In the beginning of Section 5 in his article, Wentworth mentions a result of Bost and proves it using the spin-1 bosonization formula. This result provides a link between theta functions, canonical Green functions, and Faltings' delta invariant on a compact Riemann surface of positive genus.

Are there any other situations in physics which involve canonical Green functions on compact Riemann surfaces?

In the beginning of Section 5 in his article, Wentworth mentions a result of Bost and proves it using the spin-1 bosonization formula. This result provides a link between theta functions, canonical Green functions, and Faltings' delta invariant on a compact Riemann surface of positive genus.

Are there any other situations in physics which involve canonical Green functions on compact Riemann surfaces?