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On Density of State of Quantized Willmore Surface-A Way to Quantized Extrinsic String in R^3

Shigeki Matsutani
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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.

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Shigeki Matsutani. 1997-07-10. On Density of State of Quantized Willmore Surface-A Way to Quantized Extrinsic String in R^3. https://doi.org/10.1088/0305-4470%2F31%2F15%2F021

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