This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …

We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …

A bstract This work examines non-perturbative dynamics of a 2-dimensional QFT by using
discrete't Hooft anomaly, semi-classics with circle compactification and bosonization. We …

We apply field theory methods to SU (3) chains in the symmetric representation, with p
boxes in the Young tableau, mapping them into a flag manifold nonlinear σ-model with a …

We simulate the 2d U (1) gauge Higgs model on the lattice with a topological angle θ. The
corresponding complex action problem is overcome by using a dual representation based …

Abstract We study (1+ 1)-dimensional non-linear sigma models whose target space is the
flag manifold $ U (N)\over U (N_1)\times U (N_2)\cdots U (N_m) $, with a specific focus on …

We present a lattice study of a 2-flavor U (1) gauge-Higgs model quantum field theory with a
topological term at θ= π. Such studies are prohibitively costly in the standard lattice …

A bstract We investigate the phase structure of the compactified 2-dimensional nonlinear SU
(3)/U (1) 2 flag sigma model with respect to two θ-terms. Based on the circle compactification …

A bstract While the θ dependence of field theories is 2π periodic, the ground-state
wavefunctions at θ and θ+ 2π often belong to different classes of symmetry-protected …

Abstract Recently, SU (3) chains in the symmetric and self-conjugate representations have
been studied using field theory techniques. For certain representations, namely rank-p …