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The Analytic Functional Bootstrap I: 1D CFTs and 2D S-Matrices · Around

2018

The Analytic Functional Bootstrap I: 1D CFTs and 2D S-Matrices

Mazac, Dalimil, Paulos, Miguel F.

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We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension.

We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in two regimes.
The first corresponds to functionals that annihilate the generalized free fermion spectrum.
In this case, we analytically find both OPE and gap maximization functionals proving the extremality of the generalized free fermion solution to crossing.

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