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}
}

Figures and Tables from this paper

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

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

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

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

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

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

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

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

: 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

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

: 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
...

References

SHOWING 1-10 OF 91 REFERENCES

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

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

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

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

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

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
...