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arXiv · 1705.05865

Genus Two Modular Bootstrap

Minjae Cho·Scott Collier·Xi Yin
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Abstract

We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a Z3-invariant Riemann surface that is a three-fold cover of the Riemann sphere branched at four points, and explore constraints from genus two modular invariance and unitarity. In particular, we find 'critical surfaces' that constrain the structure constants of a CFT beyond what is accessible via the crossing equation on the sphere.

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Minjae Cho, Scott Collier, Xi Yin. 2018-12-04. Genus Two Modular Bootstrap. https://arxiv.org/abs/1705.05865

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