1/4 BPS states and non-perturbative couplings in N=4 string theories

Advances in Theoretical and Mathematical Physics

Volumn 3, Issue 5, 1999, Pages 1-33

  Lerche, W ^a   Stieberger, S ^a  

^a CERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551480895     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.1999.v3.n5.a7     Document Type: Article

References (68)

1. C. Vafa, A Stringy test of the fate of the conifold, Nucl. Phys. B447 252 (1995)
2. J.A. Harvey and G. Moore, Algebras, BPS states, and strings, Nucl. Phys. B463 315 (1996)
3. 4 terms in N=4 string vacua, Nucl. Phys. Proc. Suppl. 55B 194 (1997)
4. C. Bachas, C. Fabre, E. Kiritsis, N.A. Obers and P. Vanhove, Heterotic / type I duality and D-brane instantons, Nucl. Phys. B509 33 (1998)
5. E. Kiritsis and N.A. Obers, Heterotic type I duality in d < 10-dimensions, thresh-old corrections and D-instantons, JHEP10 004 (1997)
6. W. Lerche and S. Stieberger, Prepotential, mirror map and F theory on K3, Adv. Theor. Math. Phys. 2 1105 (1998)
7. W. Lerche, S. Stieberger and N.P. Warner, Quartic gauge couplings from K3 geometry, Prepotentials from symmetric products
8. R. Gopakumar and C. Vafa, M-theory and topological strings. 1,2
9. E. Kiritsis, Introduction to nonperturbative string theory, Duality and instantons in string theory
10. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories, Nucl. Phys. B405 279 (1993)
11. Kodaira-Spencer theory of gravity and exact results for quantum string am-plitudes, Commun. Math. Phys. 165 311 (1994)
12. D. Ghoshal and C. Vafa, C = 1 string as the topological theory of the conifold, Nucl. Phys. B453 121 (1995)
13. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in string theory, Nucl. Phys. B413 162 (1994)
14. M. Marino and G. Moore, Counting higher genus curves in a Calabi-Yau manifold, Nucl.Phys. B543 592 (1999)
15. J.A. Harvey and G. Moore, Exact gravitational threshold correction in the FHSV model, Phys. Rev. D57 2329 (1998)
16. A. Klemm and E. Zaslow, Local mirror symmetry at higher genus
17. See e.g., Essays on mirror manifolds, (S. Yau, ed.), International Press 1992; Mirror symmetry II, (B. Greene et al, eds.), International Press 1997.
18. J.A. Harvey and G. Moore, Five-brane instantons and R2 couplings in N=4 string theory, Phys. Rev. D57 2323 (1998)
19. A. Gregori, E. Kiritsis, C. Kounnas, N.A. Obers, P.M. Petropoulos and B. Pioline, R2 corrections and nonperturbative dualities of N = 4 string ground states, Nucl. Phys. B510 423 (1998)
20. M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B411 473 (1994)
21. M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B442 47 (1995)
22. M.J. Duff, J.T. Liu and J. Rahmfeld, Four-dimensional string-string-string triality, Nucl. Phys. B459 125 (1996)
23. N. Berkovits and C. Vafa, N=4 topological strings, Nucl. Phys. B433 123 (1995)
24. J. Maldacena, G. Moore and A. Strominger, Counting BPS black holes in toroidal type-II string theory
25. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B379 99 (1996)
26. J.H. Schwarz and A. Sen, Duality symmetries of 4-D heterotic strings, Phys. Lett. B312 105 (1993)
27. S. Ferrara, C. Kounnas and M. Porrati, General Dimensional Reduction Of Ten-Dimensional Supergravity And Superstring, Phys. Lett. 181B 263 (1986).
28. E. Kiritsis and C. Kounnas, Perturbative and nonperturbative partial supersymmetry breaking: N=4 → N=2 → N=1, Nucl. Phys. B503 117 (1997)
29. G. Lopes Cardoso, G. Curio, D. Lüst, T. Mohaupt and S. Rey, BPS spectra and nonperturbative gravitational couplings in N=2, N=4 supersymmetric string theories, Nucl. Phys. B464 18 (1996)
30. L. Girardello, M. Porrati and A. Zaffaroni, Heterotic Type II string duality and the H monopole problem, Int. J. Mod. Phys. A11 4255 (1996)
31. E. Witten, Small instantons in string theory, Nucl. Phys. B460 541 (1996)
32. R. Dijkgraaf, E. Verlinde and H. Verlinde, Counting dyons in N=4 string theory, Nucl. Phys. B484 543 (1997)
