Counting domain walls in N=1 super Yang-Mills theory

Physical Review D

Volumn 66, Issue 6, 2002, Pages

  Ritz, Adam ^a   Shifman, Mikhail ^b   Vainshtein, Arkady ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; PHYSICS; THEORY; VACUUM;

EID: 0037105315     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.065015     Document Type: Article

References (79)

1. E. Witten, Nucl. Phys. B202, 253 (1982).
2. G. Veneziano and S. Yankielowicz, Phys. Lett. 113B, 231 (1982).
3. I. Affleck, M. Dine, and N. Seiberg, Phys. Rev. Lett. 51, 1026 (1983);
4. Nucl. Phys. B241, 493 (1984).
5. V.A. Novikov, M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. B260, 157 (1985);
6. Yad. Fiz. 42, 1499 (1985).
7. M.A. Shifman and A.I. Vainshtein, Nucl. Phys. B296, 445 (1988).
8. G. Dvali and M. Shifman, Phys. Lett. B 396, 64 (1997);
9. G. Dvali and M. Shifman, Phys. Lett. B, ibid, 407, 452E (1997).
10. A. Kovner, M. Shifman, and A. Smilga, Phys. Rev. D 56, 7978 (1997).
11. B. Chibisov and M. Shifman, Phys. Rev. D 56, 7990 (1997);
12. B. Chibisov and M. Shifman, Phys. Rev. D, ibid, 58, 109901 E (1997).
13. S. Cecotti, P. Fendley, K.A. Intriligator, and C. Vafa, Nucl. Phys. B386, 405 (1992).
14. P. Fendley and K.A. Intriligator, Nucl. Phys. B372, 533 (1992).
15. S. Cecotti and C. Vafa, Commun. Math. Phys. 158, 569 (1993).
16. A. Smilga and A. Veselov, Phys. Rev. Lett. 79, 4529 (1997);
17. Nucl. Phys. B515, 163 (1998);
18. Phys. Lett. B 428, 303 (1998);
19. I.I. Kogan, A. Kovner, and M.A. Shifman, Phys. Rev. D 57, 5195 (1998);
20. D. Binosi and T. ter Veldhuis, Phys. Rev. D, ibid. 63, 085016 (2001).
21. V.S. Kaplunovsky, J. Sonnenschein, and S. Yankielowicz, Nucl. Phys. B552, 209 (1999);
22. Y. Artstein, V.S. Kaplunovsky, and J. Sonnenschein, J. High Energy Phys. 02, 040 (2001).
23. G.R. Dvali and Z. Kakushadze, Nucl. Phys. B537, 297 (1999);
24. G.R. Dvali, G. Gabadadze, and Z. Kakushadze, Nucl. Phys., ibid. B562, 158 (1999).
25. A.V. Smilga, Phys. Rev. D 58, 065005 (1998).
26. B. de Carlos and J.M. Moreno, Phys. Rev. Lett. 83, 2120 (1999).
27. B. de Carlos, M.B. Hindmarsh, N. McNair, and J.M. Moreno, Nucl. Phys. B (Proc. Suppl.) 101, 330 (2001).
28. B. de Carlos, M.B. Hindmarsh, N. McNair, and J.M. Moreno, J. High Energy Phys. 08, 056 (2001).
29. A.V. Smilga, Phys. Rev. D 64, 125008 (2001).
30. C. Vafa, J. Math. Phys. 42, 2798 (2001).
31. B.S. Acharya, "On realising N=1 super Yang-Mills in M theory," hep-th/0011089;
32. "Confining strings from G(2)-holonomy spacetimes," hep-th/0101206.
33. M. Atiyah, J.M. Maldacena, and C. Vafa, J. Math. Phys. 42, 3209 (2001).
34. B. Acharya and C. Vafa, "On domain walls of N = 1 super-symmetric Yang-Mills in four dimensions," hep-th/0103011.
35. M. Atiyah and E. Witten, "M-theory dynamics on a manifold of G (2) holonomy," hep-th/0107177.
36. F. Cachazo, K.A. Intriligator, and C. Vafa, Nucl. Phys. B603, 3 (2001);
37. F. Cachazo, B. Fiol, K.A. Intriligator, S. Katz, and C. Vafa, Nucl. Phys., ibid. B628, 3 (2002).
38. K. Dasgupta, K. Oh, and R. Tatar, Nucl. Phys. B610, 331 (2001);
39. "Open/closed string dualities and Seiberg duality from geometric transitions in M-theory," hep-th/0106040;
