This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

This article discusses fluctuating order in a quantum disordered phase proximate to a
quantum critical point, with particular emphasis on fluctuating stripe order. Optimal strategies …

The emergence of quasiparticles in interacting matter represents one of the cornerstones of
modern physics. However, in the vicinity of a quantum critical point, the existence of …

We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT
places nontrivial constraints on renormalization group (RG) flows on such line defects. We …

A bstract We consider the critical O (N) model in the presence of an external magnetic field
localized in space. This setup can potentially be realized in quantum simulators and in some …

A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …

A bstract We use the numerical bootstrap to study conformal line defects with O (2) global
symmetry. Our results are very general and capture in particular conformal line defects …

Small changes in an external parameter can often lead to dramatic qualitative changes in
the lowest energy quantum mechanical ground state of a correlated electron system. In …

A bstract Topological/perfectly-transmissive defects play a fundamental role in the analysis
of the symmetries of two dimensional conformal field theories (CFTs). In the present work …

We review recent experimental and theoretical results on the interaction between single-
particle excitations and collective spin excitations in the superconducting state of high-Tc …