Status report on the instanton counting

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volumn 2, Issue , 2006, Pages

  Shadchin, Sergey ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Instanton counting; Seiberg Witten theory

Indexed keywords

EID: 71849120055     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2006.008     Document Type: Review

References (20)

1. Baulieu L., Singer I.M., Topological Yang-Mills symmetry, Nucl. Phys. B, Proc. Suppl., 1988, V.5, 12-19.
2. Duistermaat J.J., Heckman G.J., On the variation in the cohomology in the symplectic form of the reducedphase space, Invent. Math., 1982, V.69, 259-269.
3. Erlich J., Naqvi A., Randall L., The Coulomb branch of N = 2 supersymmetric product group theoriesfrom branes, Phys. Rev. D, 1998, V.58, 046002, 10 pages; hep-th/9801108.
4. Katz S., Mayr P., Vafa C., Mirror symmetry and exact solution of 4d n = 2 gauge theories. I, Adv. Theor.Math. Phys., 1998, V.1, 53-114; hep-th/9706110.
5. Katz S., Klemm A., Vafa C., Geometric engineering of quantum field theories, Nucl. Phys. B, 1997, V.497, 173-195; hep-th/9609239.
6. Losev A., Marshakov A., Nekrasov N., Small instantons, little strings and free fermions, hep-th/0302191.
7. Mariño M., Wyllard N., A note on instanton counting for N = 2 gauge theories with classical gauge groups, JHEP, 2004, V.0405, paper 021, 23 pages; hep-th/0404125.
8. Nekrasov N., Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys., 2004, V.7, 831-864; hep-th/0206161.
9. Nekrasov N., Okounkov A., Seiberg-Witten theory and random partitions, hep-th/0306238.
10. Nekrasov N., Shadchin S., ABCD of instantons, Comm. Math. Phys., 2004, V.253, 359-391; hep-th/0404225.
11. Seiberg N., Supersymmetry and nonperturbative beta functions, Phys. Lett. B, 1988, V.206, 75-87.
12. Seiberg N., Witten E., Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetricYang-Mills theory, Nucl. Phys. B, 1994, V.426, 19-52; hep-th/9407087.
13. Seiberg N., Witten E., Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B, 1994, V.431, 484-550; hep-th/9408099.
14. Shadchin S., Cubic curves from instanton counting, hep-th/0511132.
15. Shadchin S., On certain aspects of string theory/gauge theory correspondence, PhD Thesis, UniversitéParis-Sud, Orsay, France, 2005; hep-th/0502180.
16. Shadchin S., Saddle point equations in Seiberg-Witten theory, JHEP, 2004, V.0410, paper 033, 38 pages; hep-th/0408066.
17. Witten E., Introduction to topological quantum field theories, Lectures at the Workshop on Topological Methods in Physics, ICTP, Trieste, Italy (June 1990).
18. Witten E., Topological quantum field theory, Comm. Math. Phys., 1988, V.117, 353-386.
19. Witten E., Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B, 1997, V.500, 3-42; hep-th/9703166.
20. Witten E., Donagi R., Supersymmetric Yang-Mills systems and integrable systems, Nucl. Phys. B, 1996, V.460, 299-334; hep-th/9510101.