Gauge-gravity dualities, dipoles and new non-Kähler manifolds

Nuclear Physics B

Volumn 755, Issue 1-3, 2006, Pages 21-78

  Dasgupta, Keshav ^a   Grisaru, Marc ^a   Gwyn, Rhiannon ^a   Katz, Sheldon ^b   Knauf, Anke ^c,d   Tatar, Radu ^e  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c University of Maryland   (United States)

^d UNIVERSITY OF HAMBURG   (Germany)

^e UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749453426     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.07.026     Document Type: Article

References (138)

1. Falcitelli M., Farinola A., and Salamon S. Almost-Hermitian geometry. Differential Geom. 4 (1994) 259
2. Friedrich T., and Ivanov S. Parallel spinors and connections with skew-symmetric torsion in string theory. math.DG/0102142
3. Salamon S. Almost parallel structures. Contemp. Math. 288 (2001) 162-181. math.DG/0107146
4. 2 structures. Proc. Conf. Differential Geometry, Valencia 2001. math.DG/0202282
5. Cardoso G.L., Curio G., Dall'Agata G., Lust D., Manousselis P., and Zoupanos G. Non-Kaehler string backgrounds and their five torsion classes. Nucl. Phys. B 652 (2003) 5. hep-th/0211118
6. Behrndt K., Cvetic M., and Liu T. Classification of supersymmetric flux vacua in M theory. hep-th/0512032
7. Behrndt K., and Jeschek C. Fluxes in M-theory on 7-manifolds and G structures. JHEP 0304 (2003) 002. hep-th/0302047
8. Behrndt K., and Jeschek C. Fluxes in M-theory on 7-manifolds: G-structures and superpotential. Nucl. Phys. B 694 (2004) 99. hep-th/0311119
9. Dasgupta K., Rajesh G., and Sethi S. M theory, orientifolds and G-flux. JHEP 9908 (1999) 023. hep-th/9908088
10. Giddings S.B., Kachru S., and Polchinski J. Hierarchies from fluxes in string compactifications. Phys. Rev. D 66 (2002) 106006. hep-th/0105097
11. Becker K., and Dasgupta K. Heterotic strings with torsion. JHEP 0211 (2002) 006. hep-th/0209077
12. Becker K., Becker M., Dasgupta K., and Green P.S. Compactifications of heterotic theory on non-Kähler complex manifolds. I. JHEP 0304 (2003) 007. hep-th/0301161
13. Becker K., Becker M., Green P.S., Dasgupta K., and Sharpe E. Compactifications of heterotic strings on non-Kähler complex manifolds. II. Nucl. Phys. B 678 (2004) 19. hep-th/0310058
14. Becker K., and Tseng L.S. Heterotic flux compactifications and their moduli. Nucl. Phys. B 741 (2006) 162. hep-th/0509131
15. Becker K., Becker M., Fu J.X., Tseng L.S., and Yau S.T. Anomaly cancellation and smooth non-Kähler solutions in heterotic string theory. hep-th/0604137
16. Cyrier M., and Lapan J.M. Towards the massless spectrum of non-Kähler heterotic compactifications. hep-th/0605131
17. Cardoso G.L., Curio G., Dall'Agata G., and Lust D. BPS action and superpotential for heterotic string compactifications with fluxes. JHEP 0310 (2003) 004. hep-th/0306088
18. 2. Ann. Mat. Pura. Appl. 32 (1982) 19-45
19. 2 manifolds. Geom. Dedicata 70 (1998) 57
20. Friedrich T., and Ivanov S. Parallel spinors and connections with skew-symmetric torsion in string theory. math.DG/0102142
21. 2-manifolds. math.DG/0112201
22. 2, Spin(7)-heterotic string solitons. math.DG/0312094
23. Goldstein E., and Prokushkin S. Geometric model for complex non-Kähler manifolds with SU(3) structure. Commun. Math. Phys. 251 (2004) 65. hep-th/0212307
24. Li J., and Yau S.T. The existence of supersymmetric string theory with torsion. hep-th/0411136
25. Li J., and Yau S.T. Hermitian Yang-Mills connection on non-Kähler manifolds. Proceedings, Mathematical Aspects of String Theory. San Diego (1986) 560-573
26. Fu J.X., and Yau S.T. Existence of supersymmetric Hermitian metrics with torsion on non-Kaehler manifolds. hep-th/0509028
