A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges

Journal of High Energy Physics

Volumn , Issue 9, 2005, Pages 1075-1122

  Kaplan, David B ^a   Ünsal, Mithat ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b Boston University   (United States)

Author keywords

Extended Supersymmetry; Field Theories in Lower Dimensions; Lattice Gauge Field Theories

Indexed keywords

EID: 26044436835     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/09/042     Document Type: Article

References (43)

1. E. Witten and D.I. Olive, Supersymmetry algebras that include topological charges 1978 Phys. Lett. B 78 97
2. H. Osborn, Topological charges for N ≤ 4 supersymmetric gauge theories and monopoles of spin 1 1979 Phys. Lett. B 83 321
3. C. Montonen and D.I. Olive, Magnetic monopoles as gauge particles? 1977 Phys. Lett. B 72 117
4. P. Goddard, J. Nuyts and D.I. Olive, Gauge theories and magnetic charge 1977 Nucl. Phys. B 125 1
5. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
6. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
7. E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
8. N. Seiberg, Notes on theories with 16 supercharges 1998 Nucl. Phys. (Proc. Suppl.) 67 158 [hep-th/9705117]
9. T. Banks, W. Fischler, S.H. Shenker and L. Susskind, M-theory as a matrix model: a conjecture 1997 Phys. Rev. D 55 5112 [hep-th/9610043]
10. 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]
11. D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a spatial lattice 2003 J. High Energy Phys. JHEP05(2003)037 [hep-lat/0206019]
12. A.G. Cohen, D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a euclidean spacetime lattice, I. A target theory with four supercharges 2003 J. High Energy Phys. JHEP08(2003)024 [hep-lat/0302017]
13. A.G. Cohen, D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a euclidean spacetime lattice, II. Target theories with eight supercharges 2003 J. High Energy Phys. JHEP12(2003)031 [hep-lat/0307012]
14. D.B. Kaplan, Recent developments in lattice supersymmetry 2004 Nucl. Phys. (Proc. Suppl.) 129 109 [hep-lat/0309099]
15. D.B. Kaplan, Lattice supersymmetry, lectures at EU IHP, Workshop on fermion actions and chiral symmetry October, 16-19, 2002.
16. D.B. Kaplan, Lattice supersymmetry, seminars at Princeton, Rutgers, MIT, and Stanford, 2002, November 4-21
17. T. Banks and P. Windey, Supersymmetric lattice theories 1982 Nucl. Phys. B 198 226
18. S. Catterall and S. Karamov, Exact lattice supersymmetry: the two-dimensional N ≤ 2 Wess-Zumino model 2002 Phys. Rev. D 65 094501 [hep-lat/0108024]
19. S. Catterall and S. Karamov, A two-dimensional lattice model with exact supersymmetry 2002 Nucl. Phys. (Proc. Suppl.) 106 935 [hep-lat/0110071]
20. S. Catterall and S. Ghadab, Lattice sigma models with exact supersymmetry 2004 J. High Energy Phys. JHEP05(2004)044 [hep-lat/0311042]
21. S. Catterall, Lattice supersymmetry and topological field theory 2003 J. High Energy Phys. JHEP05(2003)038 [hep-lat/0301028]
22. F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry 2004 J. High Energy Phys. JHEP01(2004)015 [hep-lat/0311021]
23. J. Giedt and E. Poppitz, Lattice supersymmetry, superfields and renormalization 2004 J. High Energy Phys. JHEP09(2004)029 [hep-th/0407135]
24. F. Sugino, Various super Yang-Mills theories with exact supersymmetry on the lattice 2005 J. High Energy Phys. JHEP01(2005)016 [hep-lat/0410035]
25. S. Catterall, A geometrical approach to N ≤ 2 super Yang-Mills theory on the two dimensional lattice 2004 J. High Energy Phys. JHEP11(2004)006 [hep-lat/0410052]
26. M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons [hep-th/9603167]
27. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (de)constructing dimensions 2001 Phys. Rev. Lett. 86 4757 [hep-th/0104005]
28. N. Arkani-Hamed, A.G. Cohen, D.B. Kaplan, A. Karch and L. Motl, Deconstructing (2,0) and little string theories 2003 J. High Energy Phys. JHEP01(2003)083 [hep-th/0110146]
29. I. Rothstein and W. Skiba, Mother moose: generating extra dimensions from simple groups at large-N 2002 Phys. Rev. D 65 065002 [hep-th/0109175]
30. J.H. Conway and N.J.A. Sloane, Sphere packings, lattices and groups, 3rd ed. Springer-Verlag, New York, USA, 1991, p. 703, P. Grundlehren der mathematischen Wissenschaften 290
31. E. Witten, Phases of N ≤ 2 theories in two dimensions 1993 Nucl. Phys. B 403 159 [hep-th/9301042]
32. J. Wess and J. Bagger, Supersymmetry and supergravity Univ. Pr., Princeton, USA, 1992, p. 259
33. M.F. Sohnius, Introducing supersymmetry 1985 Phys. Rep. 128 39
34. S. Hellerman, Lattice gauge theories have gravitational duals [hep-th/0207226]
35. W. Krauth, H. Nicolai and M. Staudacher, Monte Carlo approach to M-theory 1998 Phys. Lett. B 431 31 [hep-th/9803117]
36. D.B. Kaplan, A method for simulating chiral fermions on the lattice 1992 Phys. Lett. B 288 342 [hep-lat/9206013]
37. H. Neuberger, Exactly massless quarks on the lattice 1998 Phys. Lett. B 417 141 [hep-lat/9707022]
38. P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice 1982 Phys. Rev. D 25 2649
39. n systems, 1980 Phys. Rev. D 21 1013
40. A. Kapustin and M.J. Strassler, On mirror symmetry in three dimensional abelian gauge theories 1999 J. High Energy Phys. JHEP04(1999)021 [hep-th/9902033]
41. T. Kitao, K. Ohta and N. Ohta, Three-dimensional gauge dynamics from brane configurations with (p,q)-fivebrane 1999 Nucl. Phys. B 539 79 [hep-th/9808111]
42. T. Kitao and N. Ohta, Spectrum of Maxwell- Chern-Simons theory realized on type-IIB brane configurations 2000 Nucl. Phys. B 578 215 [hep-th/9908006]
43. S. Catterall, Lattice formulation of N ≤ 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP06(2005)027 [hep-lat/0503036]