First results from simulations of supersymmetric lattices

Journal of High Energy Physics

Volumn 2009, Issue 1, 2009, Pages

  Catterall, Simon ^a  

^a SYRACUSE UNIVERSITY   (United States)

Author keywords

Extended supersymmetry; Lattice gauge field theories; Supersymmetric gauge theory

Indexed keywords

EID: 63649102579     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/01/040     Document Type: Article

References (36)

1. A.G. Cohen, D.B. Kaplan, E. Katz and M. nsal, Supersymmetry on a Euclidean spacetime lattice. I: a target theory with four supercharges 2003 J. High Energy Phys. JHEP08(2003)024 [hep-lat/0302017]
2. A.G. Cohen, D.B. Kaplan, E. Katz and M. nsal, Supersymmetry on a Euclidean spacetime lattice. II: target theories with eight supercharges 2003 J. High Energy Phys. JHEP12(2003)031 [hep-lat/0307012]
3. D.B. Kaplan and M. nsal, A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges 2005 J. High Energy Phys. JHEP09(2005)042 [hep-lat/0503039]
4. A. Feo, Supersymmetry on the lattice 2003 Nucl. Phys. (Proc. Suppl.) 119 198 [hep-lat/0210015]
5. D.B. Kaplan, Recent developments in lattice supersymmetry 2004 Nucl. Phys. (Proc. Suppl.) 129 109 [hep-lat/0309099]
6. S. Catterall, Dirac-Kähler fermions and exact lattice supersymmetry 2005 PoS(LAT2005)006 [hep-lat/0509136]
7. J. Giedt, Deconstruction and other approaches to supersymmetric lattice field theories 2006 Int. J. Mod. Phys. A 21 3039 [hep-lat/0602007]
8. S. Catterall, From twisted supersymmetry to orbifold lattices 2008 J. High Energy Phys. JHEP01(2008)048 [0712.2532]
9. P.H. Damgaard and S. Matsuura, Relations among supersymmetric lattice gauge theories via orbifolding 2007 J. High Energy Phys. JHEP08(2007)087 [0706.3007]
10. M. nsal, Twisted supersymmetric gauge theories and orbifold lattices 2006 J. High Energy Phys. JHEP10(2006)089 [hep-th/0603046]
11. T. Takimi, Relationship between various supersymmetric lattice models 2007 J. High Energy Phys. JHEP07(2007)010 [0705.3831]
12. P.H. Damgaard and S. Matsuura, Geometry of orbifolded supersymmetric lattice gauge theories 2008 Phys. Lett. B 661 52 [0801.2936]
13. F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry 2004 J. High Energy Phys. JHEP01(2004)015 [hep-lat/0311021]
14. 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]
15. F. Sugino, Various super Yang-Mills theories with exact supersymmetry on the lattice 2005 J. High Energy Phys. JHEP01(2005)016 [hep-lat/0410035]
16. 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]
17. A. D'Adda, I. Kanamori, N. Kawamoto and K. Nagata, Twisted superspace on a lattice 2005 Nucl. Phys. B 707 100 [hep-lat/0406029]
18. J. Kato, N. Kawamoto and Y. Uchida, Twisted superspace for N = D = 2 super BF and Yang-Mills with Dirac-Kähler fermion mechanism 2004 Int. J. Mod. Phys. A 19 2149 [hep-th/0310242]
19. 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]
20. S. Catterall, Lattice formulation of N = 4 super Yang-Mills theory 2005 J. High Energy Phys. JHEP06(2005)027 [hep-lat/0503036]
21. N. Marcus, The other topological twisting of N = 4 Yang-Mills 1995 Nucl. Phys. B 452 331 [hep-th/9506002]
22. A. Kapustin and E. Witten, Electric-magnetic duality and the geometric Langlands program [hep-th/0604151]
23. M.A. Clark, A.D. Kennedy and Z. Sroczynski, Exact 2+1 flavour RHMC simulations 2005 Nucl. Phys. (Proc. Suppl.) 140 835 [hep-lat/0409133]
24. B. Jegerlehner, Krylov space solvers for shifted linear systems [hep-lat/9612014]
25. S. Catterall and T. Wiseman, Gauge-gravity duality - Super Yang-Mills quantum mechanics PoS(LATTICE 2007)051 [0709.3497]
26. S. Catterall and T. Wiseman, Towards lattice simulation of the gauge theory duals to black holes and hot strings 2007 J. High Energy Phys. JHEP12(2007)104 [0706.3518]
27. S. Catterall and T. Wiseman, Black hole thermodynamics from simulations of lattice Yang-Mills theory 2008 Phys. Rev. D 78 041502 [0803.4273]
28. K.N. Anagnostopoulos, M. Hanada, J. Nishimura and S. Takeuchi, Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature 2008 Phys. Rev. Lett. 100 021601 [0707.4454]
29. I. Kanamori, F. Sugino and H. Suzuki, Observing dynamical supersymmetry breaking with euclidean lattice simulations 2008 Prog. Theor. Phys. 119 797 [0711.2132]
30. W. Krauth, H. Nicolai and M. Staudacher, Monte Carlo approach to M-theory 1998 Phys. Lett. B 431 31 [hep-th/9803117]
31. W. Krauth and M. Staudacher, Eigenvalue distributions in Yang-Mills integrals 1999 Phys. Lett. B 453 253 [hep-th/9902113]
32. S. Catterall, Simulations of N = 2 super Yang-Mills theory in two dimensions 2006 J. High Energy Phys. JHEP03(2006)032 [hep-lat/0602004]
33. K. Hori and D. Tong, Aspects of non-Abelian gauge dynamics in two-dimensional N = (2,2) theories 2007 J. High Energy Phys. JHEP05(2007)079 [hep-th/0609032]
34. J. Giedt, The fermion determinant in (4,4) 2D lattice super-Yang-Mills 2003 Nucl. Phys. B 674 259 [hep-lat/0307024]
35. S. Matsuura, Exact vacuum energy of orbifold lattice theories 2007 J. High Energy Phys. JHEP12(2007)048 [0709.4193]
36. S. Catterall and J. Schneible, in preparation