27. Gurrieri S., Lukas A., and Micu A. Heterotic on half-flat. Phys. Rev. D 70 (2004) 126009. hep-th/0408121
28. Micu A. Heterotic compactifications and nearly-Kaehler manifolds. Phys. Rev. D 70 (2004) 126002. hep-th/0409008
29. Frey A.R., and Lippert M. AdS strings with torsion: Non-complex heterotic compactifications. Phys. Rev. D 72 (2005) 126001. hep-th/0507202
30. Manousselis P., Prezas N., and Zoupanos G. Supersymmetric compactifications of heterotic strings with fluxes and condensates. Nucl. Phys. B 739 (2006) 85. hep-th/0511122
31. Kachru S., Schulz M.B., Tripathy P.K., and Trivedi S.P. New supersymmetric string compactifications. JHEP 0303 (2003) 061. hep-th/0211182
32. Kachru S., Schulz M.B., and Trivedi S. Moduli stabilization from fluxes in a simple IIB orientifold. JHEP 0310 (2003) 007. hep-th/0201028
33. Gurrieri S., and Micu A. Type IIB theory on half-flat manifolds. Class. Quantum Grav. 20 (2003) 2181. hep-th/0212278
34. Dall'Agata G., and Prezas N. N = 1 geometries for M-theory and type IIA strings with fluxes. Phys. Rev. D 69 (2004) 066004. hep-th/0311146
35. Franzen A., Kaura P., Misra A., and Ray R. Uplifting the Iwasawa. Fortschr. Phys. 54 (2006) 207. hep-th/0506224
36. Misra A. Flow equations for uplifting half-flat to Spin(7) manifolds. J. Math. Phys. 47 (2006) 033504. hep-th/0507147
37. SB-resolution of naked singularities. JHEP 0008 (2000) 052. hep-th/0007191
38. Maldacena J.M., and Nunez C. Towards the large N limit of pure N = 1 super-Yang-Mills. Phys. Rev. Lett. 86 (2001) 588. hep-th/0008001
39. Butti A., Grana M., Minasian R., Petrini M., and Zaffaroni A. The baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU(3) structure backgrounds. JHEP 0503 (2005) 069. hep-th/0412187
40. Becker M., Dasgupta K., Knauf A., and Tatar R. Geometric transitions, flops and non-Kähler manifolds. I. Nucl. Phys. B 702 (2004) 207. hep-th/0403288
41. Alexander S., Becker K., Becker M., Dasgupta K., Knauf A., and Tatar R. In the realm of the geometric transitions. Nucl. Phys. B 704 (2005) 231. hep-th/0408192
42. Becker M., Dasgupta K., Katz S., Knauf A., and Tatar R. Geometric transitions, flops and non-Kaehler manifolds. II. Nucl. Phys. B 738 (2006) 124. hep-th/0511099
43. Becker M., and Dasgupta K. Kähler versus non-Kähler compactifications. hep-th/0312221
44. Becker K., Becker M., Dasgupta K., and Tatar R. Geometric transitions, non-Kaehler geometries and string vacua. Int. J. Mod. Phys. A 20 (2005) 3442. hep-th/0411039
45. Strominger A., Yau S.T., and Zaslow E. Mirror symmetry is T-duality. Nucl. Phys. B 479 (1996) 243. hep-th/9606040
46. Pando Zayas L.A., and Tseytlin A.A. 3-branes on resolved conifold. JHEP 0011 (2000) 028. hep-th/0010088
47. Cvetic M., Gibbons G.W., Lu H., and Pope C.N. Ricci-flat metrics, harmonic forms and brane resolutions. Commun. Math. Phys. 232 (2003) 457. hep-th/0012011
48. Gurrieri S., Louis J., Micu A., and Waldram D. Mirror symmetry in generalized Calabi-Yau compactifications. Nucl. Phys. B 654 (2003) 61. hep-th/0211102
49. Bergman A., and Ganor O.J. Dipoles, twists and noncommutative gauge theory. JHEP 0010 (2000) 018. hep-th/0008030
50. Dasgupta K., Ganor O.J., and Rajesh G. Vector deformations of N = 4 super-Yang-Mills theory, pinned branes, and arched strings. JHEP 0104 (2001) 034. hep-th/0010072
51. Bergman A., Dasgupta K., Ganor O.J., Karczmarek J.L., and Rajesh G. Nonlocal field theories and their gravity duals. Phys. Rev. D 65 (2002) 066005. hep-th/0103090
52. Dasgupta K., and Sheikh-Jabbari M.M. Noncommutative dipole field theories. JHEP 0202 (2002) 002. hep-th/0112064
