Modular Exercises for Four-Point Blocks -- I

25 Feb 2020 Cheng Miranda C. N. Gannon Terry Lockhart Guglielmo

The well-known modular property of the torus characters and torus partition functions of (rational) vertex operator algebras (VOAs) and 2d conformal field theories (CFTs) has been an invaluable tool for studying this class of theories. In this work we prove that sphere four-point chiral blocks of rational VOAs are vector-valued modular forms for the groups $\Gamma(2)$, $\Gamma_0(2)$, or $\text{SL}_2(\mathbb{Z})$... (read more)

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