Constraining Two dimensional CFTs with Modular Invariance
August 02, 2019
We discuss how the modular property constraints partition function of two-dimensional conformal field theories(CFT). We apply the semi-definite programming to analyze the modular constraints. We verified that the modular bootstrap program find the partition of various rational CFTs. This includes the level-one Wess-Zumino-Witten(WZW) models with Degline's exceptional series, cousins of extremal CFTs, babymonster CFT and c=8 and c=16 CFTs without Kac-Moody symmetry.
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