53. Lunin O., and Maldacena J. Deforming field theories with U (1) × U (1) global symmetry and their gravity duals. JHEP 0505 (2005) 033. hep-th/0502086
54. Gursoy U., and Nunez C. Dipole deformations of N = 1 SYM and supergravity backgrounds with U (1) × U (1) global symmetry. Nucl. Phys. B 725 (2005) 45. hep-th/0505100
55. Casero R., Nunez C., and Paredes A. Towards the string dual of N = 1 SQCD-like theories. Phys. Rev. D 73 (2006) 086005. hep-th/0602027
56. Landsteiner K., and Montero S. KK-masses in dipole deformed field theories. hep-th/0602035
57. Hitchin N. Generalized Calabi-Yau manifolds. Quart. J. Math. Oxford Ser. 54 (2003) 281. math.DG/0209099
58. Gualtieri M. Generalised complex geometry. math.DG/0401221
59. Fidanza S., Minasian R., and Tomasiello A. Mirror symmetric SU(3)-structure manifolds with NS fluxes. Commun. Math. Phys. 254 (2005) 401. hep-th/0311122
60. Grana M., Minasian R., Petrini M., and Tomasiello A. Supersymmetric backgrounds from generalized Calabi-Yau manifolds. JHEP 0408 (2004) 046. hep-th/0406137
61. Grana M., Minasian R., Petrini M., and Tomasiello A. Type II strings and generalized Calabi-Yau manifolds. C. R. Physique 5 (2004) 979. hep-th/0409176
62. Grana M., Minasian R., Petrini M., and Tomasiello A. Generalized structures of N = 1 vacua. hep-th/0505212
63. Lindstrom U., Minasian R., Tomasiello A., and Zabzine M. Generalized complex manifolds and supersymmetry. Commun. Math. Phys. 257 (2005) 235. hep-th/0405085
64. Lindstrom U. Generalized complex geometry and supersymmetric non-linear sigma models. hep-th/0409250
65. Lindstrom U., Rocek M., von Unge R., and Zabzine M. Generalized Kaehler geometry and manifest N = (2, 2) supersymmetric nonlinear sigma-models. JHEP 0507 (2005) 067. hep-th/0411186
66. R. Gwyn, in preparation
67. Gopakumar R., and Vafa C. On the gauge theory/geometry correspondence. Adv. Theor. Math. Phys. 3 (1999) 1415. hep-th/9811131
68. Witten E. Mirror manifolds and topological field theory. hep-th/9112056
69. E. Witten, in: S.T. Yau (Ed.), Mirror Symmetry I, p. 121
70. Adams A., Basu A., and Sethi S. (0, 2) duality. Adv. Theor. Math. Phys. 7 (2004) 865. hep-th/0309226
71. Katz S., and Sharpe E. Notes on certain (0, 2) correlation functions. Commun. Math. Phys. 262 (2006) 611. hep-th/0406226
72. Sharpe E. Notes on correlation functions in (0, 2) theories. hep-th/0502064
73. Sharpe E. Notes on certain other (0, 2) correlation functions. hep-th/0605005
74. Witten E. Two-dimensional models with (0, 2) supersymmetry: Perturbative aspects. hep-th/0504078
75. Kapustin A., and Li Y. Topological sigma-models with H-flux and twisted generalized complex manifolds. hep-th/0407249
76. Bershadsky M., Cecotti S., Ooguri H., and Vafa C. Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes. Commun. Math. Phys. 165 (1994) 311. hep-th/9309140
77. Vafa C. Superstrings and topological strings at large N. J. Math. Phys. 42 (2001) 2798. hep-th/0008142
78. Cachazo F., Intriligator K.A., and Vafa C. A large N duality via a geometric transition. Nucl. Phys. B 603 (2001) 3. hep-th/0103067
79. Edelstein J.D., Oh K., and Tatar R. Orientifold, geometric transition and large N duality for SO/Sp gauge theories. JHEP 0105 (2001) 009. hep-th/0104037
80. Cachazo F., Fiol B., Intriligator K.A., Katz S., and Vafa C. A geometric unification of dualities. Nucl. Phys. B 628 (2002) 3. hep-th/0110028
81. Gubser S.S., Herzog C.P., and Klebanov I.R. Symmetry breaking and axionic strings in the warped deformed conifold. JHEP 0409 (2004) 036. hep-th/0405282
82. Dymarsky A., Klebanov I.R., and Seiberg N. On the moduli space of the cascading SU (M + p) × SU (p) gauge theory. JHEP 0601 (2006) 155. hep-th/0511254
