{"paper":{"title":"Constrained KP Hierarchies: Additional Symmetries, Darboux-B\\\"{a}cklund Solutions and Relations to Multi-Matrix Models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Nissimov, H. Aratyn, S. Pacheva","submitted_at":"1996-07-30T23:42:03Z","abstract_excerpt":"This paper provides a systematic description of the interplay between a specific class of reductions denoted as \\cKPrm ($r,m \\geq 1$) of the primary continuum integrable system -- the Kadomtsev-Petviashvili ({\\sf KP}) hierarchy and discrete multi-matrix models. The relevant integrable \\cKPrm structure is a generalization of the familiar $r$-reduction of the full {\\sf KP} hierarchy to the $SL(r)$ generalized KdV hierarchy ${\\sf cKP}_{r,0}$. The important feature of \\cKPrm hierarchies is the presence of a discrete symmetry structure generated by successive Darboux-B\\\"{a}cklund (DB) transformatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9607234","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":""},"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"}