effects; Solitons Monopoles and Instantons; Spontaneous Symmetry Breaking

Indexed keywords

EID: 6944235315     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/07/034     Document Type: Article

References (38)

1. H. S. Snyder, Quantized space-time, Phys. Rev. 71 (1947) 38; The electromagnetic field in quantized space-time, Phys. Rev. 72 (1947) 68
2. H. S. Snyder, Quantized space-time, Phys. Rev. 71 (1947) 38; The electromagnetic field in quantized space-time, Phys. Rev. 72 (1947) 68
3. A. Connes, Noncommutative geometry, Academic Press (1994)
4. 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].
5. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
6. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
7. T. Filk, Divergencies in a field theory on quantum space, Phys. Lett. B 376 (1996) 53
8. S. Minwalla, M.V. Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, hep-th/9912072.
9. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
10. M.V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186].
11. 4 and (2, 0) superconformal six dimensional theory, Comm. Math. Phys. 198 (1998) 689 [hep-th/9802068].
12. 4 and projection operators, hep-th/9912047.
13. 4 and projection operators, hep-th/9912047.
14. K. Hashimoto, H. Hata and S. Moriyama, Brane configuration from monopole solution in non- commutative super Yang-Mills theory, J. High Energy Phys. 12 (1999) 021 [hep-th/9910196]; A. Hashimoto and K. Hashimoto, Monopoles and dyons in non-commutative geometry, J. High Energy Phys. 11 (1999) 005 [hep-th/9909202]; K. Hashimoto and T. Hirayama, Branes and BPS configurations of noncommutative/commutative gauge theories, hep-th/0002090.
15. K. Hashimoto, H. Hata and S. Moriyama, Brane configuration from monopole solution in non- commutative super Yang-Mills theory, J. High Energy Phys. 12 (1999) 021 [hep-th/9910196]; A. Hashimoto and K. Hashimoto, Monopoles and dyons in non-commutative geometry, J. High Energy Phys. 11 (1999) 005 [hep-th/9909202]; K. Hashimoto and T. Hirayama, Branes and BPS configurations of noncommutative/commutative gauge theories, hep-th/0002090.
16. K. Hashimoto, H. Hata and S. Moriyama, Brane configuration from monopole solution in non- commutative super Yang-Mills theory, J. High Energy Phys. 12 (1999) 021 [hep-th/9910196]; A. Hashimoto and K. Hashimoto, Monopoles and dyons in non-commutative geometry, J. High Energy Phys. 11 (1999) 005 [hep-th/9909202]; K. Hashimoto and T. Hirayama, Branes and BPS configurations of noncommutative/commutative gauge theories, hep-th/0002090.
17. L. Jiang, Dirac monopole in non-commutative space, hep-th/0001073.
18. R. Gopakumar, J. Maldacena, S. Minwalla and A. Strominger, S-duality and noncommutative gauge theory, J. High Energy Phys. 06 (2000) 036 [hep-th/0005048]; M.A.M. Gomes, R.R. Landim and C.A.S. Almeida, A superspace gauge-invariant formulation of a massive tridimensional 2-form field, hep-th/0005004.
19. R. Gopakumar, J. Maldacena, S. Minwalla and A. Strominger, S-duality and noncommutative gauge theory, J. High Energy Phys. 06 (2000) 036 [hep-th/0005048]; M.A.M. Gomes, R.R. Landim and C.A.S. Almeida, A superspace gauge-invariant formulation of a massive tridimensional 2-form field, hep-th/0005004.
20. J.A. Harvey, P. Kraus, F. Larsen and E.J. Martinec, D-branes and strings as non-commutative solitons, J. High Energy Phys. 07 (2000) 042 [hep-th/0005031].
21. S. Gukov, LR. Klebanov and A.M. Polyakov, Dynamics of (n, 1) strings, Phys. Lett. B 423 (1998) 64 [hep-th/9711112].
22. N. Seiberg, L. Susskind and N. Toumbas, Strings in background electric field, space/time noncommutativity and a new noncritical string theory, J. High Energy Phys. 06 (2000) 021 [hep-th/0005040].
23. M. Kontsevich, Deformation quantization of poisson manifolds, 1, q-alg/9709040.
24. ∞ algebra, Phys. Lett. B 329 (1994) 15 [hep-th/9403050].
25. ∞ algebra, Phys. Lett. B 329 (1994) 15 [hep-th/9403050].
26. ∞ algebra, Phys. Lett. B 329 (1994) 15 [hep-th/9403050].
27. ∞ algebra, Phys. Lett. B 329 (1994) 15 [hep-th/9403050].
28. I. Bars and D. Minic, Non-commutative geometry on a discrete periodic lattice and gauge theory, hep-th/9910091.
29. W. Nahm, A simple formalism for the BPS monopole, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM method, in Monopoles in quantum field theory, Craigie et al. eds., World Scientific, Singapore 1982; N.J. Hitchin, On the construction of monopoles, Comm. Math. Phys. 89 (1983) 145
30. W. Nahm, A simple formalism for the BPS monopole, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM method, in Monopoles in quantum field theory, Craigie et al. eds., World Scientific, Singapore 1982; N.J. Hitchin, On the construction of monopoles, Comm. Math. Phys. 89 (1983) 145
31. W. Nahm, A simple formalism for the BPS monopole, Phys. Lett. B 90 (1980) 413; The construction of all self-dual multimonopoles by the ADHM method, in Monopoles in quantum field theory, Craigie et al. eds., World Scientific, Singapore 1982; N.J. Hitchin, On the construction of monopoles, Comm. Math. Phys. 89 (1983) 145
32. D.-E. Diaconescu, D-branes, monopoles and nahm equations, Nucl. Phys. B 503 (1997) 220 [hep-th/9608163].
33. D. Bak, Deformed Nahm equation and a noncommutative BPS monopole, Phys. Lett. B 471 (1999) 149 [hep-th/9910135].
34. S. Moriyama, Noncommutative monopole from nonlinear monopole, Phys. Lett. B 485 (2000) 278 [hep-th/0003231].
35. D. Mateos, Non-commutative vs. commutative descriptions of D-brane bions, Nucl. Phys. B 577 (2000) 139 [hep-th/0002020].
36. P. Etingof, I. Gel'fand, V. Retakh, Factorization of differential operators, quasideterminants, and nonabelian Toda field equations, q-alg/9701008.
37. R. Gopakumar, S. Minwalla and A. Strominger, Noncommutative solitons, J. High Energy Phys. 05 (2000) 020 [hep-th/0003160].
38. C.G. Callan Jr. and J.M. Maldacena, Brane dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147].