{"paper":{"title":"Infrared properties of two-dimensional $\\mathrm{SU}(N)/H$ nonlinear $\\sigma$ models at nonzero $\\theta$ angles","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Keisuke Totsuka, Philippe Lecheminant, Yuya Tanizaki","submitted_at":"2024-12-23T11:43:28Z","abstract_excerpt":"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 $\\text{SU($N$)}$/H, which include $\\mathbb{C}P^{N-1}$, complex Grassmannian manifolds as well as the flag $\\text{SU($N$)}/\\text{U(1)}^{N-1}$ and $\\text{SU($N$)})/\\text{SO($N$)}$ manifolds. By analyzing the symmetry and its anomaly content, we realize these nonlinear $\\sigma$ models through perturbations added to the SU(N)$_1$ conformal field theory. For the flag-manifold $\\text{SU("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17493","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.17493/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}