Enhanced gauge symmetry in type II string theory

Nuclear Physics B

Volumn 477, Issue 1, 1996, Pages 105-140

  Katz, Sheldon ^a   Morrison, David R ^b   Plesser, M Ronen ^c  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b DUKE UNIVERSITY   (United States)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

Nonperturbative effects in string theory; Supersymmetric Higgs mechanism; Type II string

Indexed keywords

EID: 0030573954     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00331-8     Document Type: Article

References (67)

1. [1] C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109-137 [hep-th/9410167].
2. [2] A. Ceresole, R. D'Auria, S. Ferrara and A. Van Proyen, Duality transformations in supersymmetric Yang-Mills theories coupled to supergravity, Nucl. Phys. B 444 (1995) 92 [hep-th/9502072].
3. [3] E. Witten, String theory dynamics in various dimensions, Nucl. Phys. B 443 (1995) 85 [hep-th/9503124].
4. [4] J.A. Harvey and A. Strominger, The heterotic string is a soliton, Nucl. Phys. B 449 (1995) 535 [hep-th/9504047].
5. [5] P.S. Aspinwall, Enhanced gauge symmetries and K3 surfaces, Phys. Lett. B 357 (1995) 329 [hep-th/9507012].
6. [6] E. Witten, Some comments on string dynamics, Proc. Strings '95 [hep-th/9507121].
7. [7] D. Kutasov, Orbifolds and solitons [hep-th/9512145].
8. [8] S. Kachru and C. Vafa, Exact results for N = 2 compactifications of heterotic strings, Nucl. Phys. B 450 (1995) 69 [hep-th/9505105].
9. [9] S. Ferrara, J.A. Harvey, A. Strominger and C. Vafa, Second-quantized mirror symmetry, Phys. Lett. B 361 (1995) 59 [hep-th/9505162].
10. [10] S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Non-perturbative results on the point particle limit of N = 2 heterotic string compactifications, Nucl. Phys. B 459 (1996) 537 [hep-th/9508155].
11. [11] P.S. Aspinwall, An N = 2 dual Pair and a phase transition, Nucl. Phys. B 460 (1996) 57 [hep-th/9510142].
12. [12] M. Bershadsky, V. Sadov and C. Vafa, D-strings on D-manifolds, Nucl. Phys. B 463 (1996) 398 [hep-th/9510225].
13. [13] P.S. Aspinwall, Enhanced gauge symmetries and Calabi-Yau threefolds, Phys. Lett. B 371 (1996) 231 [hep-th/9511171].
14. [14] A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995) 97 [hep-th/9504090].
15. [15] B.R. Greene, D.R. Morrison and A. Strominger, Black hole condensation and the unification of string vacua, Nucl. Phys. B 451 (1995) 109 [hep-th/9504145].
16. [16] Y. Hayakawa, Degeneration of Calabi-Yau manifold with Weil-Petersson metric [alg-geom/9507016].
17. [17] M. Reid, Canonical 3-Folds, Journées de Géométrie Algébrique d'Angers, A. Beauville, ed. (Sijthoff and Noordhoff, Alphen aan den Rijn, 1980) pp. 273-310.
18. [18] P. Berglund, S. Katz and A. Klemm, Extremal transitions between dual N = 2 string models [hep-th/9605154].
19. [19] H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B 463 (1996) 55 [hep-th/9511164].
20. [20] M. Bershadsky, V. Sadov and C. Vafa, D-branes and topological field theories, Nucl. Phys. B 463 (1996) 420 [hep-th/9511222].
21. [21] P.S. Aspinwall and D.R. Morrison, U-duality and integral structures, Phys. Lett. B 355 (1995) 141 [hep-th/9505025].
22. [22] D.R. Morrison, Mirror symmetry and the type II string, in: Proc. Trieste Workshop on S-Duality and Mirror Symmetry, Nucl. Phys. B Proc. Suppl. 46 (1996) 146 [hep-th/9512016].
23. [23] K. Becker, M. Becker and A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158].
24. [24] E. Witten, Phases of N = 2 theories in two dimensions, Nucl. Phys. B 403 (1993) 159 [hep-th/9301042].
25. [25] P.S. Aspinwall, B.R. Greene and D.R. Morrison, Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nucl. Phys. B 416 (1994) 414 [hep-th/9309097].
26. [26] E. Witten, Topological quantum field theory, Commun. Math. Phys. 117 (1988) 353.
27. [27] M. Duff, Strong/weak coupling duality from the dual string, Nucl. Phys. B 442 (1995) 47 [hep-th/9501030].
28. [28] N. Seiberg, Supersymmetry and non-perturbative beta functions, Phys. Lett. B 206 (1988) 75.
29. [29] A. Strominger, Special geometry, Commun. Math. Phys. 133 (1990) 163.
30. [30] N. Seiberg and E. Witten, Electromagnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087].
31. [31] C. Vafa, A stringy test of the fate of the conifold, Nucl. Phys. B 447 (1995) 252 [hep-th/9505023].
32. [32] E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135].
33. [33] A. Strominger, Open p-branes [hep-th/9512059].
34. [34] B.R. Greene, A. Shapere, C. Vafa and S.-T. Yau, Stringy cosmic strings, Nucl. Phys. B 337 (1990) 1.
