ABCD of instantons

Communications in Mathematical Physics

Volumn 252, Issue 1-3, 2004, Pages 359-391

  Nekrasov, Nikita ^a,b   Shadchin, Sergey ^a  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11244337480     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1189-1     Document Type: Article

References (44)

1. Atiyah, M.F., Hitchin, N.J., Drinfeld, V.G., Manin, Yu.I.: Construction of instantons. Phys. Lett. 65A, 185 (1978)
2. Bourbaki, N.: Groupes et algèbres de Lie. Vol. 4, Paris: Masson, 1981
3. Christ, N.H., Weinberg, E.J., Stanton, N.K.: General self-dual Yang-Mills solition. Phys. Rev. D 18(6), 2013 (1978)
4. Corrigan, E., Goddard, P.: Construction of instantons and monopole solutions and reciprocity. Ann. Phys. 154, 253 (1984)
5. c) gauge theories. Nucl. Phys. B489, 179-210 (1997)
6. c) gauge theories. Nucl. Phys. B489, 211 (1997); Agyres, P.C., Shapere, A.D.: The Vacuum Structure of N=2 Super-QCD with Classical Gauge Groups. Nucl. Phys. B461, 437-459 (1996)
7. c) gauge theories. Nucl. Phys. B489, 211 (1997); Agyres, P.C., Shapere, A.D.: The Vacuum Structure of N=2 Super-QCD with Classical Gauge Groups. Nucl. Phys. B461, 437-459 (1996)
8. D'Hoker, E., Phong, D.H.: Lectures on supersymmetric Yang-Mills theory and integrable systems. http://arxiv.org/abs/hep-th/9912271, 1999
9. Dorey, N., Hollowood, T.J., Khoze, V.V., Mattis, M.P.: The calculus of many instatons. Phys. Rept. 371, 231-459 (2002)
10. Dorey, N., Khoze, V.V., Mattis, M.P.: Multi-instaton calculus in N = 2 supersymmetric gauge theory. Phys. Rev. D54, 2921 (1996)
11. Duistermaat, J.J., Heckman, G.J.: On the variation in the cohomology in the symplectic form of the reduced phase space. Invent. Math. 69, 259 (1982) Atiyah, M., Bott, R.: Topology 23(1), 1 (1984)
12. Duistermaat, J.J., Heckman, G.J.: On the variation in the cohomology in the symplectic form of the reduced phase space. Invent. Math. 69, 259 (1982) Atiyah, M., Bott, R.: Topology 23(1), 1 (1984)
13. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
14. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
15. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
16. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
17. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
18. Witten, E.: J. Diff. Geom. 17, 661-692 (1982); Alvarez-Gaumé, L.: Commun. Math. Phys. 90, 161-173 (1983); Windey, P.: Acta Phys. Polon. B15, 435, (1984); Atiyah, M.: Astérisque 2, 43-60 (1985); Morozov, A., Niemi, A., Palo, K.: 377, 295-338 (1992); Baulieu, L., Losev, A., Nekrasov, N.: Nucl. Phys. B522, 82-104 (1998)
19. Innes, I.P., Lozano, C., Naculich, G., Schnitzer, H.J.: Elliptic models and M-theory. Nucl. Phys. B576, 313-346 (2000)
20. Katz, S., Klemm, A., Vafa, C.: Geometric Engineering of Quantum Field Theories. Nucl. Phys. B497, 173-195 (1997)
21. Klemm, A., Lerche, W., Theisen, S., Yankielowisz, S.: Phys. Lett. B344, 169-175 (1995); Argyres, P., Faraggi, A.: Phys. Rev. Lett. 74, 3931-3934 (1995); Hannany, A., Oz, Y.: Nucl. Phys. B452, 283-312 (1995); Gorsky, A., Marshakov, A., Mironov, A., Morozov, A.: Nucl. Phys. B527, 690-716 (1998)
22. Klemm, A., Lerche, W., Theisen, S., Yankielowisz, S.: Phys. Lett. B344, 169-175 (1995); Argyres, P., Faraggi, A.: Phys. Rev. Lett. 74, 3931-3934 (1995); Hannany, A., Oz, Y.: Nucl. Phys. B452, 283-312 (1995); Gorsky, A., Marshakov, A., Mironov, A., Morozov, A.: Nucl. Phys. B527, 690-716 (1998)
