# Exact extended supersymmetry on a lattice: Twisted N=2 super-Yang–Mills in two dimensions

@article{DAdda2006ExactES,
title={Exact extended supersymmetry on a lattice: Twisted N=2 super-Yang–Mills in two dimensions},
author={Alessandro D’Adda and Issaku Kanamori and Noboru Kawamoto and Kazuhiro Nagata},
journal={Physics Letters B},
year={2006},
volume={633},
pages={645-652}
}
• Published 21 July 2005
• Physics
• Physics Letters B
124 Citations

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## References

SHOWING 1-10 OF 91 REFERENCES

### N = 1 super Yang-Mills theory on a ( 3 + 1 ) dimensional transverse lattice with one exact supersymmetry

• Physics
• 2003
We formulate N=1 super Yang-Mills theory in 3+1 dimensions on a two dimensional transverse lattice using supersymmetric discrete light-cone quantization in the large-N{sub c} limit. This formulation

### A geometrical approach to N = 2 super Yang-Mills theory on the two dimensional lattice

We propose a discretization of two dimensional Euclidean Yang-Mills theories with N = 2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach

### Exact Lattice Supersymmetry: the Two-Dimensional N = 2 Wess-Zumino Model

• Physics
• 2002
We study the two-dimensional Wess-Zumino model with extended $N=2$ supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving exactly a single supersymmetric

### Two dimensional Script N = (2,2) super Yang-Mills theory on the lattice via dimensional reduction

• Physics
• 2005
The = (2,2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic

### Various super Yang-Mills theories with exact supersymmetry on the lattice

We continue to construct lattice super Yang-Mills theories along the line discussed in the previous papers [1,2]. In our construction of = 2, 4 theories in four dimensions, the problem of degenerate

### Twisted Superspace for N=D=2 Super BF and Yang-Mills with DIRAC-KÄHLER Fermion Mechanism

• Physics
• 2004
We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudoscalar super charges and the N=2 spinor super charges is

### Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry

We construct super Yang-Mills theories with = 2,4 supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paper [1], the

### Lattice Formulation of {\cal N}=4 Super Yang-Mills Theory

We construct a lattice action for ${\cal N}=4$ super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our

### Twisted supersymmetric sigma model on the lattice

• Physics
• 2006
In this paper we conduct a numerical study of the supersymmetric O(3) non-linear sigma model. The lattice formulation we employ was derived in [1] and corresponds to a discretization of a twisted