TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.6.183
TI  - Infrared properties of two-dimensional SU(N)/H nonlinear $\sigma$ models at nonzero $\theta$ angles
PY  - 2025/06/10
UR  - https://www.scipost.org/SciPostPhys.18.6.183
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 6
SP  - 183
A1  - Lecheminant, Philippe
AU  - Tanizaki, Yuya
AU  - Totsuka, Keisuke
AB  - 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 $\sigma$ models with the target space $SU(N)/H$, which include $\mathbb{C}P^{N-1}$, complex Grassmannian manifolds as well as the flag $SU(N)/U(1)^{N-1}$ and $SU(N)/SO(N)$ manifolds. By analyzing the symmetry and its anomaly content, we realize these nonlinear $\sigma$ models by considering specific deformations of the $SU(N)_1$ conformal field theory. For the flag-manifold $SU(N)/U(1)^{N-1}$ and $SU(N)/SO(N)$ models, those deformations are shown to correspond to the marginal current-current operator with the specific sign which leads to a massless renormalization group flow to the $SU(N)_1$ fixed point. In contrast, a massive regime with a two-fold ground-state degeneracy is found for the $\mathbb{C}P^{N-1}$ ($N >2$) and the Grassmannian nonlinear $\sigma$ models at $\theta=\pi$.
ER  -

@Article{10.21468/SciPostPhys.18.6.183,
	title={{Infrared properties of two-dimensional SU(N)/H nonlinear $\sigma$ models at nonzero $\theta$ angles}},
	author={Philippe Lecheminant and Yuya Tanizaki and Keisuke Totsuka},
	journal={SciPost Phys.},
	volume={18},
	pages={183},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.6.183},
	url={https://scipost.org/10.21468/SciPostPhys.18.6.183},
}