Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Hyun Kyu | - |
dc.contributor.author | Scarinci, Carlos | - |
dc.date.accessioned | 2024-06-17T14:10:13Z | - |
dc.date.available | 2024-06-17T14:10:13Z | - |
dc.date.created | 2024-06-10 | - |
dc.date.issued | 2024-06 | - |
dc.identifier.issn | 0010-3616 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11750/56646 | - |
dc.description.abstract | We construct a quantization of the moduli space GHΛ(S×R) of maximal globally hyperbolic Lorentzian metrics on S×R with constant sectional curvature Λ, for a punctured surface S. Although this moduli space is known to be symplectomorphic to the cotangent bundle of the Teichmüller space of S independently of the value of Λ, we define geometrically natural classes of observables leading to Λ-dependent quantizations. Using special coordinate systems, we first view GHΛ(S×R) as the set of points of a cluster X-variety valued in the ring of generalized complex numbers RΛ=R[ℓ]/(ℓ2+Λ). We then develop an RΛ-version of the quantum theory for cluster X-varieties by establishing RΛ-versions of the quantum dilogarithm function. As a consequence, we obtain three families of projective unitary representations of the mapping class group of S. For Λ<0 these representations recover those of Fock and Goncharov, while for Λ≥0 the representations are new. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024. | - |
dc.language | English | - |
dc.publisher | Springer | - |
dc.title | A Quantization of Moduli Spaces of 3-Dimensional Gravity | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00220-024-05012-8 | - |
dc.identifier.wosid | 001234579600006 | - |
dc.identifier.scopusid | 2-s2.0-85195141626 | - |
dc.identifier.bibliographicCitation | Communications in Mathematical Physics, v.405, no.6 | - |
dc.description.isOpenAccess | FALSE | - |
dc.subject.keywordPlus | TEICHMULLER SPACE | - |
dc.subject.keywordPlus | (2+1)-GRAVITY | - |
dc.subject.keywordPlus | REALIZATION | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | MAP | - |
dc.citation.number | 6 | - |
dc.citation.title | Communications in Mathematical Physics | - |
dc.citation.volume | 405 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.type.docType | Article | - |
There are no files associated with this item.