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<p>We construct a non-chiral conformal field theory (CFT) on the torus that accommodates a second quantization of the elliptic Calogero–Sutherland (eCS) model. We show that the CFT operator that provides this second quantization defines, at the same time, a quantum version of a soliton equation called the non-chiral intermediate long-wave (ncILW) equation. We also show that this CFT operator is a second quantization of a generalized eCS model which can describe arbitrary numbers of four different kinds of particles; we propose that these particles can be identified with solitons of the quantum ncILW equation.</p>

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Conformal Field Theory, Solitons, and Elliptic Calogero–Sutherland Models

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月11日

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  • Bjorn K. Berntson,
  • Edwin Langmann,
  • Jonatan Lenells

摘要

We construct a non-chiral conformal field theory (CFT) on the torus that accommodates a second quantization of the elliptic Calogero–Sutherland (eCS) model. We show that the CFT operator that provides this second quantization defines, at the same time, a quantum version of a soliton equation called the non-chiral intermediate long-wave (ncILW) equation. We also show that this CFT operator is a second quantization of a generalized eCS model which can describe arbitrary numbers of four different kinds of particles; we propose that these particles can be identified with solitons of the quantum ncILW equation.