# Supersymmetric vertex models with domain wall boundary conditions

## Abstract

By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the gl(1 vertical bar 1) and gl(2 vertical bar 1) supersymmetric vertex models with domain wall boundary conditions. In the homogeneous limit, these determinants degenerate to simple functions.

- Authors:

- Department of Mathematics, University of Queensland, Brisbane, QLD 4072 (Australia)
- (Australia) and Physikalisches Institut, Universitaet Bonn, D-53115 Bonn (Germany)

- Publication Date:

- OSTI Identifier:
- 20929641

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 2; Other Information: DOI: 10.1063/1.2436986; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; DOMAIN STRUCTURE; LIE GROUPS; PARTITION FUNCTIONS; SUPERSYMMETRY

### Citation Formats

```
Zhao Shaoyou, Zhang Yaozhong, and Department of Mathematics, University of Queensland, Brisbane, QLD 4072.
```*Supersymmetric vertex models with domain wall boundary conditions*. United States: N. p., 2007.
Web. doi:10.1063/1.2436986.

```
Zhao Shaoyou, Zhang Yaozhong, & Department of Mathematics, University of Queensland, Brisbane, QLD 4072.
```*Supersymmetric vertex models with domain wall boundary conditions*. United States. doi:10.1063/1.2436986.

```
Zhao Shaoyou, Zhang Yaozhong, and Department of Mathematics, University of Queensland, Brisbane, QLD 4072. Thu .
"Supersymmetric vertex models with domain wall boundary conditions". United States.
doi:10.1063/1.2436986.
```

```
@article{osti_20929641,
```

title = {Supersymmetric vertex models with domain wall boundary conditions},

author = {Zhao Shaoyou and Zhang Yaozhong and Department of Mathematics, University of Queensland, Brisbane, QLD 4072},

abstractNote = {By means of the Drinfeld twists, we derive the determinant representations of the partition functions for the gl(1 vertical bar 1) and gl(2 vertical bar 1) supersymmetric vertex models with domain wall boundary conditions. In the homogeneous limit, these determinants degenerate to simple functions.},

doi = {10.1063/1.2436986},

journal = {Journal of Mathematical Physics},

number = 2,

volume = 48,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}

DOI: 10.1063/1.2436986

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