# An object oriented code for simulating supersymmetric Yang-Mills theories

@article{Catterall2012AnOO, title={An object oriented code for simulating supersymmetric Yang-Mills theories}, author={Simon Catterall and Anosh Joseph}, journal={Comput. Phys. Commun.}, year={2012}, volume={183}, pages={1336-1353} }

## 18 Citations

Supersymmetry on a Lattice

- Physics
- 2015

Attempts to formulate supersymmetric field theories on discrete spacetime lattices have a long history. However, until recently most of these efforts have failed. In this talk I will review some of…

SUPERSYMMETRIC YANG–MILLS THEORIES WITH EXACT SUPERSYMMETRY ON THE LATTICE

- Physics
- 2011

Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric charges of certain classes of extended supersymmetric Yang–Mills (SYM) theories in such a way that…

On the sign problem in 2D lattice super Yang-Mills

- Physics
- 2012

A bstractIn recent years a new class of supersymmetric lattice theories have been proposed which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there has been some…

N = 2 * Yang-Mills on the Lattice

- Physics
- 2018

The N = 2* Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric N = 4 Yang-Mills theory. This theory also takes part in the…

Parallel software for lattice N=4 supersymmetric Yang-Mills theory

- Computer Science, PhysicsComput. Phys. Commun.
- 2015

Loop equation in Lattice gauge theories and bootstrap methods

- Mathematics
- 2018

In principle the loop equation provides a complete formulation of a gauge theory purely in terms ofWilson loops. In the case of lattice gauge theories the loop equation is a well defined equation for…

Topics in Supersymmetry: Implications for Cosmology and Non-Perturbative Studies on a Spacetime Lattice

- Physics
- 2015

Moduli fields, scalar fields which parametrize different vacuum states of a given theory, are commonly predicted to exist within compactifications of UV complete theories, and in particular those…

Perturbative and Non-perturbative Approaches to String Sigma-Models in AdS/CFT

- Physics
- 2017

This thesis discusses quantum aspects of type II superstring theories in AdS5xS5 and AdS4xCP3 backgrounds relevant for the AdS/CFT correspondence, using perturbative methods at large string tension…

Spontaneous supersymmetry breaking in two dimensional lattice super QCD

- Physics
- 2015

A bstractWe report on a non-perturbative study of two dimensional N=22$$ \mathcal{N}=\left(2,2\right) $$ super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice…

## References

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Relations among Supersymmetric Lattice Gauge Theories via Orbifolding

- Physics
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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…

Supersymmetric gauge theories on the lattice: Pfaffian phases and the Neuberger 0/0 problem

- Physics
- 2011

Recently a class of supersymmetric gauge theories have been successfully implemented on the lattice. However, there has been an ongoing debate on whether lattice versions of some of these theories…

SUPERSYMMETRIC YANG–MILLS THEORIES WITH EXACT SUPERSYMMETRY ON THE LATTICE

- Physics
- 2011

Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric charges of certain classes of extended supersymmetric Yang–Mills (SYM) theories in such a way that…

Dirac-Kähler fermions and exact lattice supersymmetry

- Physics
- 2005

We discuss a new approach to putting supersymmetric theories on the lattice. The basic idea is to start from a twisted formulation of the underlying supersymmetric theory in which the fermions are…

On the sign problem in 2D lattice super Yang-Mills

- Physics
- 2012

A bstractIn recent years a new class of supersymmetric lattice theories have been proposed which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there has been some…

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

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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…

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

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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…

Two-Dimensional Lattice for Four-Dimensional N=4 Supersymmetric Yang-Mills

- Physics
- 2011

We construct a lattice formulation of a mass-deformed two-dimensional N = (8, 8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link…

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

- Physics
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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…

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

- Physics, Mathematics
- 2004

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…