Solving Quantum Integrable Systems by Topological Strings

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Other Title
  • 位相的弦理論で解く量子可解模型
  • イソウテキ ゲン リロン デ トク リョウシ カカイモケイ

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Abstract

<p>It is known that topological string theory is related to integrable systems. This fact allows us to solve an integrable system by using results in the corresponding topological string. We show that the eigenvalue problem for a class of quantum integrable systems, including the relativistic Toda lattice, is indeed solved by the topological strings. It turns out that the obtained quantization conditions have a non-trivial strong-weak duality with respect to the Planck constant.</p>

Journal

  • Butsuri

    Butsuri 71 (11), 752-756, 2016

    The Physical Society of Japan

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