CFTs on Riemann Surfaces of genus $g\geq 1$
Complex Variables
2013-09-10 v5 Mathematical Physics
Algebraic Geometry
math.MP
Abstract
-point functions of holomorphic fields in conformal field theories can be calculated by methods from algebraic geometry. We establish explicit formulas for the 2-point function of the Virasoro field on hyperelliptic Riemann surfaces of genus . Virasoro -point functions for higher are obtained inductively, and we show that they have a nice graph representation. We discuss the 3-point function with application to the minimal model.
Keywords
Cite
@article{arxiv.1011.1632,
title = {CFTs on Riemann Surfaces of genus $g\geq 1$},
author = {Marianne Leitner},
journal= {arXiv preprint arXiv:1011.1632},
year = {2013}
}
Comments
Published version with minor corrections