{"paper":{"title":"Towards superconformal and quasi-modular representation of exotic smooth R^4 from superstring theory I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Jerzy Kr\\'ol, Torsten Asselmeyer-Maluga","submitted_at":"2012-07-19T10:17:15Z","abstract_excerpt":"We show that superconformal ${\\cal N}=4,2$ algebras are well-suited to represent some invariant constructions characterizing exotic $\\mathbb{R}^4$ relative to a given radial family. We examine the case of ${\\cal N}=4, \\hat{c}=4$ (at $r=1$ level) superconformal algebra which is realized on flat $\\mathbb{R}^4$ and curved $S^3\\times \\mathbb{R}$. While the first realization corresponds naturally to standard smooth $\\mathbb{R}^4$ the second describes the algebraic end of some small exotic smooth $\\mathbb{R}^4$'s from the radial family of DeMichelis-Freedman and represents the linear dilaton backgro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4602","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"}