40. A. Giveon, A. Kehagias, and H. Partouche, J. High Energy Phys. 12, 021 (2001).
41. S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982);
42. Ann. Phys. (N.Y.) 140, 372 (1982);
43. Ann. Phys., ibid, 185, 406 E (1988);
44. Ann. Phys., ibid, 281, 409 (2000);
45. Y.I. Kogan and A.Y. Morozov, Zh. Éksp. Teor. Fiz. 88, 3 (1985)
46. [Sov. Phys. JETP 61, 1 (1985)].
47. For a review, see G.V. Dunne, in Topological Aspects of Low Dimensional Systems, Proceedings of the Les Houches Summer School, Session LXIX, edited by A. Comtet et al., NATO Advanced Study Institute (Springer-Verlag, Berlin, 2000), pp. 177-263, hep-th/9902115.
48. E. Witten, in Quantum Fields and Strings: A Course for Mathematicians, edited by P. Deligne et al. (AMS/IAS, Providence, RI, 1999), Vol. 2 (Sec. 12.3).
49. E. Witten, in The Many Faces of the Superworld, edited by M. Shifman (World Scientific, Singapore, 2000), p. 156, hep-th/9903005.
50. O. Bergman, A. Hanany, A. Karch, and B. Kol, J. High Energy Phys. 10, 036 (1999);
51. K. Ohta, J. High Energy Phys., Ibid. 10, 006 (1999).
52. I. Affieck, J.A. Harvey, and E. Witten, Nucl. Phys. B206, 413 (1982).
53. N. Seiberg and E. Witten, hep-th/9607163.
54. A.M. Polyakov, Nucl. Phys. B120, 429 (1977).
55. S. Katz and C. Vafa, Nucl. Phys. B497, 196 (1997).
56. N.M. Davies, T.J. Hollowood, V.V. Khoze, and M.P. Mattis, Nucl. Phys. B559, 123 (1999);
57. N.M. Davies, T.J. Hollowood, and V.V. Khoze, "Monopoles, affine algebras and the gluino condensate," hep-th/0006011.
58. A. Ritz, in Proceedings of Continuous Advances in QCD 2000, edited by M. Voloshin (World Scientific, Singapore, 2001), p. 51.
59. K. Hori, A. Iqbal, and C. Vafa, "D-branes and mirror symmetry," hep-th/0005247.
60. N. Seiberg, Phys. Rev. D 49, 6857 (1994).
61. K. Konishi, Phys. Lett. 135B, 439 (1984).
62. M.A. Shifman and A.I. Vainshtein, in ITEP Lectures in Particle Physics and Field Theory, edited by M. Shifman (World Scientific, Singapore, 1999), Vol. 2, p. 485, hep-th/9902018.
63. P. Fendley, S.D. Mathur, C. Vafa, and N.P. Warner, Phys. Lett. B 243, 257 (1990).
64. E.R. Abraham and P.K. Townsend, Nucl. Phys. B351, 313 (1991).
65. P. Candelas and X.C. de la Ossa, Nucl. Phys. B342, 246 (1990).
66. R. Minasian and D. Tsimpis, Nucl. Phys. B572, 499 (2000);
67. K. Ohta and T. Yokono, J. High Energy Phys. 02, 023 (2000).
68. M.B. Stenzel, Manuscr. Math. 80, 151 (1993).
69. M. Cvetič, G.W. Gibbons, H. Lu, and C.N. Pope, hep-th/0012011;
70. Nucl. Phys. B617, 151 (2001).
71. E. Abdalla and F.M. De Carvalho Filho, Int. J. Mod. Phys. A 7, 619 (1992).
72. T. Inami, Y. Saito, and M. Yamamoto, Prog. Theor. Phys. 103, 1283 (2000).
73. E. Witten, Nucl. Phys. B460, 335 (1996).
74. E. Witten, Nucl. Phys. B403, 159 (1993).
75. E. Witten, in Proceedings of Geometry, Topology, and Physics (Cambridge University Press, Cambridge, England, 1993), p. 357.
76. D. Tong, Phys. Rev. D 66, 025013 (2002).
77. N.S. Manton, Phys. Rev. Lett. 60, 1916 (1988).
78. E. Witten, Nucl. Phys. B507, 658 (1997).
79. A. Ritz, M. Shifman, and A. Vainshtein (work in progress).