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The analytic bootstrap equations of non-diagonal two-dimensional CFT · Around

2017

The analytic bootstrap equations of non-diagonal two-dimensional CFT

Migliaccio, Santiago, Ribault, Sylvain

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Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method.

Here we generalize this approach to non-diagonal CFTs, i.e.
CFTs whose primary fields have nonzero conformal spins.
Assuming generic values of the central charge, we find that the non-diagonal sector of the spectrum must be parametrized by two integer numbers.

Built on

Al. B. Zamolodchikov (1986) Two-dimensional conformal symmetry and critical four-spin correlation functions in the Ashkin-Teller model
1986
Earlier work this paper cites.
P. Di Francesco, P. Mathieu, D. Senechal (1997 book) Conformal field theory
1997
Earlier work this paper cites.
I. Runkel (2000) [hep-th/9908046] Structure constants for the D series Virasoro minimal models
2000
Earlier work this paper cites.
N. Read, H. Saleur (2001) [hep-th/0106124] Exact spectra of conformal supersymmetric nonlinear sigma models in two-dimensions
2001
Earlier work this paper cites.

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Then

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