Wall crossing and instantons in compactified gauge theory

Journal of High Energy Physics

Volumn 2010, Issue 6, 2010, Pages

  Chen, Heng Yu ^a   Dorey, Nick ^b   Petunin, Kirill ^b  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Extended supersymmetry; Integrable equations in physics; Solitons monopoles and instantons; Supersymmetric gauge theory

Indexed keywords

EID: 77955005894     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2010)024     Document Type: Article

References (31)

1. N. Seiberg and E. Witten, Monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19
2. [Erratum ibid. B 430 (1994) 485] [hep-th/9407087]
3. N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099]
4. N. Dorey, T. J. Hollowood, V. V. Khoze and M. P. Mattis, The calculus of many instantons, Phys. Rept. 371 (2002) 231 [hep-th/0206063]
5. D. Finnell and P. Pouliot, Instanton calculations versus exact results in four-dimensional SUSY gauge theories, Nucl. Phys. B 453 (1995) 225 [hep-th/9503115]
6. N. Dorey, V. V. Khoze and M. P. Mattis, Multi-instanton calculus in N = 2 supersymmetric gauge theory, Phys. Rev. D 54 (1996) 2921 [hep-th/9603136]
7. N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161]
8. M. Kontsevich and Y. Soibelman, Stability structures, motivic Donaldson-Thomas invariants and cluster transformations, arXiv: 0811. 2435.
9. M. Kontsevich and Y. Soibelman, Motivic Donaldson-Thomas invariants: summary of results, arXiv: 0910.4315
10. D. Gaiotto, G. W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, arXiv: 0807.4723
11. D. Gaiotto, G. W. Moore and A. Neitzke, Wall-crossing, Hitchin systems and the WKB approximation, arXiv: 0907. 3987
12. A. B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. Scaling three state potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695
13. S. Alexandrov and P. Roche, TBA for non-perturbative moduli spaces, arXiv: 1003.3964
14. N. Dorey, Instantons, compactification and S-duality in N = 4 SUSY Yang-Mills theory. I JHEP 04 (2001) 008 [hep-th/0010115]
15. N. Dorey and A. Parnachev, Instantons, compactification and S-duality in N = 4 SUSY Yang-Mills theory. II, JHEP 08 (2001) 059 [hep-th/0011202]
16. N. Dorey, V. V. Khoze, M. P. Mattis, D. Tong and S. Vandoren, Instantons, three-dimensional gauge theory and the Atiyah-Hitchin manifold, Nucl. Phys. B 502 (1997) 59 [hep-th/9703228]
17. K.-M. Lee and P. Yi, Monopoles and instantons on partially compactified D-branes, Phys. Rev. D 56 (1997) 3711 [hep-th/9702107]
18. N. Seiberg and E. Witten, Gauge dynamics and compactification to three dimensions, hep-th/9607163
19. F. Ferrari and A. Bilal, The strong-coupling spectrum of the Seiberg-Witten theory, Nucl. Phys. B 469 (1996) 387 [hep-th/9602082]
20. N. J. Hitchin, A. Karlhede, U. Lindström and M. Roček, HyperKähler metrics and super symmetry, Commun. Math. Phys. 108 (1987) 535
21. I. T. Ivanov and M. Roček, Super symmetric σ-models, twistors and the Atiyah-Hitchin metric, Commun. Math. Phys. 182 (1996) 291 [hep-th/9512075]
22. H. Ooguri and C. Vafa, Summing up D-instantons, Phys. Rev. Lett. 77 (1996) 3296 [hep-th/9608079]
23. N. Seiberg and S. H. Shenker, Hypermultiplet moduli space and string compactification to three dimensions, Phys. Lett. B 388 (1996) 521 [hep-th/9608086]
24. E. Tomboulis and G. Woo, Soliton quantization in gauge theories, Nucl. Phys. B 107 (1976) 221
25. E. Witten, Dyons of charge e θ/2π, Phys. Lett. B 86 (1979) 283
26. C. W. Bernard, Gauge zero modes, instanton determinants and quantum-chromodynamic calculations, Phys. Rev. D 19 (1979) 3013
27. I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, Academic Press, U. S. A. (2000).
28. N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, JHEP 07 (1999) 021 [hep-th/9906011]
29. R. K. Kaul, Monopole mass in supersymmetric gauge theories, Phys. Lett. B 143 (1984) 427
30. J. P. Gauntlett, Low-energy dynamics of N = 2 supersymmetric monopoles, Nucl. Phys. B 411 (1994) 443 [hep-th/9305068]
31. M. F. Atiyah and N. J. Hitchin, The geometry and dynamics of magnetic monopoles. M. B. Porter lectures, Princeton University Press, Princeton U. S. A. (1988), pag. 133.