We investigate theoretically a nonrelativistic trace anomaly and its impact on the low-
temperature equation of state in spatially one-dimensional three-component fermionic …

Small Coxeter groups are precisely the ones for which the Tits representation is integral,
which makes the study of their congruence subgroups relevant. The symmetric group S n …

It is known that three-body contact interactions in one-dimensional (1D) n (≥ 3)-body
problems of nonidentical particles can be topologically nontrivial: they are all classified by …

Many-particle quantum systems with intermediate anyonic exchange statistics are supported
in one spatial dimension. In this context, the anyon-anyon mapping is recast as a continuous …

Inspired by the covering-space method in path integrals on multiply connected spaces, we
here present a universal formula of time-evolution kernels for continuous-and discrete-time …

Anyons obeying fractional exchange statistics arise naturally in two dimensions: Hard-core
two-body constraints make the configuration space of particles not simply-connected. The …

Anyonic exchange statistics can emerge when the configuration space of quantum particles
is not simply-connected. Most famously, anyon statistics arises for particles with hard-core …

One-dimensional anyonic models of the Hubbard type show intriguing ground-state
properties, effectively transmuting between Bose-Einstein and Fermi-Dirac statistics. The …

Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid
groups, respectively. These groups play the role of braid groups in the Alexander–Markov …

We unveil a duality that extends the notions of both flux attachment and statistical
transmutation in spacetime dimensions beyond (2+ 1) D. Thus, a quantum system in …