Lattice formulation of (2,2) supersymmetric gauge theories with matter fields

Journal of High Energy Physics

Volumn 2006, Issue 10, 2006, Pages

  Endres, Michael G ^a   Kaplan, David B ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

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

Indexed keywords

EID: 33846145410     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/10/076     Document Type: Review

References (35)

1. S. Catterall, Dirac-Kaehler fermions and exact lattice supersymmetry PoS(LAT2005)006 [hep-lat/0509136]
2. A. Feo, Supersymmetry on the lattice 2003 Nucl. Phys. (Proc. Suppl.) 119 198 [hep-lat/0210015]
3. J.W. Elliott and G.D. Moore, Three dimensional N = 2 supersymmetry on the lattice PoS(LAT2005)245 [hep-lat/0509032]
4. J. Giedt, Deconstruction and other approaches to supersymmetric lattice field theories 2006 Int. J. Mod. Phys. A 21 3039 [hep-lat/0602007]
5. J.M. Rabin, Homology theory of lattice fermion doubling 1982 Nucl. Phys. B 201 315
6. P. Becher and H. Joos, The Dirac-Kahler equation and fermions on the lattice 1982 Z. Physik C 15 343
7. 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]
8. S. Catterall and S. Karamov, A two-dimensional lattice model with exact supersymmetry 2002 Nucl. Phys. (Proc. Suppl.) 106 935 [hep-lat/0110071]
9. S. Catterall and S. Ghadab, Lattice sigma models with exact supersymmetry 2004 J. High Energy Phys. JHEP05(2004)044 [hep-lat/0311042]
10. S. Catterall, Lattice supersymmetry and topological field theory 2003 J. High Energy Phys. JHEP05(2003)038 [hep-lat/0301028]
11. F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry 2004 J. High Energy Phys. JHEP01(2004)015 [hep-lat/0311021]
12. 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]
13. J. Giedt, R-symmetry in the q-exact (2,2) 2d lattice Wess-Zumino model 2005 Nucl. Phys. B 726 210 [hep-lat/0507016]
14. S. Catterall, Lattice formulation of N = 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP06(2005)027 [hep-lat/0503036]
15. S. Catterall, Simulations of N = 2 super Yang-Mills theory in two dimensions 2006 J. High Energy Phys. JHEP03(2006)032 [hep-lat/0602004]
16. 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]
17. S. Elitzur, E. Rabinovici and A. Schwimmer, Supersymmetric models on the lattice 1982 Phys. Lett. B 119 165
18. N. Kawamoto and T. Tsukioka, N = 2 supersymmetric model with Dirac-Kaehler fermions from generalized gauge theory in two dimensions 2000 Phys. Rev. D 61 105009 [hep-th/9905222]
19. J. Kato, N. Kawamoto and Y. Uchida, Twisted superspace for n = D = 2 super bf and Yang-Mills with Dirac-Kaehler fermion mechanism 2004 Int. J. Mod. Phys. A 19 2149 [hep-th/0310242]
20. A. D'Adda, I. Kanamori, N. Kawamoto and K. Nagata, Twisted superspace on a lattice 2005 Nucl. Phys. B 707 100 [hep-lat/0406029]
21. J. Kato, N. Kawamoto and A. Miyake, N = 4 twisted superspace from Dirac-Kaehler twist and off- shell SUSY invariant actions in four dimensions 2005 Nucl. Phys. B 721 229 [hep-th/0502119]
22. 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]
23. F. Bruckmann and M. de Kok, Noncommutativity approach to supersymmetry on the lattice: SUSY quantum mechanics and an inconsistency 2006 Phys. Rev. D 73 074511 [hep-lat/0603003]
24. 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]
25. D.B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a spatial lattice 2003 J. High Energy Phys. JHEP05(2003)037 [hep-lat/0206019]
26. 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]
27. 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]
28. J. Giedt, E. Poppitz and M. Rozali, Deconstruction, lattice supersymmetry, anomalies and branes 2003 J. High Energy Phys. JHEP03(2003)035 [hep-th/0301048]
29. J. Giedt, Non-positive fermion determinants in lattice supersymmetry 2003 Nucl. Phys. B 668 138 [hep-lat/0304006]
30. J. Giedt and E. Poppitz, Lattice supersymmetry, superfields and renormalization 2004 J. High Energy Phys. JHEP09(2004)029 [hep-th/0407135]
31. 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]
32. N. Arkani-Hamed, A.G. Cohen and H. Georgi, (de)constructing dimensions 2001 Phys. Rev. Lett. 86 4757 [hep-th/0104005]
33. M. Unsal, Twisted supersymmetric gauge theories and orbifold lattices [hep-th/0603046]
34. E. Witten, Phases of N = 2 theories in two dimensions 1993 Nucl. Phys. B 403 159 [hep-th/9301042]
35. J. Wess and J. Bagger, Supersymmetry and supergravity Princeton, U.S.A. Univ. Pr. (1992) 259