{"paper":{"title":"$\\eta$ and $\\lambda$ deformations as ${\\cal E}$-models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ctirad Klimcik","submitted_at":"2015-08-24T14:59:39Z","abstract_excerpt":"We show that the so called $\\lambda$ deformed $\\sigma$-model as well as the $\\eta$ deformed one belong to a class of the ${\\cal E}$-models introduced in the context of the Poisson-Lie-T-duality. The $\\lambda$ and $\\eta$ theories differ solely by the choice of the Drinfeld double; for the $\\lambda$ model the double is the direct product $G\\times G$ while for the $\\eta$ model it is the complexified group $G^{\\mathbb{C}}$. As a consequence of this picture, we prove for any $G$ that the target space geometries of the $\\lambda$-model and of the Poisson-Lie T-dual of the $\\eta$-model are related by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05832","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}