Conformal field theory, solitons, and elliptic Calogero--Sutherland models
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913668887740416 |
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| author | Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan |
| author_facet | Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11658 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Conformal field theory, solitons, and elliptic Calogero--Sutherland models Berntson, Bjorn K. Langmann, Edwin Lenells, Jonatan Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems 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. |
| title | Conformal field theory, solitons, and elliptic Calogero--Sutherland models |
| topic | Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2302.11658 |