{"paper":{"title":"Solitons on Noncommutative Torus as Elliptic Calogero Gaudin Models, Branes and Laughlin Wave Functions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bo-Yu Hou, Dan-Tao Peng, Kang-jie Shi, Rui-Hong Yue","submitted_at":"2002-04-19T08:19:29Z","abstract_excerpt":"For the noncommutative torus ${\\cal T}$, in case of the N.C. parameter $\\theta = \\frac{Z}{n}$, we construct the basis of Hilbert space ${\\ca$H}_n$ in terms of $\\theta$ functions of the positions $z_i$ of $n$ solitons. The wrapping around the torus generates the algebra ${\\cal A}_n$, which is the $Z_n \\times Z_n$ Heisenberg group on $\\theta$ functions. We find the generators $g$ of an local elliptic $su(n)$, w$transform covariantly by the global gauge transformation of ${\\cal A}$By acting on ${\\cal H}_n$ we establish the isomorphism of ${\\cal A}_n$$g$. We embed this $g$ into the $L$-matrix of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204163","kind":"arxiv","version":1},"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/hep-th/0204163/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"}