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Article: Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra

TitleInfinitesimal conformal restriction and unitarizing measures for Virasoro algebra
Authors
Gordina, MariaQian, WeiWang, Yilin
KeywordsConformal restriction
Schramm–Loewner evolution
Unitarizing measure
Virasoro algebra
Issue Date2025
Citation
Journal Des Mathematiques Pures Et Appliquees, 2025, v. 195, article no. 103669 How to Cite?
DOI: http://dx.doi.org/10.1016/j.matpur.2025.103669
AbstractWe use the SLEκ loop measure to construct a natural representation of the Virasoro algebra of central charge c=c(κ)≤1. In particular, we introduce a non-degenerate bilinear Hermitian form (and non positive-definite) using the SLE loop measure and show that the representation is indefinite unitary. Our proof relies on the infinitesimal conformal restriction property of the SLE loop measure.
Persistent Identifierhttp://hdl.handle.net/10722/368126
ISSN
0021-7824
2023 Impact Factor: 2.1
2023 SCImago Journal Rankings: 2.487

 

DC FieldValueLanguage
dc.contributor.authorGordina, Maria-
dc.contributor.authorQian, Wei-
dc.contributor.authorWang, Yilin-
dc.date.accessioned2025-12-19T08:02:05Z-
dc.date.available2025-12-19T08:02:05Z-
dc.date.issued2025-
dc.identifier.citationJournal Des Mathematiques Pures Et Appliquees, 2025, v. 195, article no. 103669-
dc.identifier.issn0021-7824-
dc.identifier.urihttp://hdl.handle.net/10722/368126-
dc.description.abstractWe use the SLE<inf>κ</inf> loop measure to construct a natural representation of the Virasoro algebra of central charge c=c(κ)≤1. In particular, we introduce a non-degenerate bilinear Hermitian form (and non positive-definite) using the SLE loop measure and show that the representation is indefinite unitary. Our proof relies on the infinitesimal conformal restriction property of the SLE loop measure.-
dc.languageeng-
dc.relation.ispartofJournal Des Mathematiques Pures Et Appliquees-
dc.subjectConformal restriction-
dc.subjectSchramm–Loewner evolution-
dc.subjectUnitarizing measure-
dc.subjectVirasoro algebra-
dc.titleInfinitesimal conformal restriction and unitarizing measures for Virasoro algebra-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.matpur.2025.103669-
dc.identifier.scopuseid_2-s2.0-85215393221-
dc.identifier.volume195-
dc.identifier.spagearticle no. 103669-
dc.identifier.epagearticle no. 103669-

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