# Two Dimensional Super QCD on a Lattice

## Abstract

We construct a lattice theory with one exact supersymmetry which consists of fields transforming in both the adjoint and fundamental representations of a U(Nc) gauge group. In addition to gluons and gluinos, the theory contains Nf flavors of fermion in the fundamental representation along with their scalar partners and is invariant under a global U(Nf) flavor symmetry. The lattice action contains an additional Fayet-Iliopoulos term which can be used to generate a scalar potential. We perform numerical simulations that corroborate the theoretical expectation that supersymmetry is spontaneously broken for Nf

- Authors:

- Syracuse U.
- Fermilab

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1423246

- Report Number(s):
- FERMILAB-CONF-17-431-T; arXiv:1710.01762

1628815

- DOE Contract Number:
- AC02-07CH11359

- Resource Type:
- Conference

- Resource Relation:
- Conference: 35th International Symposium on Lattice Field Theory, Granada, Spain, 06/18-06/24/2017

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Catterall, Simon, and Veernala, Aarti.
```*Two Dimensional Super QCD on a Lattice*. United States: N. p., 2017.
Web.

```
Catterall, Simon, & Veernala, Aarti.
```*Two Dimensional Super QCD on a Lattice*. United States.

```
Catterall, Simon, and Veernala, Aarti. Wed .
"Two Dimensional Super QCD on a Lattice". United States.
doi:. https://www.osti.gov/servlets/purl/1423246.
```

```
@article{osti_1423246,
```

title = {Two Dimensional Super QCD on a Lattice},

author = {Catterall, Simon and Veernala, Aarti},

abstractNote = {We construct a lattice theory with one exact supersymmetry which consists of fields transforming in both the adjoint and fundamental representations of a U(Nc) gauge group. In addition to gluons and gluinos, the theory contains Nf flavors of fermion in the fundamental representation along with their scalar partners and is invariant under a global U(Nf) flavor symmetry. The lattice action contains an additional Fayet-Iliopoulos term which can be used to generate a scalar potential. We perform numerical simulations that corroborate the theoretical expectation that supersymmetry is spontaneously broken for Nf},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Oct 04 00:00:00 EDT 2017},

month = {Wed Oct 04 00:00:00 EDT 2017}

}

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