The Numerical Bootstrap of Points and Lines

by Marco Meineri (Istituto Nazionale di Fisica Nucleare)

Thursday 17 Oct 2024, 15:00 → 16:00 Europe/Rome

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 I will describe how to constrain the spectrum of local operators and boundary conditions, in two dimensions, using the numerical bootstrap. Even for rational theories, it is hard to construct examples of boundary conditions which break all symmetry except Virasoro, let alone classify them. Yet, as always, the OPE data associated with each conformal boundary condition obeys crossing and unitarity. The ensuing constraints can be organized in a semidefinite program, which allows exploration of a multi-dimensional parameter space involving bulk and boundary data.