Residues and world-sheet instantons

Journal of High Energy Physics

Volumn 7, Issue 10, 2003, Pages 1703-1741

  Beasley, Chris ^a   Witten, Edward ^b  

^a PRINCETON UNIVERSITY   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

M Theory; Solitons Monopoles and Instantons; Superstrings and Heterotic Strings

Indexed keywords

EID: 23044479747     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/10/065     Document Type: Article

References (38)

1. M. Dine, N. Seiberg, X.G. Wen and E. Witten, Nonperturbative effects on the string world sheet, Nucl. Phys. B 278 (1986) 769;
2. Nonperturbative effects on the string world sheet, 2, Nucl. Phys. B 289 (1987) 319.
3. J. Distler, Resurrecting (2,0) compactifications, Phys. Lett. B 188 (1987) 431.
4. J. Distler and B. Greene, Aspects of (2,0) string compactifications, Nucl. Phys. B 304 (1988) 1.
5. E. Silverstein and E. Witten, Criteria for conformal invariance of (0,2) models, Nucl. Phys. B 444 (1995) 161 [hep-th/9503212].
6. E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042].
7. J. Distler, Notes on (0,2) superconformal field theories, hep-th/9502012.
8. K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158].
9. E. Witten, World-sheet corrections via d-instantons, J. High Energy Phys. 02 (2000) 030 [hep-th/9907041].
10. J. Polchinski and E. Witten, Evidence for heterotic - type-I string duality, Nucl. Phys. B 460 (1996) 525 [hep-th/9510169].
11. E.I. Buchbinder, R. Donagi and B.A. Ovrut, Superpotentials for vector bundle moduli, Nucl. Phys. B 653 (2003) 400 [hep-th/0205190].
12. E.I. Buchbinder, R. Donagi and B.A. Ovrut, Vector bundle moduli superpotentials in heterotic superstrings and M-theory, J. High Energy Phys. 07 (2002) 066 [hep-th/0206203].
13. P. Griffiths and J. Harris, Principles of algebraic geometry, John Wiley and Sons, Inc., New York 1978.
14. A.K. Tsikh, Multidimensional residues and their applications, Trans. E.J.F. Primrose, American Mathematical Society, Providence, R. I., 1992.
15. A. Basu and S. Sethi, World-sheet stability of (0,2) linear sigma models, Phys. Rev. D 68 (2003) 025003 [hep-th/0303066].
16. J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026.
17. J.B. Carrell and D.I. Lieberman, Holomorphic vector fields and Kaehler manifolds, Invent. Math. 21 (1973) 303.
18. J.B. Carrell and D.I. Lieberman, Vector fields and chern numbers, Math. Ann. 225 (1977) 263.
19. K. Liu, Holomorphic equivariant cohomology, Math. Ann. 303 (1995) 125.
20. E. Witten, Topological quantum field theory, Commun. Math. Phys. 117 (1988) 353.
21. S. Cordes, G.W. Moore and S. Ramgoolam, Lectures on 2-d Yang-Mills theory, equivariant cohomology and topological field theories, Nucl. Phys. 41 (Proc. Suppl.) (1995) 184 [hep-th/9411210].
22. R. Bott and L. W. Tu, Differential forms in algebraic topology, Springer, New York 1982.
23. M. Bershadsky, C. Vafa and V. Sadov, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420 [hep-th/9511222].
24. S.K. Donaldson and R.P. Thomas, Gauge theory in higher dimensions, in The geometric universe: science, geometry, and the work of Roger Penrose, Ed. S. A. Huggett et. al., Oxford University Press, Oxford 1998.
25. E. Witten, Branes and the dynamics of QCD, Nucl. Phys. B 507 (1997) 658 [hep-th/9706109].
26. 2 manifolds, math.DG/0208124.
27. J. Simons, Minimal varieties of riemannian manifolds, Ann. of Math. 88 (1968) 62.
28. H.B. Lawson, Jr., Minimal varieties in real and complex geometry, Séminaire de Mathématiques Supérieures Université de Montréal, Montréal 1974.
29. E. Witten, Topological sigma models, Commun. Math. Phys. 118 (1988) 411.
30. E. Witten, Mirror manifolds and topological field theory, hep-th/9112056.
31. T. Eguchi and S.-K. Yang, N = 2 superconformal models as topological field theories, Mod. Phys. Lett. A 5 (1990) 1693.
32. 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].
33. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in heterotic superstring theory, Nucl. Phys. B 476 (1996) 133 [hep-th/9604077].
34. D.R. Morrison and M. Ronen Plesser, Summing the instantons: quantum cohomology and mirror symmetry in toric varieties, Nucl. Phys. B 440 (1995) 279 [hep-th/9412236].
35. A. Losev, N. Nekrasov and S.L. Shatashvili, The freckled instantons, hep-th/9908204.
36. S. Gukov, Solitons, superpotentials and calibrations, Nucl. Phys. B 574 (2000) 169 [hep-th/9911011].
37. R. Harvey and H. B. Lawson, Calibrated geometries, Acta Math. 148 (1982) 47-157.
38. E. Witten, Supersymmetry and morse theory, J. Diff. Geom. 17 (1982) 661.