Flag manifold sigma models: spin chains and integrable theories

I Affleck, D Bykov, K Wamer - Physics Reports, 2022 - Elsevier
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 …

Moduli spaces of instantons in flag manifold sigma models. Vortices in quiver gauge theories

T Fujimori, M Nitta, K Ohashi - Journal of High Energy Physics, 2024 - Springer
A bstract In this paper, we discuss lumps (sigma model instantons) in flag manifold sigma
models. In particular, we focus on the moduli space of BPS lumps in general Kähler flag …

[HTML][HTML] Generalization of the Haldane conjecture to SU (n) chains

K Wamer, M Lajkó, F Mila, I Affleck - Nuclear Physics B, 2020 - Elsevier
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 …

Topological terms of (2+ 1) d flag-manifold sigma models

R Kobayashi, Y Lee, K Shiozaki, Y Tanizaki - Journal of High Energy …, 2021 - Springer
A bstract We examine topological terms of (2+ 1) d sigma models and their consequences in
the light of classifications of invertible quantum field theories utilizing bordism groups. In …

Lieb-Schultz-Mattis constraints for the insulating phases of the one-dimensional SU() Kondo lattice model

P Lecheminant, K Totsuka - Physical Review B, 2024 - APS
The nature of the insulating phases of the SU (N)-generalization of the one-dimensional
Kondo lattice model is investigated by means of nonperturbative approaches. By extending …

Infrared properties of two-dimensional nonlinear models at nonzero angles

P Lecheminant, Y Tanizaki, K Totsuka - arxiv preprint arxiv:2412.17493, 2024 - arxiv.org
A general strategy is proposed to explore the low-energy properties of two-dimensional
nonlinear $\sigma $ models with $\theta $ terms. We demonstrate its application to nonlinear …

[PDF][PDF] String junctions in flag manifold sigma model

Y Amari, T Fujimori, M Nitta, K Ohashi - arxiv preprint arxiv:2406.01878, 2024 - arxiv.org
arxiv:2406.01878v1 [hep-th] 4 Jun 2024 Page 1 Preprint typeset in JHEP style String junctions in
flag manifold sigma model Yuki Amaria Toshiaki Fujimorib,a Muneto Nittaa,c and Keisuke Ohashia …

Topological terms of (2+ 1) d flag-manifold sigma models

K Ryohei, Y Lee, K Shiozaki… - Journal of High Energy …, 2021 - search.proquest.com
We examine topological terms of (2+ 1) d sigma models and their consequences in the light
of classifications of invertible quantum field theories utilizing bordism groups. In particular …

[PDF][PDF] Infrared properties of two-dimensional SU (N)/H nonlinear σ models at nonzero θ angles

P Lecheminant, Y Tanizaki, K Totsuka - scipost.org
A general strategy is proposed to explore the low-energy properties of two-dimensional
nonlinear σ models with θ terms. We demonstrate its application to nonlinear σ models with …