On Density of State of Quantized Willmore Surface-A Way to Quantized Extrinsic String in R^3
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
Recently I quantized an elastica with Bernoulli-Euler functional in two-dimensional space using the modified KdV hierarchy. In this article, I will quantize a Willmore surface, or equivalently a surface with the Polyakov extrinsic curvature action, using the modified Novikov-Veselov (MNV) equation. In other words, I show that the density of state of the partition function for the quantized Willmore surface is expressed by volume of a subspace of the moduli of the MNV equation.
Keywords
Cite
@article{arxiv.solv-int/9707007,
title = {On Density of State of Quantized Willmore Surface-A Way to Quantized Extrinsic String in R^3},
author = {Shigeki Matsutani},
journal= {arXiv preprint arXiv:solv-int/9707007},
year = {2009}
}
Comments
AMS-Tex Use