Unitary subsector of generalized minimal models

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Abstract

We revisit the line of nonunitary theories that interpolate between the Virasoro minimal models. Numerical bootstrap applications have brought about interest in the four-point function involving the scalar primary of lowest dimension. Using recent progress in harmonic analysis on the conformal group, we prove the conjecture that global conformal blocks in this correlator appear with positive coefficients. We also compute many such coefficients in the simplest mixed correlator system. Finally, we comment on the status of using global conformal blocks to isolate the truly unitary points on this line.

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APA

Behan, C. (2018). Unitary subsector of generalized minimal models. Physical Review D, 97(9). https://doi.org/10.1103/PhysRevD.97.094020

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