关于 $c=25$ 时的维拉索罗聚变内核

IF 4.6 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

SciPost Physics Pub Date : 2024-08-22 DOI:10.21468/scipostphys.17.2.058

Sylvain Ribault, Ioannis Tsiares

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引用次数: 0

摘要

我们根据潘列韦六微分方程的连接系数，找到了在 $c=25$ 时的维拉索罗融合核的计算公式。我们的公式与之前已知的核的积分表示在数值上一致。我们公式的推导依赖于融合核与模态核的移位方程所服从的$c\to 26-c$对偶性。我们猜想，对于 $c<1$，融合核和模块核不是光滑函数，而是分布。

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On the Virasoro fusion kernel at $c=25$

We find a formula for the Virasoro fusion kernel at $c=25$, in terms of the connection coefficients of the Painlevé VI differential equation. Our formula agrees numerically with previously known integral representations of the kernel. The derivation of our formula relies on a duality $c\to 26-c$ that is obeyed by the shift equations for the fusion and modular kernels. We conjecture that for $c<1$ the fusion and modular kernels are not smooth functions, but distributions.

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来源期刊

SciPost Physics Physics and Astronomy-Physics and Astronomy (all)

CiteScore

8.20

自引率

12.70%

发文量

315

审稿时长

10 weeks

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