2007

Relations among Supersymmetric Lattice Gauge Theories via Orbifolding

Damgaard, Poul H., Matsuura, So

Understand

We show how to derive Catterall's supersymmetric lattice gauge theories directly from the general principle of orbifolding followed by a variant of the usual deconstruction.

These theories are forced to be complexified due to a clash between charge assignments under U(1)-symmetries and lattice assignments in terms of scalar, vector and tensor components for the fermions.
Other prescriptions for how to discretize the theory follow automatically by orbifolding and deconstruction.
We find that Catterall's complexified model for the two-dimensional N=(2,2) theory has two independent preserved supersymmetries.

Built on

E. Witten, Topological Quantum Field Theory
1988
Earlier work this paper cites.
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1991
Earlier work this paper cites.
N. Arkani-Hamed, A. G. Cohen and H. Georgi, (De)constructing dimensions
2001
Earlier work this paper cites.
D. B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a spatial lattice
2003
Earlier work this paper cites.
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
Earlier work this paper cites.
A. G. Cohen, D. B. Kaplan, E. Katz and M. Unsal, Supersymmetry on a Euclidean spacetime lattice. II: Target theories with eight supercharges
2003
Earlier work this paper cites.
S. Catterall, Lattice supersymmetry and topological field theory
2003
Earlier work this paper cites.

Similar

J. Giedt, Non-positive fermion determinants in lattice supersymmetry
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S. Catterall, A geometrical approach to N = 2 super Yang-Mills theory on the two dimensional lattice
2004
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F. Sugino, A lattice formulation of super Yang-Mills theories with exact supersymmetry
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F. Sugino, Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry
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D. B. Kaplan and M. Unsal, A Euclidean lattice construction of supersymmetric Yang- Mills theories with sixteen supercharges
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S. Catterall, Lattice formulation of N = 4 super Yang-Mills theory
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F. Sugino, Various super Yang-Mills theories with exact supersymmetry on the lattice
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P. H. Damgaard and S. Matsuura, Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
Original
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H. Suzuki, Two-dimensional 𝒩 = ( 2 , 2 ) \mathcal{N}=(2,2) super Yang-Mills theory on computer
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T. Takimi, Relationship between various supersymmetric lattice models
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Then

A. D’Adda, I. Kanamori, N. Kawamoto and K. Nagata, Twisted superspace on a lattice
2005
Later among the works it cites.
F. Sugino, Two-dimensional compact N = (2,2) lattice super Yang-Mills theory with exact supersymmetry
2006
Later among the works it cites.
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
Later among the works it cites.
F. Bruckmann and M. de Kok, Noncommutativity approach to supersymmetry on the lattice: SUSY quantum mechanics and an inconsistency
2006
Later among the works it cites.
M. Unsal, Twisted supersymmetric gauge theories and orbifold lattices
2006
Later among the works it cites.
S. Catterall, Simulations of N = 2 super Yang-Mills theory in two dimensions
2006
Later among the works it cites.
F. Bruckmann, S. Catterall and M. de Kok, A critique of the link approach to exact lattice supersymmetry
2007
Closest in time.

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