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Numerical results of two-dimensional N=(2,2) super Yang-Mills theory · Around

2007

Numerical results of two-dimensional N=(2,2) super Yang-Mills theory

Fukaya, Hidenori, Kanamori, Issaku, Suzuki, Hiroshi et al.

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We report the results of a numerical simulation of a lattice formulation of the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and Taniguchi.

We measure the 1-point functions and 2-point functions.
The scenario is that only tuning of the scalar mass to a specific value gives a supersymmetric continuum limit.
Our results are consistent with this scenario although conclusive results on the restoration of supersymmetry have not been obtained.

Built on

H. Suzuki and Y. Taniguchi, Two-dimensional N = (2,2) super Yang-Mills theory on the lattice via dimensional reduction
2005
Earlier work this paper cites.
J. Giedt, Advances and applications of lattice supersymmetry
2006
Earlier work this paper cites.
A. D’Adda, I. Kanamori, N. Kawamoto, and K. Nagata, Exact extended supersymmetry on a lattice: Twisted N = 2 N=2 super Yang-Mills in two dimensions
2006
Earlier work this paper cites.

Similar

T. Takimi, Relationship between various supersymmetric lattice models
2007
Cited alongside, same era.
P. H. Damgaard and S. Matsuura, Classification of supersymmetric lattice gauge theories by orbifolding
2007
Cited alongside, same era.
P. H. Damgaard and S. Matsuura, Relations among supersymmetric lattice gauge theories via orbifolding
Cited in the paper.
A. D’Adda, I. Kanamori, N. Kawamoto, and K. Nagata, Exact extended supersymmetry on a lattice: Twisted N = 4 N=4 super Yang-Mills in three dimensions
Cited in the paper.
H. Suzuki, Two-dimensional 𝒩 = ( 2 , 2 ) \mathcal{N}=(2,2) super Yang-Mills theory on computer
Cited in the paper.

Then

S. Catterall, On the restoration of supersymmetry in twisted two- dimensional lattice Yang-Mills theory
2007
Closest in time.
H. Fukaya, I. Kanamori, H. Suzuki, M. Hayakawa, and T. Takimi, Note on massless bosonic states in two-dimensional field theories
2007
Closest in time.

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