Classification of Narain CFTs and Ensemble Average
Classification of Narain CFTs and Ensemble Average
We propose a systematic classification of Narain conformal field theories based on finite dimensional Lie algebras $\mathbf{g}$ and representations $\mathcal{R}_{\mathbf{g}}$. First, we describe our proposal for the su(2) conformal theory termed as NCFT$_{2}^{\mathbf{su}_{2}}$ with central charge $(\mathrm{c}_{L},\mathrm{c}_{R})=(\mathrm{1},\mathrm{1})$ and modular invariant partition function Z$_{\mathbf{su}_{2}}^{(1,1)}$. Then, we extend this model to encompass …