# Extensive ground state entropy in supersymmetric lattice models

## Abstract

We present the result of calculations of the Witten index for a supersymmetric lattice model on lattices of various type and size. Because the model remains supersymmetric at finite lattice size, the Witten index can be calculated using row-to-row transfer matrices and the calculations are similar to calculations of the partition function at negative activity -1. The Witten index provides a lower bound on the number of ground states. We find strong numerical evidence that the Witten index grows exponentially with the number of sites of the lattice, implying that the model has extensive entropy in the ground state.

- Authors:

- Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam (Netherlands)

- Publication Date:

- OSTI Identifier:
- 20768695

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 46; Journal Issue: 12; Other Information: DOI: 10.1063/1.2142836; (c) 2005 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; ENTROPY; GROUND STATES; LATTICE FIELD THEORY; PARTITION FUNCTIONS; SUPERSYMMETRY; TRANSFER MATRIX METHOD

### Citation Formats

```
Eerten, Hendrik van.
```*Extensive ground state entropy in supersymmetric lattice models*. United States: N. p., 2005.
Web. doi:10.1063/1.2142836.

```
Eerten, Hendrik van.
```*Extensive ground state entropy in supersymmetric lattice models*. United States. doi:10.1063/1.2142836.

```
Eerten, Hendrik van. Thu .
"Extensive ground state entropy in supersymmetric lattice models". United States.
doi:10.1063/1.2142836.
```

```
@article{osti_20768695,
```

title = {Extensive ground state entropy in supersymmetric lattice models},

author = {Eerten, Hendrik van},

abstractNote = {We present the result of calculations of the Witten index for a supersymmetric lattice model on lattices of various type and size. Because the model remains supersymmetric at finite lattice size, the Witten index can be calculated using row-to-row transfer matrices and the calculations are similar to calculations of the partition function at negative activity -1. The Witten index provides a lower bound on the number of ground states. We find strong numerical evidence that the Witten index grows exponentially with the number of sites of the lattice, implying that the model has extensive entropy in the ground state.},

doi = {10.1063/1.2142836},

journal = {Journal of Mathematical Physics},

number = 12,

volume = 46,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}

DOI: 10.1063/1.2142836

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.