23. Klemm, A., Lerche, W., Theisen, S., Yankielowisz, S.: Phys. Lett. B344, 169-175 (1995); Argyres, P., Faraggi, A.: Phys. Rev. Lett. 74, 3931-3934 (1995); Hannany, A., Oz, Y.: Nucl. Phys. B452, 283-312 (1995); Gorsky, A., Marshakov, A., Mironov, A., Morozov, A.: Nucl. Phys. B527, 690-716 (1998)
24. Klemm, A., Lerche, W., Theisen, S., Yankielowisz, S.: Phys. Lett. B344, 169-175 (1995); Argyres, P., Faraggi, A.: Phys. Rev. Lett. 74, 3931-3934 (1995); Hannany, A., Oz, Y.: Nucl. Phys. B452, 283-312 (1995); Gorsky, A., Marshakov, A., Mironov, A., Morozov, A.: Nucl. Phys. B527, 690-716 (1998)
25. Krauth, W., Staudacher, M.: Yang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups. Nucl. Phys. B584, 641-655 (2000) Krauth, W., Staudacher, M.: Finite Yang-Mills integrals. Phys. Lett. B435, 350-355 (1998)
26. Krauth, W., Staudacher, M.: Yang-Mills Integrals for Orthogonal, Symplectic and Exceptional Groups. Nucl. Phys. B584, 641-655 (2000) Krauth, W., Staudacher, M.: Finite Yang-Mills integrals. Phys. Lett. B435, 350-355 (1998)
27. Losev, A., Marshakov, A., Nekrasov, N.: Small instantons, little strings and free fermions. http://arxiv.org/abs/hep-th/0302191, 2003
28. Mariño, M., Wyllard, N.: A note on instanton counting for N = 2 gauge theories with classical gauge groups. JHEP 0405, 021 (2004)
29. Moore, G., Nekrasov, N., Shatashvili, S.: D-particle bound states and generalized instantons. Commun. Math. Phys. 209, 77-95 (2000)
30. Moore, G., Nekrasov, N., Shatashvili, S.: Integrating over Higgs branches. Commun. Math. Phys. 209, 97-121 (2000)
31. Nekrasov, N.: Five Dimensional Gauge Theories and Relativistic Integrable Systems. Nucl. Phys. B531, 323-344 (1998)
32. Nekrasov, N.: Seiberg-Witten prepotential from instanton counting. Adv. Theor. Math. Phys. 7, 831-864 (2004)
33. Nekrasov, N., Okounkov, A.: Seiberg-Witten theory and random partitions. http://arxiv.org/abs/hep-th/0306238, 2003
34. Osborn, H.: Solutions of the Dirac equation for general instanton solutions. Nucl. Phys. B140, 45 (1978)
35. Osborn, H.: Semiclassical functional integrals for selfdual gauge fields. Ann. Phys. 135, 373 (1981)
36. Hitchin, N.J., Karlhede, A., Lindstrom, U., Rocek, M.: Hyperkähler metrics and supersymmetry. Commun. Math. Phys. 108, 535 (1987)
37. Seiberg, N.: Supersymmetry and nonperturbative beta functions. Phys. Lett. 206B, 75 (1988)
38. Seiberg, N., Witten, E.: Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory. Nucl. Phys. B426, 19 (1994)
39. Vainshtein, A.I., Zakharov, V.I., Novikov, V.A., Shifman, M.A.: ABC'S of instantons. Revised and updated version published in ITEP Lectures on Particle Physics and Field theory. Vol. 1 Singapore: World Scientific, 1999, pp. 201-299; Sov. Phys. Usp. 24, 195 (1982)
40. Vainshtein, A.I., Zakharov, V.I., Novikov, V.A., Shifman, M.A.: ABC'S of instantons. Revised and updated version published in ITEP Lectures on Particle Physics and Field theory. Vol. 1 Singapore: World Scientific, 1999, pp. 201-299; Sov. Phys. Usp. 24, 195 (1982)
41. Wess, J., Bagger, J.: Supersymmetry and supergravity. Princeton, NJ: Princeton Univercity Press, 1983
42. Witten, E.: Topological quantum field theory. Commun. Math. Phys. 117, 353 (1988)
43. Witten, E.: Solutions of four-dimensional field theories via M-theory. Nucl. Phys. B500, 3 (1997); Klemm, A., Lerche, W., Mayr, P., Vafa, C., Warner, N.: Self-Dual Strings and N = 2 Supersymmetric Field Theory. Nucl. Phys. B477, 746-766 (1996)
44. Witten, E.: Solutions of four-dimensional field theories via M-theory. Nucl. Phys. B500, 3 (1997); Klemm, A., Lerche, W., Mayr, P., Vafa, C., Warner, N.: Self-Dual Strings and N = 2 Supersymmetric Field Theory. Nucl. Phys. B477, 746-766 (1996)