Modular orbits at higher genus
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Publication:2188622
DOI10.1007/JHEP02(2020)113zbMATH Open1435.81189arXiv1911.06306OpenAlexW3008340121MaRDI QIDQ2188622
Author name not available (Why is that?)
Publication date: 11 June 2020
Published in: (Search for Journal in Brave)
Abstract: We extend the modular orbits method of constructing a two-dimensional orbifold conformal field theory to higher genus Riemann surfaces. We find that partition functions on surfaces of arbitrary genus can be constructed by a straightforward generalization of the rules that one would apply to the torus. We demonstrate how one can use these higher genus objects to compute correlation functions and OPE coefficients in the underlying theory. In the case of orbifolds of free bosonic theories by subgroups of continuous symmetries, we can give the explicit results of our procedure for symmetric and asymmetric orbifolds by cyclic groups.
Full work available at URL: https://arxiv.org/abs/1911.06306
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