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In order to support the conjecture that this algebra acts on the moduli space of instantons on $\\mathbb{C}^{2}/\\mathbb{Z}_{p}$, we calculate the characters of its representations and check their coincidence with the generating functions of the fixed points of the moduli space of instantons.\n  We show that the algebra $\\mathcal{A}(2,p)$ can be realized in two ways. The first realization is connected with the cross-product of $p$ Virasoro and $p$ Heisenberg algebras"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1306.3938","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-17T17:42:40Z","cross_cats_sorted":[],"title_canon_sha256":"f76388532892ca26d5c429d3585bcef2da6a0e6369543b056da01ea31e01f932","abstract_canon_sha256":"aae7f6e35be2cb9fcee20c66b83c6178cca45968562f00802e487d2d841c16b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:23.314554Z","signature_b64":"lXJ6zUtmPAVA5GsRIR2fQ/hygDL4rOnZj0+9W7iDV5c2GgvxsyFEbAMVFyuycJ86FLSgLTOpTLTDrARez0RkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d68f0d7d85b20aee7064bb4105eedbd231a02ae27cf76ce29721137ef78d33e5","last_reissued_at":"2026-05-18T03:13:23.313851Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:23.313851Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coset conformal field theory and instanton counting on C^2/Z_p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.A. Belavin, G.M. Tarnopolsky, M.N. Alfimov","submitted_at":"2013-06-17T17:42:40Z","abstract_excerpt":"We study conformal field theory with the symmetry algebra $\\mathcal{A}(2,p)=\\hat{\\mathfrak{gl}}(n)_{2}/\\hat{\\mathfrak{gl}}(n-p)_2$. In order to support the conjecture that this algebra acts on the moduli space of instantons on $\\mathbb{C}^{2}/\\mathbb{Z}_{p}$, we calculate the characters of its representations and check their coincidence with the generating functions of the fixed points of the moduli space of instantons.\n  We show that the algebra $\\mathcal{A}(2,p)$ can be realized in two ways. 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