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

@article{DAdda2005ExactES, 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={2005}, volume={633}, pages={645-652} }

## 134 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…

### Species doublers as super multiplets in lattice supersymmetry: exact supersymmetry with interactions for D = 1 N = 2

- Physics
- 2010

We propose a new lattice superfield formalism in momentum representation which accommodates species doublers of the lattice fermions and their bosonic counterparts as super multiplets. We explicitly…

### 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…

### Exact Lattice Supersymmetry at Large N

- Physics, Mathematics
- 2008

Employing a novel type of non-commutative product in the Dirac-Kahler twisted superspace on a lattice, we formulate a field theoretically rigid framework of extended supersymmetry on a lattice. This…

### 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…

### On the restoration of supersymmetry in twisted two-dimensional lattice Yang Mills theory

- Physics
- 2007

We study a discretization of = 2 super Yang–Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in…

### 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…

### 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…

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We study a discretization of = 2 super Yang–Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in…

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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

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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…