Matrix models and D-branes in twistor string theory

Journal of High Energy Physics

Volumn , Issue 3, 2006, Pages 37-74

  Lechtenfeld, Olaf ^a   Sämann, Christian ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

D branes; Integrable Field Theories; Matrix Models; Superstrings and Heterotic Strings

Indexed keywords

EID: 33645696356     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/03/002     Document Type: Article

References (90)

1. E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
2. N. Berkovits, An alternative string theory in twistor space for N ≤ 4 super-Yang-Mills 2004 Phys. Rev. Lett. 93 011601 [hep-th/0402045]
3. The web-pages of the London Mathematical Society Workshop on Twistor String Theory Oxford 10-14 January 2005, available online at http://www.maths.ox.ac.uk/∼lmason/Tws/ and the QMUL workshop: From twistors to amplitudes at http://www.strings.ph.qmul.ac.uk/∼andreas/FTTA/
4. A.D. Popov and M. Wolf, Topological B-model on weighted projective spaces and self-dual models in four dimensions 2004 J. High Energy Phys. JHEP09(2004)007 [hep-th/0406224]
5. C.H. Ahn, Mirror symmetry of Calabi-Yau supermanifolds 2005 Mod. Phys. Lett. A 20 407 [hep-th/0407009]
6. C. Saemann, The topological B-model on fattened complex manifolds and subsectors of N ≤ 4 self-dual Yang-Mills theory 2005 J. High Energy Phys. JHEP01(2005)042 [hep-th/0410292]
7. J. Park and S.J. Rey, Supertwistor orbifolds: Gauge theory amplitudes and topological strings 2004 J. High Energy Phys. JHEP12(2004)017 [hep-th/0411123]
8. M. Kulaxizi and K. Zoubos, Marginal deformations of N ≤ 4 SYM from open/closed twistor strings 2006 Nucl. Phys. B 738 317 [hep-th/0410122]
9. S. Giombi, M. Kulaxizi, R. Ricci, D. Robles-Llana, D. Trancanelli and K. Zoubos, Orbifolding the twistor string 2005 Nucl. Phys. B 719 234 [hep-th/0411171]
10. M. Wolf, On hidden symmetries of a super gauge theory and twistor string theory 2005 J. High Energy Phys. JHEP02(2005)018 [hep-th/0412163]
11. D.W. Chiou, O.J. Ganor, Y.P. Hong, B.S. Kim and I. Mitra, Massless and massive three dimensional super Yang-Mills theory and mini-twistor string theory 2005 Phys. Rev. D 71 125016 [hep-th/0502076]
12. A.D. Popov, C. Saemann and M. Wolf, The topological B-model on a mini-supertwistor space and supersymmetric Bogomolny monopole equations 2005 J. High Energy Phys. JHEP10(2005)058 [hep-th/0505161]
13. C. Saemann, On the mini-superambitwistor space and N ≤ 8 super Yang-Mills theory [hep-th/0508137]
14. U. Lindström, M. Rocek and R. von Unge, Ricci-flat supertwistor spaces 2006 J. High Energy Phys. JHEP01(2006)163 [hep-th/0509211]
15. G. Bonelli, L. Bonora and A. Ricco, Conifold geometries, topological strings and multi-matrix models 2005 Phys. Rev. D 72 086001 [hep-th/0507224]
16. O. Lechtenfeld and A.D. Popov, Supertwistors and cubic string field theory for open N ≤ 2 strings 2004 Phys. Lett. B 598 113 [hep-th/0406179]
17. R. Wimmer, D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory 2005 J. High Energy Phys. JHEP05(2005)022 [hep-th/0502158]
18. Z. Horvath, O. Lechtenfeld and M. Wolf, Noncommutative instantons via dressing and splitting approaches 2002 J. High Energy Phys. JHEP12(2002)060 [hep-th/0211041]
19. O. Lechtenfeld and A.D. Popov, Noncommutative multi-solitons in 2+1 dimensions 2001 J. High Energy Phys. JHEP11(2001)040 [hep-th/0106213]
20. O. Lechtenfeld and A.D. Popov, Scattering of noncommutative solitons in 2+1 dimensions 2001 Phys. Lett. B 523 178 [hep-th/0108118]
21. M. Wolf, Soliton antisoliton scattering configurations in a noncommutative sigma model in 2+1 dimensions 2002 J. High Energy Phys. JHEP06(2002)055 [hep-th/0204185]
22. M. Ihl and S. Uhlmann, Noncommutative extended waves and soliton-like configurations in N ≤ 2 string theory 2003 Int. J. Mod. Phys. A 18 4889 [hep-th/0211263]
23. O. Lechtenfeld, A.D. Popov and B. Spendig, Noncommutative solitons in open N ≤ 2 string theory 2001 J. High Energy Phys. JHEP06(2001)011 [hep-th/0103196]
