Small instantons in string theory

Nuclear Physics B

Volumn 460, Issue 3, 1996, Pages 541-559

  Witten, Edward ^a  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

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EID: 0030580753     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(95)00625-7     Document Type: Article

References (42)

1. [1] E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85.
2. [2] A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 96.
3. [3] B. de Wit, P. Lauwers and A. Van Proeyen, Lagrangians of N = 2 supergravity-matter systems, Nucl. Phys. B 255 (1985) 269.
4. [4] E. Witten, Some comments on string dynamics, hep-lh/9507121.
5. [5] C.G. Callan Jr., J.A. Harvey and A. Strominger, World-brane actions for string solitons, Nucl. Phys. B 367 (1991) 60; Supersymmetric string solitons, in Proc. String Theory And Quantum Gravity '91 (Trieste, 1991).
6. [5] C.G. Callan Jr., J.A. Harvey and A. Strominger, World-brane actions for string solitons, Nucl. Phys. B 367 (1991) 60; Supersymmetric string solitons, in Proc. String Theory And Quantum Gravity '91 (Trieste, 1991).
7. [6] J. Polchinski, Dirichlet-branes and Ramond-Ramond charges, hep-th/9510017.
8. [7] M.F. Atiyah, V.G. Drinfeld, N.J. Hitchin and Y.I. Manin, Construction of instantons, Phys. Lett. A 65 (1978) 185.
9. [8] J. Gauntlett and J.A. Harvey, S-duality and the spectrum of magnetic monopoles in string theory, hep-th/9407111.
10. [9] J.A. Harvey and A. Strominger, The heterotic string is a soliton, Nucl. Phys. B 458 (1996) 456.
11. [10] A. Salam and E. Sezgin. eds., Supergravity in diverse dimensions (North-Holland, Amsterdam, 1989).
12. [11] T. Banks and N. Seiberg, Non-perturbative infinities, Nucl. Phys. B 273 (1986) 157.
13. [12] N.J. Hitchin, A. Karlhede, U. Lindstrom and M. Rocek, Hyperkähler metrics and supersymmetry, Commun. Math. Phys. 108 (1987) 535.
14. [13] S. Kachru and C. Vafa, Exact results for N = 2 compactifications of heterotic strings, Nucl. Phys. B 450 (1995) 69.
15. [14] A. Strominger, Heterotic solitons, Nucl. Phys. B 343 (1990) 167.
16. [15] A. Dabholkar, Ten-dimensional heterotic string as a soliton, Phys. Lett. B 357 (1995) 307.
17. [16] C.M. Hull, String-String duality in ten dimensions, Phys. Lett. B 357 (1995) 545.
18. [17] J. Polchinski and E. Witten, Evidence for heterotic - type I string duality, Nucl. Phys. B 460 (1996) 525, preceding article in this issue.
19. [18] A. Tseytlin, On SO(32) heterotic - type I superstring duality in ten dimensions, hep-th/9510173.
20. [19] J. Polchinski, Combinatorics of boundaries in string theory, Phys. Rev. D 50 (1994) 6041.
21. [20] N. Marcus and A. Sagnotti, Tree level constraints on gauge groups for type-I superstrings, Phys. Lett. B 119 (1982) 97.
22. [21] E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335.
23. [22] E. Corrigan and P. Goddard, Construction of instanton and monopole solutions and reciprocity, Ann. Phys. 154 (1984) 253.
24. [23] N.H. Christ, E.J. Weinberg and N.K. Stanton, General self-dual Yang-Mills solutions, Phys. Rev. D 18 (1978) 2013.
25. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
26. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
27. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
28. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
29. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
30. [24] M.J. Duff and J.X. Lu, Loop expansions and string/fivebrane duality, Nucl. Phys. B 357 (1991) 534; M.J. Duff and R.R. Khuri, Four-dimensional string/string duality, Nucl. Phys. B 411 (1994) 473; M.J. Duff and J.X. Lu, Black and super p-branes in diverse dimensions, Nucl. Phys. B 416 (1994) 301; M.J. Duff and R. Minasian, Pulling string/string duality to the test, Nucl. Phys. B 436 (1995) 507; M.J. Duff, R.R. Khuri and L.X. Lu, String solitons, Phys. Rep. 259 (1995) 213; M.J. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47.
31. [25] A. Sen, String string duality conjecture in six dimensions and charged solitonic strings, Nucl. Phys. B 450 (1995) 103.
32. [26] E. Witten and D. Olive, Supersymmetry algebras that include central charges, Phys. Lett. B 78 (1978) 97.
33. [27] 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.
34. [28] A. Dabholkar and J.A. Harvey, Non-renormalization of the superstring tension, Phys. Rev. Lett. 63 (1989) 478.
35. [29] A.N. Schellekens and N.P. Warner, Anomalies and modular invariance in string theory, Phys. Lett. B 177 (1986) 317; Anomaly cancellation and self-dual lattices, Phys. Lett. B 181 (1986) 339; Anomalies, characters and strings, Nucl. Phys, B 287 (1987) 317.
36. [29] A.N. Schellekens and N.P. Warner, Anomalies and modular invariance in string theory, Phys. Lett. B 177 (1986) 317; Anomaly cancellation and self-dual lattices, Phys. Lett. B 181 (1986) 339; Anomalies, characters and strings, Nucl. Phys, B 287 (1987) 317.
37. [29] A.N. Schellekens and N.P. Warner, Anomalies and modular invariance in string theory, Phys. Lett. B 177 (1986) 317; Anomaly cancellation and self-dual lattices, Phys. Lett. B 181 (1986) 339; Anomalies, characters and strings, Nucl. Phys, B 287 (1987) 317.
38. [30] E. Witten, Elliptic genera and quantum field theory, Commun. Math. Phys. 109 (1987) 525; The index of the Dirac operator in loop space, in Elliptic curves and modular forms in algebraic topology, ed. P. Landwebber (Springer, Berlin, 1988).
39. [30] E. Witten, Elliptic genera and quantum field theory, Commun. Math. Phys. 109 (1987) 525; The index of the Dirac operator in loop space, in Elliptic curves and modular forms in algebraic topology, ed. P. Landwebber (Springer, Berlin, 1988).
40. [31] W. Lerche, Elliptic index and superstring effective action, Nucl. Phys. B 308 (1988) 102.
41. [32] T. Eguchi, H. Ooguri, A. Taormina and S.K. Yang, Superconformal algebras and string compactification on manifolds with SU (n) holonomy, Nucl. Phys. B 315 (1989) 193.
42. [33] A. Sen and J.H. Schwarz, Duality symmetries of 4-D heterotic strings, Phys. Lett. B 312 (1993) 105.