# Numerical Analysis of Discretized ${\cal N}=(2,2)$ SYM on Polyhedra

@article{Kamata2016NumericalAO, title={Numerical Analysis of Discretized \$\{\cal N\}=(2,2)\$ SYM on Polyhedra}, author={Syo Kamata and So Matsuura and Tatsuhiro Misumi and Kazutoshi Ohta}, journal={arXiv: High Energy Physics - Lattice}, year={2016} }

We perform a numerical simulation of the two-dimensional ${\cal N}=(2,2)$ supersymmetric Yang-Mills (SYM) theory on the discretized curved space. The $U(1)_{A}$ anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phase-quenched (APQ) method", to make the partition function and observables well-defined by $U(1)_{A}$ phase cancellation…

## References

SHOWING 1-10 OF 10 REFERENCES

### Anomaly and sign problem in N = (2, 2) SYM on polyhedra: Numerical analysis

- Computer Science
- 2016

A novel phase-quench method called "anomaly-phase-quenched approximation" with respect to the $U(1)_A$ anomaly is proposed and the Ward-Takahashi (WT) identity associated with the remaining supersymmetry is realized by adopting this approximation.

### Precision test of the gauge/gravity duality in two-dimensional N=(8,8) SYM

- Physics
- 2017

The $\epsilon - p$ is calculated from lattice simulations of two dimensional ${\cal N}=(8,8)$ $SU(N)$ SYM to test the gauge gravity duality. We employ the Sugino action with keeping two of sixteen…

### Topologically twisted N = (2, 2) supersymmetric Yang–Mills theory on an arbitrary discretized Riemann surface

- Physics
- 2014

We define supersymmetric Yang-Mills theory on an arbitrary two-dimensional lattice (polygon decomposition) with preserving one supercharge. When a smooth Riemann surface Σg with genus g emerges as an…

### Latest results from lattice N=4 supersymmetric Yang--Mills

- Physics
- 2016

We present some of the latest results from our numerical investigations of N=4 supersymmetric Yang--Mills theory formulated on a space-time lattice. Based on a construction that exactly preserves a…

### Spectroscopy of two dimensional N=2 Super Yang Mills theory

- Physics
- 2016

Albeit the standard model is the most successful model of particles physics, it still has some theoretical shortcomings, for instance the hierarchy problem, the absence of dark matter, etc.…

### Strings on the lattice and AdS/CFT

- Physics
- 2017

We present a new auxiliary field representation for the four-fermi term of the gauge-fixed Green-Schwarz superstring action which describes fluctuations around the null-cusp background in…

### A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry (〔素粒子論グループ〕SUMMER INSTITUTE 2004)

- Physics
- 2004

We construct super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. Gauge fields are represented by ordinary…

### Simulations of N=1 supersymmetric Yang-Mills theory with three colours

- Physics
- 2016

We report on our recent results regarding numerical simulations of the four dimensional, N=1 Supersymmetric Yang-Mills theory with SU(3) gauge symmetry and light dynamical gluinos.

### Supergravity as a Gauge Theory

- Physics, Geology
- 1988

It is shown that in a certain sense Einstein gravity may be considered as the limit of a Yang-Hills type gauge theory with the anti-de-Sitter group as gauge group. Simple supergravity in four…