33. R. Dijkgraaf, G. Moore, E. Verlinde and H. Verlinde, Elliptic genera of symmetric products and second quantized strings, Commun. Math. Phys. 185 197 (1997)
34. W. Lerche, Elliptic Index And Superstring Effective Actions, Nucl. Phys. B308 102 (1988).
35. W. Lerche, A.N. Schellekens and N.P. Warner, Ghost Triality And Superstring Partition Functions, Phys. Lett. B214 41 (1988)
36. Lattices And Strings, Phys. Rept. 177 1 (1989).
37. A. Schellekens and N. Warner, Anomalies, characters and strings, Nucl. Phys. B287 (1987) 317
38. E. Witten, Elliptic genera and quantum field theory, Commun. Math. Phys. 109 (1987) 525
39. W. Lerche, B.E.W. Nilsson, A.N. Schellekens and N.P. Warner, Nucl. Phys. B299 (1988) 91.
40. J.A. Minahan, One Loop Amplitudes On Orbifolds And The Renormalization Of Coupling Constants, Nucl. Phys. B298 36 (1988)
41. P. Mayr and S. Stieberger, Dilaton, antisymmetric tensor and gauge fields in string effective theories at the one loop level, Nucl. Phys. B412 502 (1994)
42. K. Förger, B.A. Ovrut, S.J. Theisen and D. Waldram, Higher derivative gravity in string theory, Phys. Lett. B388 512 (1996)
43. 2 compactifications, Nucl. Phys. B514 135 (1998)
44. K. Foerger and S. Stieberger, Higher derivative couplings and heterotic type I duality in eight dimensions, Nucl. Phys. B559 (1999) 277
45. F. Gonzalez-Rey, B. Kulik, I.Y. Park and M. Rocek, Selfdual effective action of N=4 superYang-Mills, Nucl. Phys. B544 218 (1999)
46. R. de Mello Koch, A. Paulin-Campbell and J.P. Rodrigues, Nonholomorphic cor-rections from three-branes in F theory
47. T. Kawai, N=2 heterotic string threshold correction, K3 surface and generalized Kac-Moody superalgebra, Phys. Lett. B372 59 (1996), String duality and enumeration of curves by Jacobi forms
48. G. Moore, String duality, automorphic forms, and generalized Kac-Moody alge-bras, Nucl. Phys. Proc. Suppl. 67 56 (1998)
49. H. Ooguri and C. Vafa, Geometry of N=2 strings, Nucl. Phys. B361 (1991) 469
50. S. Ferrara, C. Kounnas, D. Lüst and F. Zwirner, Duality invariant partition func-tions and automorphic superpotentials for (2,2) string compactifications, Nucl. Phys. B365 (1991) 431.
51. J.H. Schwarz, Lectures on superstring and M theory dualities: Given at ICTP Spring School and at TASI Summer School, Nucl. Phys. Proc. Suppl. 55B 1 (1997)
52. A. Sen, String network, JHEP 03 005 (1998)
53. A. Hammou and J. Morales, Fivebrane instantons and higher derivative couplings in type I theory
54. S. Rey, The confining phase of superstrings and axionic strings, Phys. Rev. D43 526 (1991).
55. M.J. Duff and J.X. Lu, Elementary five-brane solutions of D = 10 supergravity, Nucl. Phys. B354 141 (1991).
56. C.G. Callan, J.A. Harvey and A. Strominger, World sheet approach to heterotic instantons and solitons, Nucl. Phys. B359 611 (1991)
57. C.G. Callan, J.A. Harvey and A. Strominger, Worldbrane actions for string solitons, Nucl. Phys. B367 60 (1991).
58. A. Sen, String string duality conjecture in six-dimensions and charged solitonic strings, Nucl. Phys. B450 103 (1995)
59. J.A. Harvey and A. Strominger, The heterotic string is a soliton, Nucl. Phys. B449 535 (1995)
60. A. Sen, Strong-weak coupling duality in four-dimensional string theory, Int. J. Mod. Phys. A9 3707 (1994)
61. M.R. Douglas, Branes within branes
62. M.R. Douglas, Gauge fields and D-branes, J. Geom. Phys. 28 255 (1998)
63. J. Mourad, Anomalies of the SO(32) five-brane and their cancellation, Nucl. Phys. B512 199 (1998)
64. L.J. Dixon, V. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys. B355 649 (1991).
65. D.J. Gross, J.A. Harvey, E. Martinec and R. Rohm, Heterotic string theory (2). The interacting heterotic string, Nucl. Phys. B267 (1986) 75
66. W. Lerche, B.E.W Nilsson, A.N. Schellekens and N.P. Warner, Anomaly can-celling terms from the elliptic genus, Nucl. Phys. B299 (1988) 91
67. J. Ellis, P. Jetzer and L. Mizrachi, One-loop corrections to the effective field theory, Nucl. Phys. B303 (1988) 1.
68. S. Stieberger, (0,2) heterotic gauge couplings and their M-theory origin, Nucl. Phys. B541, 109 (1999)