# 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} }

## 124 Citations

### N=D=2 Twisted Super Yang-Mills on a Lattice

- Physics
- 2006

The main purpose of lattice supersymmetry is to give a constructive formulation of supersymmetry which reveals the non-perturbative aspect of supersymmetric models. We are also strongly motivated by…

### Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills

- Physics
- 2007

A lattice formulation of a three dimensional super Yang-Mills model with a twisted N=4 supersymmetry is proposed. The extended supersymmetry algebra of all eight supercharges is fully and exactly…

### Twisted supersymmetries in lattice N = 4 super Yang-Mills theory

- Physics
- 2013

Recently it has been shown how a topologically twisted version of N = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero lattice spacing. The…

### Species doublers as super multiplets in lattice supersymmetry: chiral conditions of Wess-Zumino model for D = N = 2

- Physics
- 2012

A bstractWe propose an algebraic lattice supersymmetry formulation which has an exact supersymmetry on the lattice. We show how lattice version of chiral conditions can be imposed to satisfy an exact…

### Twisted lattice supersymmetry and applications to AdS/CFT

- Physics
- 2010

I review recent approaches to constructing supersymmetric lattice theories focusing in particular on the concept of topological twisting. The latter technique is shown to expose a nilpotent, scalar…

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

- Physics
- 2005

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 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…

### Two-dimensional N = (2 , 2) Lattice Gauge Theories with Matter in Higher Representations

- Physics
- 2014

: We construct two-dimensional N = (2 , 2) supersymmetric gauge theories on a Euclidean spacetime lattice with matter in the two-index symmetric and anti-symmetric representations of SU( N c ) color…

### Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry

- Mathematics
- 2008

A manifestly supersymmetric nonperturbative matrix regularization for a twisted version of N = (8, 8) theory on a curved background (a two-sphere) is constructed. Both continuum and the matrix…

### Supersymmetric Deformations of Type IIB Matrix Model as Matrix Regularization of N=4 SYM

- Mathematics, Physics
- 2005

: We construct a Q = 1 supersymmetry and U (1) 5 global symmetry preserving deformation of the type IIB matrix model. This model, without orbifold projection, serves as a nonperturbative…

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

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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…

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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
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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…