Nekrasov functions from exact Bohr-Sommerfeld periods: The case of SU(N)

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 19, 2010, Pages

  Mironov, A ^a,b   Morozov, A ^b  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951921452     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/19/195401     Document Type: Article

References (104)

1. Mironov A and Morozov A 2009 arXiv:0910.5670
2. Nekrasov N and Shatashvili S 2009 arXiv:0908.4052
3. Morozov A 1994 Phys.-Usp. 37 1 (arXiv:hep-th/9303139)
4. Morozov A 1995 arXiv:hep-th/9502091
5. Morozov A 2005 arXiv:hep-th/0502010
6. Mironov A 1994 Int. J. Mod. Phys. A 9 4355 (arXiv:hep-th/9312212)
7. Mironov A 2002 Phys. Part. Nucl. 33 537 (arXiv:hep-th/9409190)
8. Mironov A 1998 Theor. Math. Phys. 114 127 (arXiv:q-alg/9711006)
9. Seiberg N and Witten E 1994 Nucl. Phys. B 426 19-52 (arXiv:hep-th/ 9408099)
10. Seiberg N and Witten E 1994 Nucl. Phys. B 431 484-550 (arXiv:hep-th/9407087)
11. Argyres P and Shapere A 1996 Nucl. Phys. B 461 437-59 (arXiv:hep-th/9509175)
12. Sonnenschein J, Theisen S and Yankielowicz S 1996 Phys. Lett. B 367 145-50 (arXiv:hep-th/9510129)
13. Gorsky A, Krichever I, Marshakov A, Mironov A and Morozov A 1995 Phys. Lett. B 355 466-77 (arXiv:hep-th/9505035)
14. Martinec E and Warner N 1996 Nucl. Phys. 459 97 (arXiv:hep-th/9509161)
15. Donagi R and Witten E 1996 Nucl. Phys. B 460 299-334 (arXiv:hep-th/ 9510101)
16. Martinec E 1996 Phys. Lett. B 367 91-6 (arXiv:hep-th/9510204)
17. Gorsky A and Marshakov A 1996 Phys. Lett. B 374 218-24 (arXiv:hep-th/9510224)
18. Itoyama H and Morozov A 1996 Nucl. Phys. B 477 855-77 (arXiv:hep-th/9511126)
19. Itoyama H and Morozov A 1997 Nucl. Phys. B 491 529-73 (arXiv:hep-th/9512161)
20. Itoyama H and Morozov A 1996 arXiv:hep-th/9601168
21. Nekrasov N 1998 Nucl. Phys. B 531 323-44 (arXiv:hep-th/9609219)
22. Braden H W, Marshakov A, Mironov A and Morozov A 1999 Phys. Lett. B 448 195 (arXiv:hep-th/9812078)
23. Braden H W, Marshakov A, Mironov A and Morozov A 1999 Nucl. Phys. B 558 371 (arXiv:hep-th/9902205)
24. Gorsky A, Marshakov A, Mironov A and Morozov A 1996 Phys. Lett. B 380 75-80 (arXiv:hep-th/9603140)
25. Gorsky A, Marshakov A, Mironov A and Morozov A 1996 arXiv:hep-th/9604078
26. Gorsky A, Gukov S and Mironov A 1998 Nucl. Phys. B 517 409-61 (arXiv:hep-th/9707120)
27. Gorsky A and Mironov A 2000 arXiv:hep-th/0011197
28. Nekrasov N 2004 Adv. Theor. Math. Phys. 7 831-64 (arXiv:hep-th/0206161)
29. Moore G, Nekrasov N and Shatashvili S 1998 Nucl. Phys. B 534 549-611 (arXiv:hep-th/9711108)
30. Moore G, Nekrasov N and Shatashvili S 1998 arXiv:hep-th/9801061
31. Losev A, Nekrasov N and Shatashvili S 2000 Commun. Math. Phys. 209 97-121 (arXiv:hep-th/9712241)
32. Losev A, Nekrasov N and Shatashvili S 2000 Commun. Math. Phys. 209 77-95 (arXiv:hep-th/9803265)
33. Semenov-Tyan-Shansky M 1976 Izv. RAN, Ser. Phys. 40 562
34. Duisermaat J J and Heckman G J 1983 Inv. Math. 72 153
35. Atiyah M and Bott R 1984 Topology 23 1
36. Atiyah M F 1985 Asterisque 131 43
37. Witten E 1988 Commun. Math. Phys. 117 353
38. Witten E 1991 Int. J. Mod. Phys. A 6 2775-92
39. Alekseev A, Faddeev L and Shatashvili S 1989 J. Geom. Phys. 1 3
40. Blau M, Keski-Vakkuri E and Niemi A 1990 Phys. Lett. B 246 92
41. Hietamaki A, Morozov A, Niemi A and Palo K 1991 Phys. Lett. B 263 417-24
42. Hietamaki A, Morozov A, Niemi A and Palo K 1991 Phys. Lett. B 271 365-71
43. Hietamaki A, Morozov A, Niemi A and Palo K 1992 Nucl. Phys. B 377 295-338
44. Hietamaki A, Morozov A, Niemi A and Palo K 1992 Int. J. Mod. Phys. B 6 2149-58
45. Gerasimov A, Khoroshkin S, Lebedev D, Mironov A and Morozov A 1995 Int. J. Mod. Phys. A 10 2589-614 (arXiv:hep-th/9405011)
46. Alexandrov A, Mironov A and Morozov A 2004 Int. J. Mod. Phys. A 19 4127
47. Alexandrov A, Mironov A and Morozov A 2005 Theor. Math. Phys. 142 349 (arXiv:hep-th/0310113)
