Convergence of classical conformal blocks
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909972669923328 |
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| author | Menotti, Pietro |
| author_facet | Menotti, Pietro |
| contents | We give a recursive method to compute the classical conformal blocks
in Liouville field theory. The values of the expansion coefficients
are given by an algebraic scheme which works to all orders. The
algebraic expression of the intervening matrices are explicitly
given. With regard to the problem of the convergence of the series
we rigorously prove that it has a finite (non zero) convergence
radius.
We then comment on the relation of the conformal block problem with
the Riemann-Hilbert problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence of classical conformal blocks Menotti, Pietro High Energy Physics - Theory We give a recursive method to compute the classical conformal blocks in Liouville field theory. The values of the expansion coefficients are given by an algebraic scheme which works to all orders. The algebraic expression of the intervening matrices are explicitly given. With regard to the problem of the convergence of the series we rigorously prove that it has a finite (non zero) convergence radius. We then comment on the relation of the conformal block problem with the Riemann-Hilbert problem. |
| title | Convergence of classical conformal blocks |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.18666 |