{"paper":{"title":"Metric-Like Formalism for Matter Fields Coupled to 3D Higher Spin Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ippei Fujisawa, Ryuichi Nakayama","submitted_at":"2013-04-30T10:05:25Z","abstract_excerpt":"Action integral for a matter system composed of 0- and 2-forms, $C$ and $B_{\\mu\\nu}$, topologically coupled to 3D spin-3 gravity is considered first in the frame-like formalism. The field $C$ satisfies an eq of motion, $\\partial_{\\mu} \\, C+A_{\\mu} \\, C-C \\, \\bar{A}_{\\mu}=0$. With a suitable gauge fixing of a new local symmetry and diffeomorphism, only one component of $B_{\\mu\\nu}$, say $B_{\\phi r}$, remains non-vanishing and satisfies an equation similar to that for $C$ with $A_{\\mu}$ and $\\bar{A}_{\\mu}$ interchanged. The spin connection is eliminated by solving the eq of motion for the total "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7941","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"}