6-Vertex Model on an Open String Worldsheet

Charles B. Thorn

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arXiv · 1307.3233

6-Vertex Model on an Open String Worldsheet

Charles B. Thorn

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Abstract

We propose boundary conditions on a two dimensional 6-vertex model, which is defined on the lightcone lattice for an open string worldsheet. We show that, in the continuum limit, the degrees of freedom of this 6-vertex model describe a target space coordinate compactified on a circle of radius R, which is related to the vertex weights. This conclusion had already been established for the case of a 6-vertex model on the worldsheet lattice for the propagator of a closed string. This exercise illustrates how the Bethe ansatz works in the presence of boundaries, at least of this particular type.

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BibTeX RIS

Charles B. Thorn. 2013-07-11. 6-Vertex Model on an Open String Worldsheet. https://arxiv.org/abs/1307.3233

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