83. Schaller P., and Strobl T. Poisson structure induced (topological) field theories. Mod. Phys. Lett. A 9 (1994) 3129. hep-th/9405110
84. Gates J.M., Hull C.M., and Rocek M. Twisted multiplets and new supersymmetric nonlinear sigma models. Nucl. Phys. B 248 (1984) 157
85. Lindstrom U. Generalized N = (2, 2) supersymmetric non-linear sigma models. Phys. Lett. B 587 (2004) 216. hep-th/0401100
86. Dasgupta K., Oh K.h., Park J., and Tatar R. Geometric transition versus cascading solution. JHEP 0201 (2002) 031. hep-th/0110050
87. Dasgupta K., Oh K., and Tatar R. Geometric transition, large N dualities and MQCD dynamics. Nucl. Phys. B 610 (2001) 331. hep-th/0105066
88. Dasgupta K., Oh K., and Tatar R. Open/closed string dualities and Seiberg duality from geometric transitions in M-theory. JHEP 0208 (2002) 026. hep-th/0106040
89. Oh K.h., and Tatar R. Duality and confinement in N = 1 supersymmetric theories from geometric transitions. Adv. Theor. Math. Phys. 6 (2003) 141. hep-th/0112040
90. Becker K., and Becker M. M-theory on eight-manifolds. Nucl. Phys. B 477 (1996) 155. hep-th/9605053
91. Tseytlin A.A. Harmonic superpositions of M-branes. Nucl. Phys. B 475 (1996) 149. hep-th/9604035
92. Tseytlin A.A. Composite BPS configurations of p-branes in 10 and 11 dimensions. Class. Quantum Grav. 14 (1997) 2085. hep-th/9702163
93. Chen P., Dasgupta K., Narayan K., Shmakova M., and Zagermann M. Brane inflation, solitons and cosmological solutions: I. JHEP 0509 (2005) 009. hep-th/0501185
94. Becker K., Becker M., Dasgupta K., and Prokushkin S. Properties of heterotic vacua from superpotentials. Nucl. Phys. B 666 (2003) 144. hep-th/0304001
95. Russo J.G., and Tseytlin A.A. Exactly solvable string models of curved space-time backgrounds. Nucl. Phys. B 449 (1995) 91. hep-th/9502038
96. Tseytlin A.A. Exact solutions of closed string theory. Class. Quantum Grav. 12 (1995) 2365. hep-th/9505052
97. Bergshoeff E., Hull C.M., and Ortin T. Duality in the type II superstring effective action. Nucl. Phys. B 451 (1995) 547. hep-th/9504081
98. Meessen P., and Ortin T. An Sl (2, Z) multiplet of nine-dimensional type II supergravity theories. Nucl. Phys. B 541 (1999) 195. hep-th/9806120
99. Cvetic M., and Tseytlin A.A. General class of BPS saturated dyonic black holes as exact superstring solutions. Phys. Lett. B 366 (1996) 95. hep-th/9510097
100. Cvetic M., and Tseytlin A.A. Solitonic strings and BPS saturated dyonic black holes. Phys. Rev. D 53 (1996) 5619. hep-th/9512031
101. Cvetic M., and Tseytlin A.A. Phys. Rev. D 55 (1997) 3907 Erratum
102. Greene B.R., Shapere A.D., Vafa C., and Yau S.T. Stringy cosmic strings and noncompact Calabi-Yau manifolds. Nucl. Phys. B 337 (1990) 1
103. Aharony O., Fayyazuddin A., and Maldacena J.M. The large N limit of N = 2, 1 field theories from three-branes in F-theory. JHEP 9807 (1998) 013. hep-th/9806159
104. Dasgupta K., and Mukhi S. F-theory at constant coupling. Phys. Lett. B 385 (1996) 125. hep-th/9606044
105. Witten E. Bound states of strings and p-branes. Nucl. Phys. B 460 (1996) 335. hep-th/9510135
106. Gava E., Narain K.S., and Sarmadi M.H. On the bound states of p- and (p + 2)-branes. Nucl. Phys. B 504 (1997) 214. hep-th/9704006
107. Acharya B.S. On realising N = 1 super-Yang-Mills in M theory. hep-th/0011089
108. Acharya B., and Witten E. Chiral fermions from manifolds of G(2) holonomy. hep-th/0109152
109. Butti A., Grana M., Minasian R., Petrini M., and Zaffaroni A. The baryonic branch of Klebanov-Strassler solution: A supersymmetric family of SU (3) structure backgrounds. JHEP 0503 (2005) 069. hep-th/0412187
