Supersymmetric Yang-Mills theories with exact supersymmetry on the lattice

International Journal of Modern Physics A

Volumn 26, Issue 30-31, 2011, Pages 5057-5132

  Joseph, Anosh ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

gauge string duality; lattice gauge theory; renormalization; Supersymmetric models

Indexed keywords

EID: 83755174140     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X11054863     Document Type: Review

References (92)

1. J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998), arXiv:hep-th/9711200.
2. L. Brink, J. H. Schwarz and J. Scherk, Nucl. Phys. B 121, 77 (1977).
3. F. Gliozzi, J. Scherk and D. I. Olive, Nucl. Phys. B 122, 253 (1977).
4. J. Polchinski, String Theory. Vol. 2: Superstring Theory and Beyond (Cambridge University Press, 1998).
5. S. Weinberg, The Quantum Theory of Fields. Vol. 3: Supersymmetry (Cambridge University Press, 2000).
6. A. S. Schwarz, Lett. Math. Phys. 2, 247 (1978).
7. E. Witten, J. Diff. Geom. 17, 661 (1982).
8. C. Becchi, A. Rouet and R. Stora, Ann. Phys. (N.Y.) 98, 287 (1976).
9. M. Z. Iofa and I. V. Tyutin, Teor. Mat. Fiz. 27, 38 (1976).
10. D. Birmingham, M. Blau, M. Rakowski and G. Thompson, Phys. Rep. 209, 129 (1991).
11. E. Witten, Commun. Math. Phys. 117, 353 (1988).
12. L. Baulieu and I. M. Singer, Nucl. Phys. B (Proc. Suppl.) 5, 12 (1988).
13. R. Brooks, D. Montano and J. Sonnenschein, Phys. Lett. B 214, 91 (1988).
14. J. M. F. Labastida and M. Pernici, Phys. Lett. B 212, 56 (1988).
15. I. A. Batalin and G. A. Vilkovisky, Phys. Rev. D 28, 2567 (1983).
16. J. P. Yamron, Phys. Lett. B 213, 325 (1988).
17. C. Vafa and E. Witten, Nucl. Phys. B 431, 3 (1994), arXiv:hep-th/9408074.
18. N. Marcus, Nucl. Phys. B 452, 331 (1995), arXiv:hep-th/9506002.
19. M. Blau and G. Thompson, Nucl. Phys. B 492, 545 (1997), arXiv:hep-th/9612143.
20. S. Elitzur, E. Rabinovici and A. Schwimmer, Phys. Lett. B 119, 165 (1982).
21. N. Sakai and M. Sakamoto, Nucl. Phys. B 229, 173 (1983).
22. V. A. Kostelecky and J. M. Rabin, J. Math. Phys. 25, 2744 (1984).
23. D. M. Scott, J. Phys. A 17, 1123 (1984).
24. H. Aratyn and A. H. Zimerman, J. Phys. A 18, L487 (1985).
25. N. Kawamoto and T. Tsukioka, Phys. Rev. D 61, 105009 (2000), arXiv:hepth/ 9905222.
26. J. Kato, N. Kawamoto and Y. Uchida, Int. J. Mod. Phys. A 19, 2149 (2004), arXiv:hep-th/0310242.
27. A. D'Adda, I. Kanamori, N. Kawamoto and K. Nagata, Nucl. Phys. B 707, 100 (2005), arXiv:hep-lat/0406029.
28. S. Catterall, Nucl. Phys. B (Proc. Suppl.) 140, 751 (2005), arXiv:hep-lat/0409015.
29. S. Catterall, J. High Energy Phys. 0411, 006 (2004), arXiv:hep-lat/ 0410052.
30. S. Catterall, J. High Energy Phys. 0506, 027 (2005), arXiv:hep-lat/ 0503036.
31. S. Catterall, PoS (LAT2005), 006 (2006), arXiv:hep-lat/0509136.
32. S. Catterall, D. B. Kaplan and M. Unsal, Phys. Rep. 484, 71 (2009), arXiv: 0903.4881.
33. E. Witten, Nucl. Phys. B 403, 159 (1993), arXiv:hep-th/9301042.
34. D. B. Kaplan, E. Katz and M. ünsal, J. High Energy Phys. 0305, 037 (2003), arXiv:hep-lat/0206019.
35. A. G. Cohen, D. B. Kaplan, E. Katz and M. ünsal, J. High Energy Phys. 0308, 024 (2003), arXiv:hep-lat/0302017.
36. A. G. Cohen, D. B. Kaplan, E. Katz and M. ünsal, J. High Energy Phys. 0312, 031 (2003), arXiv:hep-lat/0307012.
37. D. B. Kaplan and M. ünsal, J. High Energy Phys. 0509, 042 (2005), arXiv:heplat/ 0503039.
38. T. Banks, Y. Dothan and D. Horn, Phys. Lett. B 117, 413 (1982).
39. J. M. Rabin, Nucl. Phys. B 201, 315 (1982).
40. A. D'Adda, I. Kanamori, N. Kawamoto and K. Nagata, Phys. Lett. B 633, 645 (2006), arXiv:hep-lat/0507029.
41. A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program, arXiv:hep-th/0604151.
42. P. Becher, Phys. Lett. B 104, 221 (1981).
43. P. Becher and H. Joos, Z. Phys. C 15, 343 (1982).
44. H. Aratyn, M. Goto and A. H. Zimerman, Nuovo Cimento A 84, 255 (1984).
