2024/12/18 by Saidi, El Hassan, Sammani, Rajae
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2412.13932
We revisit Narain conformal field theories from an algebraic perspective based on finite dimensional Lie algebras g and representations Rg, and show how the root and weight lattices can encode the momenta and subsequently the partition functions of Narain theories. In this framework, we construct a realisation of the Zamolodchikov metric of the moduli space Mg in terms of Lie algebraic data namely the Cartan matrix Kg and its inverse Kg-1. Properties regarding the ensemble averaging of these CFTs and their holographic dual are also derived. Additionally, we discuss possible generalisations to NCFTs having dis-symmetric central charges (cL,cR)=(s,% r) with s>r and highlight further features of the partition function Zg(r,r).