Five-dimensional Chern-Simons terms and Nekrasov's instanton counting

Journal of High Energy Physics

Volumn 8, Issue 2, 2004, Pages 1255-1267

  Tachikawa, Yuji ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Anomalies in Field and String Theories; Extended Supersymmetry; Field Theories in Higher Dimensions; Topological Field Theories

Indexed keywords

EID: 21444437911     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/02/050     Document Type: Article

References (27)

1. E. Witten, Topological quantum field theory, Commun. Math. Phys. 117 (1988) 353.
2. A. Losev, N. Nekrasov and S.L. Shatashvili, Issues in topological gauge theory, Nucl. Phys. B 534 (1998) 549 [hep-th/9711108].
3. G.W. Moore, N. Nekrasov and S. Shatashvili, Integrating over Higgs branches, Commun. Math. Phys. 209 (2000) 97 [hep-th/9712241].
4. G.W. Moore, N. Nekrasov and S. Shatashvili, D-particle bound states and generalized instantons, Commun. Math. Phys. 209 (2000) 77 [hep-th/9803265].
5. 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].
6. T.J. Hollowood, Calculating the prepotential by localization on the moduli space of instantons, J. High Energy Phys. 03 (2002) 038 [hep-th/0201075].
7. T.J. Hollowood, Testing Seiberg-Witten theory to all orders in the instanton expansion, Nucl. Phys. B 639 (2002) 66 [hep-th/0202197].
8. N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, hep-th/0206161.
9. N. Nekrasov and A. Okounkov, Seiberg-Witten theory and random partitions, hep-th/0306238.
10. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311 [hep-th/9309140].
11. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in string theory, Nucl. Phys. B 413 (1994) 162 [hep-th/9307158].
12. A. Iqbal and A.K. Kashani-Poor, Instanton counting and Chern-Simons theory, hep-th/0212279.
13. A. Iqbal and A.K. Kashani-Poor, SU(n) geometries and topological string amplitudes, hep-th/0306032.
14. T. Eguchi and H. Kanno, Topological strings and Nekrasov's formulas, J. High Energy Phys. 12 (2003) 006 [hep-th/0310235].
15. T. Eguchi and H. Kanno, Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes, hep-th/0312234.
16. 4 and (2, 0) superconformal six dimensional theory, Commun. Math. Phys. 198 (1998) 689 [hep-th/9802068].
17. H. Nakajima and K. Yoshioka, Instanton counting on blowup, I, math.ag/0306198.
18. N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111].
19. K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198].
20. M.W. Goodman, Proof of character valued index theorems, Commun. Math. Phys. 107 (1986) 391.
21. L. Alvarez-Gaumé and P. Ginsparg, The topological meaning of nonabelian anomalies, Nucl. Phys. B 243 (1984) 449.
22. 4, Phys. Lett. B 479 (2000) 321 [hep-th/0002171].
23. L. Bonora, M. Schnabl and A. Tomasiello, A note on consistent anomalies in noncommutative YM theories, Phys. Lett. B 485 (2000) 311 [hep-th/0002210].
24. K.Y. Kim, B.H. Lee and H.S. Yang, Zero-modes and Atiyah-Singer index in noncommutative instantons, Phys. Rev. D 66 (2002) 025034 [hep-th/0205010].
25. R. Gopakumar and C. Vafa, M-theory and topological strings, I, hep-th/9809187.
26. R. Gopakumar and C. Vafa, M-theory and topological strings, II, hep-th/9812127.
27. H. Nakajima, Lectures on Hilbert schemes of points on surfaces, 1999, AMS.