48. Alexandrov A, Mironov A, Morozov A and Putrov P 2008 arXiv:0811.2825
49. Mironov A and Morozov A 2009 Phys. Lett. B 680 188-94 (arXiv:0908.2190)
50. Alday L, Gaiotto D and Tachikawa Y 2009 arXiv:0906.3219
51. Wyllard N 2009 arXiv:0907.2189
52. Drukker N, Morrison D and Okuda T 2009 arXiv:0907.2593
53. Marshakov A, Mironov A and Morozov A 2009 arXiv:0907.3946
54. Marshakov A, Mironov A and Morozov A 2009 Phys. Lett. B 682 125-9 (arXiv:0909.2052)
55. Marshakov A, Mironov A and Morozov A 2009 J. High Energy Phys. JHEP11(2009)048 (arXiv:0909.3338)
56. Gaiotto D 2009 arXiv:0908.0307
57. Mironov A, Mironov S, Morozov A and Morozov A 2009 arXiv:0908.2064
58. Mironov A and Morozov A 2009 Nucl. Phys. B 825 1-37 (arXiv:0908.2569)
59. Mironov A and Morozov A 2009 Phys. Lett. B 682 118-24 (arXiv:0909.3531)
60. Iguri S and Nunez C 2009 arXiv:0908.3460
61. Nanopoulos D and Xie D 2009 arXiv:0908.4409
62. Nanopoulos D and Xie D 2009 arXiv:0911.1990
63. Alday L, Gaiotto D, Gukov S, Tachikawa Y and Verlinde H 2009 arXiv:0909.0945
64. Drukker N, Gomis J, Okuda T and Teschner J 2009 arXiv:0909.1105
65. Dijkgraaf R and Vafa C 2009 arXiv:0909.2453
66. Poghossian R 2009 arXiv:0909.3412
67. Gadde A, Pomoni E, Rastelli L and Razamat S 2009 arXiv:0910.2225
68. Bonelli G and Tanzini A 2009 arXiv:0909.4031
69. Alday L, Benini F and Tachikawa Y 2009 arXiv:0909.4776
70. Awata H and Yamada Y 2009 arXiv:0910.4431
71. Alba V and Morozov And 2009 arXiv:0911.0363
72. Wu J-F and Zhou Y 2009 arXiv:0911.1922
73. Kharchev S, Marshakov A, Mironov A and Morozov A 1995 Int. J. Mod. Phys. A 10 2015 (arXiv:hep-th/9312210)
74. Eynard B 2008 J. Stat. Mech. 0807 P07023 (arXiv:0804.0381)
75. Klemm A and Sulkowski P 2009 Nucl. Phys. B 819 400-30 (arXiv:0810.4944)
76. Nekrasov N and Okounkov A 2003 arXiv:hep-th/0306238
77. Mironov A, Morozov A and Natanzon S 2009 arXiv:0904.4227
78. Nekrasov N and Shatashvili S 2009 Nucl. Phys., Proc. Suppl. B 192-3 91-112 (arXiv:0901.4744)
79. Nekrasov N and Shatashvili S 2009 arXiv:0901.4748
80. Wentzel G 1926 Z. Phys. 38 518
81. Brilloin L 1926 Comptes Rendus 183 24
82. Kramers H A 1926 Z. Phys. 39 828
83. Zwaan A 1929 Arch. Neerl. Sci. 12 33
84. Dunham J L 1932 Phys. Rev. 41 713-20
85. Alexandrov A, Mironov A and Morozov A 2005 Fortsch. Phys. 53 512-21 (arXiv:hep-th/0412205)
86. Mironov A 2006 Theor. Math. Phys. 146 63-72 (arXiv:hep-th/0506158)
87. Dijkgraaf R and Vafa C 2002 Nucl. Phys. B 644 3 (arXiv:hep-th/0206255)
88. Dijkgraaf R and Vafa C 2002 Nucl. Phys. B 644 21 (arXiv:hep-th/0207106)
89. Dijkgraaf R and Vafa C 2002 arXiv:hep-th/0208048
90. Chekhov L and Mironov A 2003 Phys. Lett. B 552 293 (arXiv:hep-th/0209085)
91. Itoyama H and Morozov A 2003 Prog. Theor. Phys. 109 433-63 (arXiv:hep-th/0212032)
92. Itoyama H and Morozov A 2003 Int. J. Mod. Phys. A 18 5889-906 (arXiv:hep-th/0301136)
93. Chekhov L, Marshakov A, Mironov A and Vasiliev D 2003 arXiv:hep-th/0301071
94. Chekhov L, Marshakov A, Mironov A and Vasiliev D 2005 Proc. Steklov Inst. Math. 251 254 (arXiv:hep-th/0506075)
95. Flume R and Pogossian R 2003 Int. J. Mod. Phys. A 18 2541
96. Nakajima H and Yoshioka K 2003 arXiv:math/0306198
97. Nakajima H and Yoshioka K 2003 arXiv:math/0311058
98. Shadchin S 2006 SIGMA 2 008 (arXiv:hep-th/0601167)
99. Shadchin S 2005 arXiv:hep-th/0502180
100. Bellisai D, Fucito F, Tanzini A and Travaglini G 2000 Phys. Lett. B 480 365 (arXiv:hep-th/0002110)
101. Bruzzo U, Fucito F, Tanzini A and Travaglini G 2001 Nucl. Phys. B 611 205-26 (arXiv:hep-th/0008225)
102. Bruzzo U, Fucito F, Morales J and Tanzini A 2003 J. High Energy Phys. JHEP05(2003)054 (arXiv:hep-th/0211108)
103. Bruzzo U and Fucito F 2004 Nucl. Phys. B 678 638-55 (arXiv:math-ph/ 0310036)
104. Fucito F, Morales J and Pogossian R 2004 J. High Energy Phys. JHEP10(2004)037 (arXiv:hep-th/040890)