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 …

The paradigmatic example of deconfined quantum criticality is the Neel to valence bond
solid phase transition. The continuum description of this transition is the N= 2 case of the …

Quantum fluctuations can inhibit long-range ordering in frustrated magnets and potentially
lead to quantum spin liquid (QSL) phases. A prime example are gapless QSLs with …

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 …

Quantum electrodynamics in 2+ 1 dimensions (QED 3) has been proposed as a critical field
theory describing the low-energy effective theory of a putative algebraic Dirac spin liquid or …

A bstract We combine supersymmetric localization with the numerical conformal bootstrap to
bound the scaling dimension and OPE coefficient of the lowest-dimension unprotected …

A bstract We initiate the study of correlation functions of non-Abelian spin-1 conserved
current in three-dimensional conformal field theories using numerical conformal bootstrap …

At sufficiently low temperatures, interacting electron systems tend to develop orders.
Exceptions are quantum critical point (QCP) and quantum spin liquid (QSL), where …

Deconfined quantum critical points (DQCPs) are putative phase transitions beyond the
Landau paradigm with emergent fractionalized degrees of freedom. The original example of …

A bstract This paper explores the numerical conformal bootstrap in general spacetime
dimensions through the lens of a distinct category of analytic functionals, previously …