45. P. H. Damgaard and S. Matsuura, Phys. Lett. B 661, 52 (2008), arXiv:0801.2936.
46. M. Hanada, S. Matsuura and F. Sugino, arXiv:1004.5513.
47. M. Hanada, J. High Energy Phys. 1011, 112 (2010), arXiv:1009.0901.
48. M. Hanada, S. Matsuura and F. Sugino, arXiv:1109.6807.
49. F. Sugino, J. High Energy Phys. 0401, 015 (2004), arXiv:hep-lat/0311021.
50. F. Sugino, J. High Energy Phys. 0403, 067 (2004), arXiv:hep-lat/0401017.
51. I. Kanamori and H. Suzuki, Nucl. Phys. B 811, 420 (2009), arXiv:0809.2856.
52. M. Hanada and I. Kanamori, Phys. Rev. D 80, 065014 (2009), arXiv:0907.4966.
53. M. Hanada and I. Kanamori, J. High Energy Phys. 1101, 058 (2011), arXiv: 1010.2948.
54. S. Catterall, E. Dzienkowski, J. Giedt, A. Joseph and R. Wells, J. High Energy Phys. 1104, 074 (2011), arXiv:1102.1725.
55. S. Matsuura, J. High Energy Phys. 0712, 048 (2007), arXiv:0709.4193.
56. T. Reisz, Commun. Math. Phys. 116, 81 (1988).
57. T. Reisz, Commun. Math. Phys. 116, 573 (1988).
58. T. Reisz, Commun. Math. Phys. 117, 79 (1988).
59. T. Reisz, Commun. Math. Phys. 117, 639 (1988).
60. H. Kawai, R. Nakayama and K. Seo, Nucl. Phys. B 189, 40 (1981).
61. S. Capitani, Phys. Rep. 382, 113 (2003), arXiv:0211.036v2.
62. N. Itzhaki, J. M. Maldacena, J. Sonnenschein and S. Yankielowicz, Phys. Rev. D 58, 046004 (1998).
63. G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997), arXiv:hepth/ 9612146.
64. E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998), arXiv:hep-th/9803131.
65. S. Catterall and A. Joseph, An object oriented code for simulating supersymmetric Yang-Mills theories, arXiv:1108.1503.
66. S. Catterall and T. Wiseman, Phys. Rev. D 78, 041502 (2008).
67. N. Kawahara, J. Nishimura and S. Takeuchi, J. High Energy Phys. 0712, 103 (2007), arXiv:0710.2188.
68. M. Hanada, J. Nishimura and S. Takeuchi, Phys. Rev. Lett. 99, 161602 (2007).
69. S. Catterall and T. Wiseman, J. High Energy Phys. 12, 104 (2007).
70. K. N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Phys. Rev. Lett. 100, 021601 (2008).
71. M. Hanada, A. Miwa, J. Nishimura and S. Takeuchi, Phys. Rev. Lett. 102, 181602 (2009).
72. M. Hanada, Y. Hyakutake, J. Nishimura and S. Takeuchi, Phys. Rev. Lett. 102, 191602 (2009).
73. S. Catterall and T. Wiseman, J. High Energy Phys. 04, 077 (2010).
74. M. Hanada, J. Nishimura, Y. Sekino and T. Yoneya, Phys. Rev. Lett. 104, 151601 (2010).
75. S. Catterall and G. van Anders, J. High Energy Phys. 1009, 088 (2010), arXiv:1003.4952.
76. G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, Phys. Rev. Lett. 102, 111601 (2009), arXiv:0810.2884.
77. G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, J. High Energy Phys. 09, 029 (2009).
78. S. Catterall, A. Joseph and T. Wiseman, Gauge theory duals of black hole - black string transitions of gravitational theories on a circle, arXiv:1009.0529.
79. S. Catterall, A. Joseph and T. Wiseman, J. High Energy Phys. 1012, 022 (2010), arXiv:1008.4964.
80. O. Aharony, J. Marsano, S. Minwalla and T. Wiseman, Class. Quantum Grav. 21, 5169 (2004).
81. O. Aharony et al., J. High Energy Phys. 01, 140 (2006).
82. R. Gregory and R. Laflamme, Phys. Rev. Lett. 70, 2837 (1993).
83. R. Gregory and R. Laflamme, Nucl. Phys. B 428, 399 (1994).
84. L. Susskind, Matrix theory black holes and the Gross Witten transition, arXiv:hepth/ 9805115.
85. M. Li, E. J. Martinec and V. Sahakian, Phys. Rev. D 59, 044035 (1999).
86. E. J. Martinec and V. Sahakian, Phys. Rev. D 59, 124005 (1999).
87. B. Kol, J. High Energy Phys. 10, 049 (2005).
88. T. Harmark and N. A. Obers, J. High Energy Phys. 09, 022 (2004).
89. T. Harmark and N. A. Obers, Fortschr. Phys. 53, 536 (2005).
90. H. Kudoh and T. Wiseman, Progr. Theor. Phys. 111, 475 (2004).
91. H. Kudoh and T. Wiseman, Phys. Rev. Lett. 94, 161102 (2005).
92. M. Headrick, S. Kitchen and T. Wiseman, Class. Quantum Grav. 27, 035002 (2010).