Relationship between various supersymmetric lattice models

Journal of High Energy Physics

Volumn 2007, Issue 7, 2007, Pages

  Takimi, Tomohisa ^a  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

Author keywords

Extended supersymmetry; Lattice Gauge field theories; Topological field theories

Indexed keywords

EID: 34547702303     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/07/010     Document Type: Article

References (62)

1. 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]
2. F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry 2004 J. High Energy Phys. JHEP01(2004)015 [hep-lat/0311021]
3. 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]
4. D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a spatial lattice 2003 J. High Energy Phys. JHEP05(2003)037 [hep-lat/0206019]
5. 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]
6. D.B. Kaplan and M. Unsal, A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges 2005 J. High Energy Phys. JHEP09(2005)042 [hep-lat/0503039]
7. M.G. Endres and D.B. Kaplan, Lattice formulation of (2,2) supersymmetric gauge theories with matter fields 2006 J. High Energy Phys. JHEP10(2006)076 [hep-lat/0604012]
8. P.H. Damgaard and S. Matsuura, Classification of supersymmetric lattice gauge theories by orbifolding [0704.2696]
9. F. Sugino, Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry 2004 J. High Energy Phys. JHEP03(2004)067 [hep-lat/0401017]
10. F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry 2005 Nucl. Phys. (Proc. Suppl.) 140 763 [hep-lat/0409036]
11. F. Sugino, Various super Yang-Mills theories with exact supersymmetry on the lattice 2005 J. High Energy Phys. JHEP01(2005)016 [hep-lat/0410035]
12. F. Sugino, Two-dimensional compact n ≤ (2,2) lattice super Yang-Mills theory with exact supersymmetry 2006 Phys. Lett. B 635 218 [hep-lat/0601024]
13. S. Catterall, Lattice formulation of N ≤ 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP06(2005)027 [hep-lat/0503036]
14. S. Catterall, Simulations of N ≤ 2 super Yang-Mills theory in two dimensions 2006 J. High Energy Phys. JHEP03(2006)032 [hep-lat/0602004]
15. 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]
16. S. Catterall, Lattice supersymmetry and topological field theory 2003 J. High Energy Phys. JHEP05(2003)038 [hep-lat/0301028]
17. M. Unsal, Regularization of non-commutative sym by orbifolds with discrete torsion and SL(2,) duality, 2005 J. High Energy Phys. JHEP12(2005)033 [hep-th/0409106]
18. M. Unsal, Supersymmetric deformations of type IIB matrix model as matrix regularization of N ≤ 4 SYM 2006 J. High Energy Phys. JHEP04(2006)002 [hep-th/0510004]
19. J. Giedt, Non-positive fermion determinants in lattice supersymmetry 2003 Nucl. Phys. B 668 138 [hep-lat/0304006]
20. J. Giedt, The fermion determinant in (4,4) 2d lattice Super-Yang-Mills 2003 Nucl. Phys. B 674 259 [hep-lat/0307024]
21. J. Giedt, Deconstruction, 2d lattice Yang-Mills and the dynamical lattice spacing [hep-lat/0312020]
22. J. Giedt, Deconstruction, 2d lattice Super-Yang-Mills and the dynamical lattice spacing [hep-lat/0405021]
23. J. Giedt, Deconstruction and other approaches to supersymmetric lattice field theories 2006 Int. J. Mod. Phys. A 21 3039 [hep-lat/0602007]
24. 2 [hep-lat/0605004]
25. H. Suzuki and Y. Taniguchi, Two-dimensional n ≤ (2,2) Super Yang-Mills theory on the lattice via dimensional reduction 2005 J. High Energy Phys. JHEP10(2005)082 [hep-lat/0507019]
26. A. Feo, Supersymmetry on the lattice 2003 Nucl. Phys. (Proc. Suppl.) 119 198 [hep-lat/0210015]
27. A. Feo, The supersymmetric Ward-Takahashi identity in 1-loop lattice perturbation theory. I: general procedure 2004 Phys. Rev. D 70 054504 [hep-lat/0305020]
28. A. Feo, P. Merlatti and F. Sannino, Information on the Super Yang-Mills spectrum 2004 Phys. Rev. D 70 096004 [hep-th/0408214]
29. A. Feo, Predictions and recent results in SUSY on the lattice 2004 Mod. Phys. Lett. A 19 2387 [hep-lat/0410012]
30. I. Montvay et al., Numerical simulation of supersymmetric yang-mills theory Prepared for NIC Symposium 2001, Julich, Germany, 5-6 Dec 2001
31. K. Fujikawa, Supersymmetry on the lattice and the Leibniz rule 2002 Nucl. Phys. B 636 80 [hep-th/0205095]
