Infrared properties of two-dimensional SU(N)/H nonlinear σ models at nonzero θ angles
Philippe Lecheminant, Yuya Tanizaki, Keisuke Totsuka
SciPost Phys. 18, 183 (2025) · published 10 June 2025
Part of the In Memoriam: Ian Affleck Collection in the In Memoriam Series.
- doi: 10.21468/SciPostPhys.18.6.183
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Abstract
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 the target space SU(N)/H, which include CPN−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 σ 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 CPN−1 (N>2) and the Grassmannian nonlinear σ models at θ=π.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Philippe Lecheminant,
- 4 Yuya Tanizaki,
- 4 Keisuke Totsuka
- 1 CY Cergy Paris Université / CY Cergy Paris University
- 2 Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- 3 LPTM / Laboratoire de Physique Théorique et Modélisation
- 4 京都大學湯河理論物理研究所 / Yukawa Institute for Theoretical Physics [YITP]