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Lifting flat directions in lattice supersymmetry · Around 2015
Lifting flat directions in lattice supersymmetry Catterall, Simon, Schaich, David
Understand We present a procedure to improve the lattice definition of $\mathcal N = 4$ supersymmetric Yang--Mills theory.
The lattice construction necessarily involves U(1) flat directions, and we show how these can be lifted without violating the exact lattice supersymmetry. The basic idea is to modify the equations of motion of an auxiliary field, which determine the moduli space of the system. Applied to numerical calculations, the resulting improved lattice action leads to dramatically reduced violations of supersymmetric Ward identities and much more rapid approach to the continuum limit.
Built on D. B. Kaplan and M. Ünsal, “A Euclidean lattice construction of supersymmetric Yang–Mills theories with sixteen supercharges”, JHEP
2005
Earlier work this paper cites.
M. Ünsal, “Twisted supersymmetric gauge theories and orbifold lattices”, JHEP
2006
Earlier work this paper cites.
S. Catterall, “From Twisted Supersymmetry to Orbifold Lattices”, JHEP
Original
2008
Earlier work this paper cites.
P. H. Damgaard and S. Matsuura, “Geometry of Orbifolded Supersymmetric Lattice Gauge Theories”, Phys. Lett
Original
2008
Earlier work this paper cites.
T. Ishii, G. Ishiki, S. Shimasaki and A. Tsuchiya, “ 𝒩 = 4 \mathcal{N}=4 Super Yang–Mills from the Plane Wave Matrix Model”, Phys. Rev
Original
2008
Earlier work this paper cites.
S. Catterall, D. B. Kaplan and M. Ünsal, “Exact lattice supersymmetry”, Phys. Rept
Original
2009
Earlier work this paper cites.
G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Deconfinement phase transition in 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory on R × S 3 R\times S^{3} from supersymmetric matrix quantum mechanics”, Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
Similar G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Testing a novel large-N reduction for 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory on R × S 3 R\times S^{3} ”, JHEP
Original
2009
Cited alongside, same era.
S. Catterall, E. Dzienkowski, J. Giedt, A. Joseph and R. Wells, “Perturbative renormalization of lattice 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory”, JHEP
Original
2011
Cited alongside, same era.
M. Hanada, S. Matsuura and F. Sugino, “Two-dimensional lattice for four-dimensional 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills”, Prog. Theor. Phys
Original
2011
Cited alongside, same era.
M. Honda, G. Ishiki, J. Nishimura and A. Tsuchiya, “Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in 4d 𝒩 = 4 \mathcal{N}=4 super-Yang–Mills theory”, PoS
Original
2011
Cited alongside, same era.
Then M. Honda, G. Ishiki, S.-W. Kim, J. Nishimura and A. Tsuchiya, “Direct test of the AdS/CFT correspondence by Monte Carlo studies of 𝒩 = 4 \mathcal{N}=4 super Yang–Mills theory”, JHEP
Original
2013
Later among the works it cites.
S. Catterall, D. Schaich, P. H. Damgaard, T. DeGrand and J. Giedt, “ 𝒩 = 4 \mathcal{N}=4 Supersymmetry on a Space-Time Lattice”, Phys. Rev
Original
2014
Later among the works it cites.
S. Catterall and J. Giedt, “Real space renormalization group for twisted lattice 𝒩 = 4 \mathcal{N}=4 super Yang–Mills”, JHEP
Original
2014
Later among the works it cites.
S. Catterall, J. Giedt, D. Schaich, P. H. Damgaard and T. DeGrand, “Results from lattice simulations of 𝒩 = 4 \mathcal{N}=4 supersymmetric Yang–Mills”, PoS
Original
2014
Later among the works it cites.
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Cited alongside, same era.
M. Hanada, Y. Hyakutake, G. Ishiki and J. Nishimura, “Holographic description of quantum black hole on a computer”, Science
Later among the works it cites.