32. J.W. Elliott and G.D. Moore, Three dimensional N ≤ 2 supersymmetry on the lattice 2005 PoS(LAT2005)245 [hep-lat/0509032]
33. H. Fukaya, I. Kanamori, H. Suzuki, M. Hayakawa and T. Takimi, Note on massless bosonic states in two-dimensional field theories 2007 Prog. Theor. Phys. 116 1117 [hep-th/0609049]
34. R. Nakayama and Y. Okada, Supercurrent anomaly in lattice gauge theory 1984 Phys. Lett. B 134 241
35. I. Ichinose, Supersymmetric lattice gauge theory 1983 Phys. Lett. B 122 68
36. DESY-Munster-Roma collaboration, F. Farchioni et al., The supersymmetric ward identities on the lattice 2002 Eur. Phys. J. C 23 719 [hep-lat/0111008]
37. D.B. Kaplan and M. Schmaltz, Supersymmetric Yang-Mills theories from domain wall fermions 2000 Chin. J. Phys. 38 543 [hep-lat/0002030]
38. Y. Kikukawa and Y. Nakayama, Nicolai mapping vs. exact chiral symmetry on the lattice 2002 Phys. Rev. D 66 094508 [hep-lat/0207013]
39. K. Itoh, M. Kato, H. Sawanaka, H. So and N. Ukita, Towards the super Yang-Mills theory on the lattice 2002 Prog. Theor. Phys. 108 363 [hep-lat/0112052]
40. G.T. Fleming, J.B. Kogut and P.M. Vranas, Super Yang-Mills on the lattice with domain wall fermions 2001 Phys. Rev. D 64 034510 [hep-lat/0008009]
41. M. Harada and S. Pinsky, N ≤ (1,1) super Yang-Mills on a (2+1) dimensional transverse lattice with one exact supersymmetry 2003 Phys. Lett. B 567 277 [hep-lat/0303027]
42. M. Harada and S. Pinsky, N ≤ 1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry 2005 Phys. Rev. D 71 065013 [hep-lat/0411024]
43. I. Montvay, Supersymmetric Yang-Mills theory on the lattice 2002 Int. J. Mod. Phys. A 17 2377 [hep-lat/0112007]
44. Y. Taniguchi, One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion 2000 Chin. J. Phys. 38 655 [hep-lat/9906026]
45. M. Kato, M. Sakamoto and H. So, Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics 2005 PoS(LAT2005)274 [hep-lat/0509149]
46. K. Itoh, M. Kato, H. Sawanaka, H. So and N. Ukita, Novel approach to super Yang-Mills theory on lattice: exact fermionic symmetry and 'ichimatsu' pattern 2003 J. High Energy Phys. JHEP02(2003)033 [hep-lat/0210049]
47. J. Nishimura, S.-J. Rey and F. Sugino, Supersymmetry on the noncommutative lattice 2003 J. High Energy Phys. JHEP02(2003)032 [hep-lat/0301025]
48. J. Nishimura, Four-dimensional N ≤ 1 supersymmetric Yang-Mills theory on the lattice without fine-tuning 1997 Phys. Lett. B 406 215 [hep-lat/9701013]
49. N. Maru and J. Nishimura, Lattice formulation of supersymmetric Yang-Mills theories without fine-tuning 1998 Int. J. Mod. Phys. A 13 2841 [hep-th/9705152]
50. A. D'Adda, I. Kanamori, N. Kawamoto and K. Nagata, Exact extended supersymmetry on a lattice: twisted N ≤ 2 super Yang-Mills in two dimensions 2006 Phys. Lett. B 633 645 [hep-lat/0507029]
51. F. Bruckmann, S. Catterall and M. de Kok, A critique of the link approach to exact lattice supersymmetry 2007 Phys. Rev. D 75 045016 [hep-lat/0611001]
52. E. Witten, Topological quantum field theory 1988 Comm. Math. Phys. 117 353
53. M. Unsal, Twisted supersymmetric gauge theories and orbifold lattices 2006 J. High Energy Phys. JHEP10(2006)089 [hep-th/0603046]
54. M.R. Douglas and G.W. Moore, D-branes, Quivers and ALE instantons [hep-th/9603167]
55. S. Kachru and E. Silverstein, 4D conformal theories and strings on orbifolds 1998 Phys. Rev. Lett. 80 4855 [hep-th/9802183]
56. 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]
57. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions 2001 Phys. Rev. Lett. 86 4757 [hep-th/0104005]
58. H. Aratyn, M. Goto and A.H. Zimerman, A lattice gauge theory for fields in the adjoint representation 1984 Nuovo Cim. A 84 255
59. J. Wess and J. Bagger, Supersymmetry and supergravity
60. M. Unsal, Compact gauge fields for supersymmetric lattices 2005 J. High Energy Phys. JHEP11(2005)013 [hep-lat/0504016]
61. T. Onogi and T. Takimi, Perturbative study of the supersymmetric lattice theory from matrix model 2005 Phys. Rev. D 72 074504 [hep-lat/0506014]
62. K. Ohta and T. Takimi, Lattice formulation of two dimensional topological field theory 2007 Prog. Theor. Phys. 117 317 [hep-lat/0611011]