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Discretization of supersymmetric Yang--Mills (SYM) theories is an old problem in lattice field theory.
S. Elitzur, E. Rabinovici, A. Schwimmer, “Supersymmetric Models On The Lattice,” Phys. Lett. B119
1982
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J. M. Rabin, “Homology Theory Of Lattice Fermion Doubling,” Nucl. Phys. B201
1982
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P. Becher, H. Joos, “The Dirac-Kahler Equation and Fermions on the Lattice,” Z. Phys. C15
1982
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T. Banks, Y. Dothan, D. Horn, “Geometric Fermions,” Phys. Lett. B117
1982
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H. Aratyn, M. Goto, A. H. Zimerman, “A Lattice Gauge Theory For Fields In The Adjoint Representation,” Nuovo Cim. A84
1984
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E. Witten, “Topological Quantum Field Theory,” Commun. Math. Phys. 117
1988
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J. C. Sexton, D. H. Weingarten, “Hamiltonian evolution for the hybrid Monte Carlo algorithm,” Nucl. Phys. B380
1992
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N. Marcus, “The Other topological twisting of N=4 Yang–Mills,” Nucl. Phys. B452
1995
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M. Blau, G. Thompson, “Aspects of N T ≥ 2 N_{T}\geq 2 topological gauge theories and D-Branes,” Nucl. Phys. B492
1997
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D. B. Kaplan, E. Katz, M. Unsal, “Supersymmetry on a spatial lattice,” JHEP 0305
2003
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J. Nishimura, S. -J. Rey, F. Sugino, “Supersymmetry on the noncommutative lattice,” JHEP 0302
2003
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A. G. Cohen, D. B. Kaplan, E. Katz, M. Unsal, “Supersymmetry on a Euclidean space-time lattice. 1. A Target theory with four supercharges,” JHEP 0308
2003
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A. G. Cohen, D. B. Kaplan, E. Katz, M. Unsal, “Supersymmetry on a Euclidean space-time lattice. 2. Target theories with eight supercharges,” JHEP 0312
2003
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F. Sugino, “A Lattice formulation of super Yang–Mills theories with exact supersymmetry,” JHEP 0401
2004
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F. Sugino, “Super Yang–Mills theories on the two-dimensional lattice with exact supersymmetry,” JHEP 0403
2004
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S. Catterall, “A Geometrical approach to N=2 super Yang–Mills theory on the two dimensional lattice,” JHEP 0411
2004
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F. Sugino, “Various super Yang–Mills theories with exact supersymmetry on the lattice,” JHEP 0501
2005
Cited alongside, same era.
S. Catterall, “Lattice formulation of N=4 super Yang–Mills theory,” JHEP 0506
2005
Cited alongside, same era.
D. B. Kaplan, M. Unsal, “A Euclidean lattice construction of supersymmetric Yang–Mills theories with sixteen supercharges,” JHEP 0509
2005
Cited alongside, same era.
A. D’Adda, I. Kanamori, N. Kawamoto, K. Nagata, “Exact extended supersymmetry on a lattice: Twisted N=2 super Yang–Mills in two dimensions,” Phys. Lett. B633
2006
Cited alongside, same era.
S. Catterall, “Dirac-Kahler fermions and exact lattice supersymmetry,” PoS LAT2005
2006
Cited alongside, same era.
S. Catterall, “From Twisted Supersymmetry to Orbifold Lattices,” JHEP 0801
2008
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2008
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2008
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2008
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2006
Cited alongside, same era.
S. Catterall, “Simulations of N=2 super Yang–Mills theory in two dimensions,” JHEP 0603
2006
Cited alongside, same era.
M. Unsal, “Twisted supersymmetric gauge theories and orbifold lattices,” JHEP 0610
2006
Cited alongside, same era.
M. A. Clark, “The Rational Hybrid Monte Carlo Algorithm,” PoS LAT2006
2006
Cited alongside, same era.
S. Catterall, “On the restoration of supersymmetry in twisted two-dimensional lattice Yang–Mills theory,” JHEP 0704
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2007
Cited alongside, same era.
2008
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S. Catterall, “First results from simulations of supersymmetric lattices,” JHEP 0901
2009
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S. Catterall, D. B. Kaplan, M. Unsal, “Exact lattice supersymmetry,” Phys. Rept. 484
2009
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2009
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2009
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J. Giedt, “Progress in four-dimensional lattice supersymmetry,” Int. J. Mod. Phys. A24
2009
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2010
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M. Hanada, “A proposal of a fine tuning free formulation of 4d N = 4 super Yang–Mills,” JHEP 1011
2010
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S. Catterall, “Topological gravity on the lattice,” JHEP 1007
2010
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2011
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2011
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