Séminaire de Physique Théorique

A Functional Approach to the Numerical Conformal Bootstrap

by Prof. Miguel Paulos (Ecole Normale Supérieure)

Bâtiment Alix et Marwan Lahoud (IHES)

Bâtiment Alix et Marwan Lahoud


35, route de Chartres, F-91440 Bures-sur-Yvette (France)

We apply recently constructed functional bases to the numerical conformal bootstrap for 1D CFTs. We argue and show that numerical results in this basis converge much faster than the traditional derivative basis. In particular, truncations of the crossing equation with even a handful of components can lead to extremely accurate results, in opposition to hundreds of components in the usual approach. We explain how this is a consequence of the functional basis correctly capturing the asymptotics of bound-saturating extremal solutions to crossing. We discuss how these methods can and should be implemented in higher dimensional applications.

Organized by

Slava Rychkov