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Comments on determinant formulas for general CFTs

Research paper by Masahito Yamazaki

Indexed on: 10 Oct '16Published on: 10 Oct '16Published in: Journal of High Energy Physics



Abstract

We point out that the determinant formula for a parabolic Verma module plays a key role in the study of (super)conformal field theories and in particular their (super)conformal blocks. The determinant formula is known from the old work of Jantzen for bosonic conformal algebras, and we present a conjecture for superconformal algebras. The application of the formula includes derivation of the unitary bound and recursion relations for conformal blocks.