35. [35] P.S. Aspinwall and D.R. Morrison, String theory on K3 surfaces, in: Essays on Mirror Manifolds II, B.R. Greene and S.-T. Yau, eds., to appear [hep-th/9404151].
36. [36] C. Callan, J. Harvey and A. Strominger, Supersymmetric string solitons, in: Proc. of 1991 Trieste Spring School, String Theory and Quantum Gravity (1991) 208 [hep-th/9112030].
37. [37] E.G. Gimon and J. Polchinski, Consistency conditions for orientifolds and D-manifolds, Phys. Rev. D 54 (1996) 1667 [hep-th/9601038].
38. [38] K. Kodaira, On compact analytic surfaces II, Ann. Math, 77 (1963) 563; On compact analytic surfaces III, Ann. Math. 78 (1963) 1.
39. [38] K. Kodaira, On compact analytic surfaces II, Ann. Math, 77 (1963) 563; On compact analytic surfaces III, Ann. Math. 78 (1963) 1.
40. [39] V.V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Alg. Geom. 3 (1994) 493 [alg-geom/9310003].
41. [40] P. Candelas, X. de la Ossa, A. Font, S. Katz and D.R. Morrison, Mirror symmetry for two parameter models (I), Nucl. Phys. B 416 (1994) 481 [hep-th/9308083].
42. [41] C. Gómez, R. Hernández and E. López, S-duality and the Calabi-Yau interpretation of the N = 4 to N = 2 flow [hep-th/9512017].
43. [42] I.M. Gel'fand, A.V. Zelevinskiǐ and M.M. Kapranov, Hypergeometric functions and toral (toric) manifolds, Func. Anal. Appl. 28 (1989) 94; Funk. Anal. Pril. 23 (1989) [Russian].
44. [42] I.M. Gel'fand, A.V. Zelevinskiǐ and M.M. Kapranov, Hypergeometric functions and toral (toric) manifolds, Func. Anal. Appl. 28 (1989) 94; Funk. Anal. Pril. 23 (1989) [Russian].
45. [43] P.S. Aspinwall, B.R. Greene and D.R. Morrison, Measuring small distances in N = 2 sigma models, Nucl. Phys. B 420 (1994) 184 [hep-th/9311042].
46. [44] P. Candelas, X.C. de la Ossa, P.S. Green and L. Parkes, A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory, Nucl. Phys. B 359 (1991) 21.
47. [45] P.S. Aspinwall and D.R. Morrison, Topological field theory and rational curves, Commun. Math. Phys. 151 (1993) 245 [hep-th/9110048].
48. [46] D.R. Morrison, Beyond the Kähler cone, in: Proc. of the Hirzebruch 65 Conference on Algebraic Geometry, M. Teicher, ed., Israel Math. Conf. Proc., Vol. 9, Bar-Ilan University (1996) pp. 361-376 [alg-geom/9407007].
49. [47] D. Burns Jr. and M. Rapoport, On the Torelli problem for Kählerian K3 surfaces, Ann. Sci. École Norm. Sup. 8 (1975) 235.
50. [48] P.M.H. Wilson, The Kähler cone on Calabi-Yau threefolds, Inv. Math. 107 (1992) 561.
51. [49] D.R. Morrison, Through the looking glass, Lecture at CIRM conference, Trento (June, 1994), to appear.
52. [50] Y. Namikawa and J.H.M. Steenbrink, Global smoothing of Calabi-Yau threefolds, Inv. Math. 122 (1995) 403.
53. [51] M. Gross, Deforming Calabi-Yau threefolds [alg-geom/9506022].
54. [52] M. Gross, Primitive Calabi-Yau threefolds [alg-geom/9512002].
55. [53] C.H. Clemens and P.A. Griffiths, The intermediate Jacobian of the cubic threefold, Ann. Math. 95 (1972) 281.
56. [54] N. Bourbaki, Groupes et Algèbres de Lie (Hermann, Paris, 1968).
57. [55] T.E. Zerger, Contracting Rational Curves on Smooth Complex Threefolds, Ph.D. thesis, Oklahoma State University (1996).
58. [56] P. Berglund, S. Katz and A. Klemm, Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties, Nucl. Phys. B 456 (1995) 153 [hep-th/9506091].
59. [57] D.R. Morrison, Making enumerative predictions by means of mirror symmetry, Essays on Mirror Manifolds II, B.R. Greene and S.-T. Yau, eds., to appear [alg-geom/9504013].
60. [58] M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories (with an appendix by S. Katz), Nucl. Phys. B 405 (1993) 279 [hep-th/9302103].
61. [59] S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, Commun. Math. Phys. 167 (1995) 301 [hep-th/9308122].
62. [60] S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces, Nucl. Phys. B 433 (1995) 501 [hep-th/9406055].
63. [61] P.S. Aspinwall, B.R. Greene and D.R. Morrison, The monomial-divisor mirror map, Int. Math. Res. Notices (1993) 319 [alg-geom/9309007].
64. [62] P.S. Aspinwall and J. Louis, On the ubiquity of K3 fibrations in string duality, Phys. Lett. B 369 (1996) 233 [hep-th/9510234].
65. [63] M.M. Kapranov, A characterization of A-discriminantal hypersurfaces in terms of the logarithmic gauss map, Math. Ann. 290 (1991) 277.
66. [64] D.R. Morrison and M.R. Plesser, Summing the instantons: quantum cohomology and mirror symmetry in toric varieties, Nucl. Phys. B 440 (1995) 279 [hep-th/9412236].
67. [65] A. Klemm and P. Mayr, Strong coupling singularities and non-abelian gauge symmetries in N = 2 string theory, Nucl. Phys. B 469 (1996) 37 [hep-th/9601014].