110. Park J., Rabadan R., and Uranga A.M. Orientifolding the conifold. Nucl. Phys. B 570 (2000) 38. hep-th/9907086
111. Strominger A. Superstrings with torsion. Nucl. Phys. B 274 (1986) 253
112. Hull C.M. Compactifications of the heterotic superstring. Phys. Lett. B 178 (1986) 357
113. Hull C.M., and Witten E. Supersymmetric sigma models and the heterotic string. Phys. Lett. B 160 (1985) 398
114. C.M. Hull, Superstring compactifications with torsion and space-time supersymmetry, Turin Superunif., Cambridge, 1985, p. 347, Print-86-0251
115. Gauntlett J.P., Martelli D., and Waldram D. Superstrings with intrinsic torsion. Phys. Rev. D 69 (2004) 086002. hep-th/0302158
116. Gauntlett J.P., Martelli D., Waldram D., and Pakis S. G-structures and wrapped NS5-branes. Commun. Math. Phys. 247 (2004) 421. hep-th/0205050
117. Barth W., Peters C., and Van de Ven A. Compact Complex Surfaces (1984), Springer-Verlag
118. Ganor O.J., and Varadarajan U. Nonlocal effects on D-branes in plane-wave backgrounds. JHEP 0211 (2002) 051. hep-th/0210035
119. Alishahiha M., and Ganor O.J. Twisted backgrounds, pp-waves and nonlocal field theories. JHEP 0303 (2003) 006. hep-th/0301080
120. Chiou D.W., and Ganor O.J. Noncommutative dipole field theories and unitarity. JHEP 0403 (2004) 050. hep-th/0310233
121. Dasgupta K., Rajesh G., Robbins D., and Sethi S. Time-dependent warping, fluxes, and NCYM. JHEP 0303 (2003) 041. hep-th/0302049
122. Dasgupta K., and Shmakova M. On branes and oriented B-fields. Nucl. Phys. B 675 (2003) 205. hep-th/0306030
123. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Adv. Theor. Math. Phys. 2 (1998) 231
124. Maldacena J.M. The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys. 38 (1999) 1113. hep-th/9711200
125. Aharony O., Gubser S.S., Maldacena J.M., Ooguri H., and Oz Y. Large N field theories, string theory and gravity. Phys. Rep. 323 (2000) 183. hep-th/9905111
126. Greene B.R., Schalm K., and Shiu G. Warped compactifications in M and F theory. Nucl. Phys. B 584 (2000) 480. hep-th/0004103
127. Imamura Y. Born-Infeld action and Chern-Simons term from Kaluza-Klein monopole in M-theory. Phys. Lett. B 414 (1997) 242. hep-th/9706144
128. Gauntlett J.P., and Lowe D.A. Dyons and S-duality in N = 4 supersymmetric gauge theory. Nucl. Phys. B 472 (1996) 194. hep-th/9601085
129. Lee K.M., Weinberg E.J., and Yi P. Electromagnetic duality and SU (3) monopoles. Phys. Lett. B 376 (1996) 97. hep-th/9601097
130. Sen A. Dynamics of multiple Kaluza-Klein monopoles in M and string theory. Adv. Theor. Math. Phys. 1 (1998) 115. hep-th/9707042
131. Sen A. A note on enhanced gauge symmetries in M and string theory. JHEP 9709 (1997) 001. hep-th/9707123
132. Schwarz J.H. An SL (2, Z) multiplet of type IIB superstrings. Phys. Lett. B 360 (1995) 13. hep-th/9508143
133. Schwarz J.H. Phys. Lett. B 364 (1995) 252 Erratum
134. Gauntlett J.P., Kim N., Martelli D., and Waldram D. Wrapped fivebranes and N = 2 super-Yang-Mills theory. Phys. Rev. D 64 (2001) 106008. hep-th/0106117
135. Bigazzi F., Cotrone A.L., and Zaffaroni A. N = 2 gauge theories from wrapped five-branes. Phys. Lett. B 519 (2001) 269. hep-th/0106160
136. Apreda R., Bigazzi F., Cotrone A.L., Petrini M., and Zaffaroni A. Some comments on N = 1 gauge theories from wrapped branes. Phys. Lett. B 536 (2002) 161. hep-th/0112236
137. Di Vecchia P., Lerda A., and Merlatti P. N = 1 and N = 2 super-Yang-Mills theories from wrapped branes. Nucl. Phys. B 646 (2002) 43. hep-th/0205204
138. Bigazzi F., Cotrone A.L., Petrini M., and Zaffaroni A. Supergravity duals of supersymmetric four-dimensional gauge theories. Riv. Nuovo Cimento 25 12 (2002) 1. hep-th/0303191