Compactified imaginary Toda theory
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916044635897856 |
|---|---|
| author | Yao, Yi-An |
| author_facet | Yao, Yi-An |
| contents | Based on the work of Guillarmou, Kupiainen, and Rhodes, we construct compactified imaginary Toda theory on closed Riemann surfaces, extending the rank-one construction to the higher-rank setting. This theory is expected to describe critical higher-rank models with extended symmetries, such as web models. We construct the correlation functions and prove that they satisfy the axioms of conformal field theory, including Segal's gluing axioms. On the Riemann sphere, we express the correlation functions as Dotsenko--Fateev type integrals. In the case $\mathfrak g=\mathfrak{sl}_n$, under a semidegenerate condition, we obtain a closed formula for the three-point structure constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25494 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Compactified imaginary Toda theory Yao, Yi-An Mathematical Physics Probability 81T40, 60G60 Based on the work of Guillarmou, Kupiainen, and Rhodes, we construct compactified imaginary Toda theory on closed Riemann surfaces, extending the rank-one construction to the higher-rank setting. This theory is expected to describe critical higher-rank models with extended symmetries, such as web models. We construct the correlation functions and prove that they satisfy the axioms of conformal field theory, including Segal's gluing axioms. On the Riemann sphere, we express the correlation functions as Dotsenko--Fateev type integrals. In the case $\mathfrak g=\mathfrak{sl}_n$, under a semidegenerate condition, we obtain a closed formula for the three-point structure constant. |
| title | Compactified imaginary Toda theory |
| topic | Mathematical Physics Probability 81T40, 60G60 |
| url | https://arxiv.org/abs/2605.25494 |