24. M.T. Grisaru, L. Mazzanti, S. Penati and L. Tamassia, Some properties of the integrable noncommutative sine-Gordon system 2004 J. High Energy Phys. JHEP04(2004)057 [hep-th/0310214]
25. O. Lechtenfeld, L. Mazzanti, S. Penati, A.D. Popov and L. Tamassia, Integrable noncommutative sine-Gordon model 2005 Nucl. Phys. B 705 477 [hep-th/0406065]
26. A.V. Domrin, O. Lechtenfeld and S. Petersen, Sigma-model solitons in the noncommutative plane: Construction and stability analysis 2005 J. High Energy Phys. JHEP03(2005)045 [hep-th/0412001]
27. A.D. Popov and C. Saemann, On supertwistors, the Penrose-Ward transform and N ≤ 4 super Yang-Mills theory [hep-th/0405123]
28. J.P. Harnad, J. Hurtubise, M. Legaré and S. Shnider, Constraint equations and field equations in supersymmetric N ≤ 3 Yang-Mills theory 1985 Nucl. Phys. B 256 609
29. C. Devchand and V. Ogievetsky, Interacting fields of arbitrary spin and N>4 supersymmetric self-dual Yang-Mills equations 1996 Nucl. Phys. B 481 188 [hep-th/9606027]
30. W. Siegel, The N ≤ 2 (4) string is selfdual N ≤ 4 Yang-Mills 1992 Phys. Rev. D 46 R3235 [hep-th/9205075]
31. N. Ishibashi, H. Kawai, Y. Kitazawa and A. Tsuchiya, A large-N reduced model as superstring 1997 Nucl. Phys. B 498 467 [hep-th/9612115]
32. N. Seiberg and E. Witten, String theory and noncommutative geometry 1999 J. High Energy Phys. JHEP09(1999)032 [hep-th/9908142]
33. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory 2001 Rev. Mod. Phys. 73 977 [hep-th/0106048]
34. R.J. Szabo, Quantum field theory on noncommutative spaces 2003 Phys. Rep. 378 207 [hep-th/0109162]
35. A. Kapustin, A. Kuznetsov and D. Orlov, Noncommutative instantons and twistor transform 2001 Comm. Math. Phys. 221 385 [hep-th/0002193]
36. K. Takasaki, Anti-self-dual Yang-Mills equations on noncommutative spacetime 2001 J. Geom. Phys. 37 291 [hep-th/0005194]
37. O. Lechtenfeld and A.D. Popov, Noncommutative 't Hooft instantons 2002 J. High Energy Phys. JHEP03(2002)040 [hep-th/0109209]
38. O. Lechtenfeld and A.D. Popov, Noncommutative monopoles and Riemann-Hilbert problems 2004 J. High Energy Phys. JHEP01(2004)069 [hep-th/0306263]
39. N. Berkovits and L. Motl, Cubic twistorial string field theory 2004 J. High Energy Phys. JHEP04(2004)056 [hep-th/0403187]
40. W. Siegel, Untwisting the twistor superstring [hep-th/0404255]
41. A. Neitzke and C. Vafa, N ≤ 2 strings and the twistorial Calabi-Yau [hep-th/0402128]
42. H. Ooguri and C. Vafa, Selfduality and N ≤ 2 string magic 1990 Mod. Phys. Lett. A 5 1389
43. H. Ooguri and C. Vafa, Geometry of N ≤ 2 strings 1991 Nucl. Phys. B 361 469
44. N. Marcus, A tour through N ≤ 2 strings [hep-th/9211059]
45. O. Lechtenfeld, Mathematics and physics of N ≤ 2 strings [hep-th/9912281]
46. N. Berkovits, Super-Poincaré invariant superstring field theory 1995 1996 Nucl. Phys. B 450 90 [hep-th/9503099] [Erratum-ibid. B 459 439]
47. N. Berkovits and C. Vafa, N ≤ 4 topological strings 1995 Nucl. Phys. B 433 123 [hep-th/9407190]
48. H. Ooguri and C. Vafa, All loop N ≤ 2 string amplitudes 1995 Nucl. Phys. B 451 121 [hep-th/9505183]
49. O. Lechtenfeld and A.D. Popov, On the integrability of covariant field theory for open N ≤ 2 strings 2000 Phys. Lett. B 494 148 [hep-th/0009144]
50. O. Lechtenfeld, A.D. Popov and S. Uhlmann, Exact solutions of Berkovits' string field theory 2002 Nucl. Phys. B 637 119 [hep-th/0204155]
51. A. Kling, O. Lechtenfeld, A.D. Popov and S. Uhlmann, On nonperturbative solutions of superstring field theory 2003 Phys. Lett. B 551 193 [hep-th/0209186]
52. Solving string field equations: New uses for old tools 2003 Fortschr. Phys. 51 775 [hep-th/0212335]
53. A. Kling and S. Uhlmann, String field theory vertices for fermions of integral weight 2003 J. High Energy Phys. JHEP07(2003)061 [hep-th/0306254]
54. M. Ihl, A. Kling and S. Uhlmann, String field theory projectors for fermions of integral weight 2004 J. High Energy Phys. JHEP03(2004)002 [hep-th/0312314]
