37 citations · 502 across the 60 of their papers we have counts for
61 papers
Convergence of classical conformal blocks
Pietro Menotti
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 work…
Liouville field theory on genus 2 surfaces
Pietro Menotti
Exploiting the generalization of the Weierstrass function to genus given by Komori, we give the exact connection of the related monodromy problem for genus and the cl…
The continuation method and the real analyticity of the accessory parameters: the parabolic case
Pietro Menotti
We give the proof of the real analyticity of the accessory parameters in Liouville field theory as a function of the position of the sources in the case in which in addition to ell…
The continuation method and the real analyticity of the accessory parameters: the general elliptic case
Pietro Menotti
We apply the Le Roy-Poincaré continuation method to prove the real analytic dependence of the accessory parameters on the position of the sources in Liouville theory in presence of…
Real analyticity of accessory parameters
Pietro Menotti
We consider the problem of the real analytic dependence of the accessory parameters of Liouville theory on the moduli of the problem, for general elliptic singularities. We give a…
Torus classical conformal blocks
Pietro Menotti
After deriving the classical Ward identity for the variation of the action under a change of the modulus of the torus we map the problem of the sphere with four sources to the toru…