Theta function

Physics

Invariant (physics)

Pure mathematics

Mathematics

Mathematical physics

Biology

Particle physics

Unitarity

Genus

Mathematical analysis

Riemann surface

Riemann sphere

Partition function (quantum field theory)

Botany

Quantum mechanics

Conformal map

Journal of High Energy Physics

A bstract We study the Virasoro conformal block decomposition of the genus two partition function of a two-dimensional CFT by expanding around a ℤ 3 -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.

Genus two modular bootstrap