Matone's relation in the presence of gravitational couplings

Journal of High Energy Physics

Volumn 8, Issue 4, 2004, Pages 177-194

  Flume, Rainald ^a   Fucito, Francesco ^b   Morales, José F ^c   Poghossian, Rubik ^d  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^d YEREVAN PHYSICS INSTITUTE   (Armenia)

Author keywords

Nonperturbative Effects; Solitons Monopoles and Instantons; Topological Field Theories

Indexed keywords

EID: 23044494814     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/04/008     Document Type: Article

References (36)

1. M. Matone, Instantons and recursion relations in N = 2 SUSY gauge theory, Phys. Lett. B 357 (1995) 342 [hep-th/9506102].
2. J. Sonnenschein, S. Theisen and S. Yankielowicz, On the relation between the holomorphic prepotential and the quantum moduli in SUSY gauge theories, Phys. Lett. B 367 (1996) 145 [hep-th/9510129].
3. P.S. Howe and P.C. West, Superconformal ward identities and N = 2 Yang-Mills theory, Nucl. Phys. B 486 (1997) 425 [hep-th/9607239].
4. N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087];
5. Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
6. T. Eguchi and S.K. Yang, Prepotentials of N = 2 supersymmetric gauge theories and soliton equations, Mod. Phys. Lett. A 11 (1996) 131 [hep-th/9510183 ];
7. I.M. Krichever and D.H. Phong, On the integrable geometry of soliton equations and N = 2 supersymmetric gauge theories, J. Diff. Geom. 45 (1997) 349 [hep-th/9604199];
8. c) gauge theories, Nucl. Phys. B 489 (1997) 179 [hep-th/9609041];
9. G. Chan and E. D'Hoker, Instanton recursion relations for the effective prepotential in N = 2 super Yang-Mills, Nucl. Phys. B 564 (2000) 503 [hep-th/9906193];
10. J.D. Edelstein, M. Marino and J. Mas, Whitham hierarchies, instanton corrections and soft supersymmetry breaking in N = 2 SU(N) super Yang-Mills theory, Nucl. Phys. B 541 (1999) 671 [hep-th/9805172];
11. Instanton corrections in N = 2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets, Nucl. Phys. B 561 (1999) 273 [hep-th/9904087];
12. J.D. Edelstein, M. Gomez-Reino, M. Marino and J. Mas, N = 2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy, Nucl. Phys. B 574 (2000) 587 [hep-th/9911115].
13. F. Cachazo, M.R. Douglas, N. Seiberg and E. Witten, Chiral rings and anomalies in supersymmetric gauge theory, J. High Energy Phys. 12 (2002) 071 [hep-th/0211170].
14. F. Fucito and G. Travaglini, Instanton calculus and nonperturbative relations in N = 2 supersymmetric gauge theories, Phys. Rev. D 55 (1997) 1099 [hep-th/9605215].
15. 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].
16. N. Berline, E. Getzler and M. Vergne, Heat kernels and Dirac operators, Springer, Berlin, Germany 1996.
17. D. Bellisai, F. Fucito, A. Tanzini and G. Travaglini, Multi-instantons, supersymmetry and topological field theories, Phys. Lett. B 480 (2000) 365 [hep-th/0002110];
18. Instanton calculus, topological field theories and N = 2 super Yang-Mills theories, J. High Energy Phys. 07 (2000) 017 [hep-th/0003272].
19. R. Flume, R. Poghossian and H. Storch, The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons, Mod. Phys. Lett. A 17 (2002) 327 [hep-th/0112211].
20. T. J. Hollowood, Calculating the prepotential by localization on the moduli space of instantons, J. High Energy Phys. 03 (2002) 038 [hep-th/0201075].
21. N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, hep-th/0206161.
22. 4 and (2,0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
23. 4, in Topology, geometry and field theory, World Scientific, Singapore 1994, p. 129.
24. M. Atiyah and R. Bott, The moment map and equivariant cohomology, Topology 23 (1984) 1.
25. U. Bruzzo, F. Fucito, J.F. Morales and A. Tanzini, Multi-instanton calculus and equivariant cohomology, J. High Energy Phys. 05 (2003) 054 [hep-th/0211108].
26. U. Bruzzo and F. Fucito, Superlocalization formulas and supersymmetric Yang-Mills theories, Nucl. Phys. B 678 (2004) 638 [math.ph/0310036].
27. R. Flume and R. Poghossian, An algorithm for the microscopic evaluation of the coefficients of the Seiberg-Witten prepotential, Int. J. Mod. Phys. A 18 (2003) 2541 [hep-th/0208176].
28. N. Dorey, V.V. Khoze and M.P. Mattis, Multi-instanton check of the relation between the prepotential F and the modulus u in N = 2 SUSY Yang-Mills theory, Phys. Lett. B 390 (1997) 205 [hep-th/9606199].
29. A.S. Losev, A. Marshakov and N.A. Nekrasov, Small instantons, little strings and free fermions, hep-th/0302191.
30. 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].
31. 4 and projection operators, Prog. Theor. Phys. 103 (2000) 1043 [hep-th/9912047].
32. C.S. Chu, V.V. Khoze and G. Travaglini, Notes on noncommutative instantons, Nucl. Phys. B 621 (2002) 101 [hep-th/0108007].
33. H. Nakajima, Lectures on Hilbert schemes of points on surfaces, American Mathematical Society, University Lectures Series, v. 18 (1999).
34. J.R. David, E. Gava and K.S. Narain, Konishi anomaly approach to gravitational F-terms, J. High Energy Phys. 09 (2003) 043 [hep-th/0304227];
35. L.F. Alday, M. Cirafici, J.R. David, E. Gava and K.S. Narain, Gravitational F-terms through anomaly equations and deformed chiral rings, J. High Energy Phys. 01 (2004) 001 [hep-th/0305217].
36. A. Klemm, M. Marino and S. Theisen, Gravitational corrections in supersymmetric gauge theory and matrix models, J. High Energy Phys. 03 (2003) 051 [hep-th/0211216].