Riemann surfaces with boundaries and the theory of vertex operator algebras
Quantum Algebra
2007-05-23 v3 High Energy Physics - Theory
Mathematical Physics
Complex Variables
math.MP
Abstract
The connection between Riemann surfaces with boundaries and the theory of vertex operator algebras is discussed in the framework of conformal field theories defined by Kontsevich and Segal and in the framework of their generalizations in open string theory and boundary conformal field theory. We present some results, problems, conjectures, their conceptual implications and meanings in a program to construct these theories from representations of vertex operator algebras.
Keywords
Cite
@article{arxiv.math/0212308,
title = {Riemann surfaces with boundaries and the theory of vertex operator algebras},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:math/0212308},
year = {2007}
}
Comments
26 pages. Final version to appear in Vertex Operator Algebras in Mathematics and Physics, Fields Institute Communications, Amer. Math. Soc., Providence. One more reference is added and some more misprints are corrected