55. V.P. Nair and J. Schiff, Kähler Chern-Simons theory and symmetries of antiselfdual gauge fields 1992 Nucl. Phys. B 371 329
56. G. Chalmers and W. Siegel, The self-dual sector of QCD amplitudes, 1996 Phys. Rev. D 54 7628 [hep-th/9606061]
57. N. Berkovits and W. Siegel, Covariant field theory for self-dual strings 1997 Nucl. Phys. B 505 139 [hep-th/9703154]
58. E. Witten, Interacting field theory of open superstrings 1986 Nucl. Phys. B 276 291
59. D.P. Sorokin, Superbranes and superembeddings 2000 Phys. Rep. 329 1 [hep-th/9906142]
60. A. Iqbal, N. Nekrasov, A. Okounkov and C. Vafa, Quantum foam and topological strings [hep-th/0312022]
61. N. Nekrasov, H. Ooguri and C. Vafa, S-duality and topological strings 2004 J. High Energy Phys. JHEP10(2004)009 [hep-th/0403167]
62. E. Witten, Chern-Simons gauge theory as a string theory 1995 Prog. Math. 133 637-678 [hep-th/9207094]
63. C. Vafa, Brane/anti-brane systems and U(N|M) supergroup [hep-th/0101218]
64. A. Neitzke and C. Vafa, Topological strings and their physical applications [hep-th/0410178]
65. A. Neveu and J.H. Schwarz, Factorizable dual model of pions 1971 Nucl. Phys. B 31 86
66. P. Ramond, Dual theory for free fermions 1971 Phys. Rev. D 3 2415
67. M.B. Green and J.H. Schwarz, Properties of the covariant formulation of superstring theories 1984 Nucl. Phys. B 243 285
68. O. Lechtenfeld, A.D. Popov and B. Spendig, Open N ≤ 2 strings in a B-field background and noncommutative self-dual Yang-Mills 2001 Phys. Lett. B 507 317 [hep-th/0012200]
69. E.J. Martinec, M-theory and N ≤ 2 strings [hep-th/9710122]
70. D. Glück, Y. Oz and T. Sakai, D-branes in N ≤ 2 strings 2003 J. High Energy Phys. JHEP08(2003)055 [hep-th/0306112]
71. K. Jünemann and B. Spendig, D-brane scattering of N ≤ 2 strings 2001 Phys. Lett. B 520 163 [hep-th/0108069]
72. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld and Y.I. Manin, Construction of instantons 1978 Phys. Lett. A 65 185
73. E. Witten, Bound states of strings and p-branes 1996 Nucl. Phys. B 460 335 [hep-th/9510135]
74. M.R. Douglas, Branes within branes [hep-th/9512077]
75. M.R. Douglas, Gauge fields and D-branes 1998 J. Geom. Phys. 28 255 [hep-th/9604198]
76. D. Tong, TASI lectures on solitons [hep-th/0509216]
77. N. Dorey, T.J. Hollowood, V.V. Khoze and M.P. Mattis, The calculus of many instantons 2002 Phys. Rep. 371 231 [hep-th/0206063]
78. J.P. Harnad and S. Shnider, Constraints and field equations for ten-dimensional super Yang-Mills theory 1986 Comm. Math. Phys. 106 183
79. A. M. Semikhatov, Supersymmetric instanton, 1982 JETP Lett. 35 560
80. I.V. Volovich, Superselfduality for supersymmetric Yang-Mills theory 1983 Phys. Lett. B 123 329
81. T. Araki, T. Takashima and S. Watamura, On a superfield extension of the ADHM construction and N ≤ 1 super instantons 2005 J. High Energy Phys. JHEP08(2005)065 [hep-th/0506112]
82. A. Kapustin, Topological strings on noncommutative manifolds 2004 Int. J. Geom. Meth. Mod. Phys. 1 49 [hep-th/0310057]
83. W. Nahm, A simple formalism for the BPS monopole 1980 Phys. Lett. B 90 413
84. D.E. Diaconescu, D-branes, monopoles and Nahm equations 1997 Nucl. Phys. B 503 220 [hep-th/9608163]
85. K. Hashimoto and S. Terashima, Stringy derivation of Nahm construction of monopoles 2005 J. High Energy Phys. JHEP09(2005)055 [hep-th/0507078]
86. C.G. Callan Jr. and J.M. Maldacena, Brane dynamics from the Born-Infeld action 1998 Nucl. Phys. B 513 198 [hep-th/9708147]
87. A.D. Popov, Holomorphic analogs of topological gauge theories 2000 Phys. Lett. B 473 65 [hep-th/9909135]
88. T.A. Ivanova and A.D. Popov, Dressing symmetries of holomorphic BF theories 2000 J. Math. Phys. 41 2604 [hep-th/0002120]
89. L. Baulieu and A. Tanzini, Topological symmetry of forms, N ≤ 1 supersymmetry and S-duality on special manifolds [hep-th/0412014]
90. P.S. Aspinwall, D-branes on Calabi-Yau manifolds [hep-th/0403166]