Over the past 15 years, the numerical conformal bootstrap has become an indispensable
tool for studying strongly coupled conformal field theories in various dimensions. Reviewed …

Matrix quantum mechanics plays various important roles in theoretical physics, such as a
holographic description of quantum black holes, and it underpins the only practical …

The idea of the conformal bootstrap is to constrain and solve CFTs using physical
consistency conditions like symmetry, unitarity, and causality. By relying on nonperturbative …

A bstract We propose the relaxation bootstrap method for the numerical solution of multi-
matrix models in the large N limit, developing and improving the recent proposal of H. Lin. It …

A bstract We derive simple bootstrap bounds on correlation functions of the BFSS matrix
theory/D0-brane quantum mechanics. The result strengthens and extends Polchinski's virial …

Given a renormalization scheme, we show how to formulate a tractable convex relaxation of
the set of feasible local density matrices of a many-body quantum system. The relaxation is …

We study the effectiveness of the numerical bootstrap techniques recently developed in [1]
for quantum mechanical systems. We find that for a double well potential the bootstrap …

We revisit the decoupling limits that lead to matrix theories on D-branes. We highlight the
BPS nature of these limits, in which the target space geometry becomes non-Lorentzian and …

A bstract In this work we report on a new bootstrap method for quantum mechanical
problems that closely mirrors the setup from conformal field theory (CFT). We use the …

We present a semidefinite programming algorithm to find eigenvalues of Schrödinger
operators within the bootstrap approach to quantum mechanics. The bootstrap approach …