FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2023113112> ?p ?o ?g. }

• W2023113112 abstract "Three-dimensional (3D) loop quantum gravity with a vanishing cosmological constant can be related to the quantization of the SU(2) BF theory discretized on a lattice. At the classical level, this discrete model characterizes discrete flat geometries and its phase space is built from ${T}^{*}mathrm{SU}(2)$. In a recent paper [Bonzom et al., arXiv:1402.2323], this discrete model was deformed using the Poisson-Lie group formalism and was shown to characterize discrete hyperbolic geometries while still being topological. Hence, it is a good candidate to describe the discretization of SU(2) BF theory with a (negative) cosmological constant. We proceed here to the quantization of this model. At the kinematical level, the Hilbert space is spanned by spin networks built on ${mathcal{U}}_{q}(mathfrak{su}(2))$ (with $q$ real). In particular, the quantization of the discretized Gauss constraint leads naturally to ${mathcal{U}}_{q}(mathfrak{su}(2))$ intertwiners. We also quantize the Hamiltonian constraint on a face of degree 3 and show that physical states are proportional to the quantum 6j symbol. This suggests that the Turaev-Viro amplitude with $q$ real is a solution of the quantum Hamiltonian. This model is therefore a natural candidate to describe 3D loop quantum gravity with a (negative) cosmological constant." @default.
• W2023113112 created "2016-06-24" @default.
• W2023113112 creator A5048327881 @default.
• W2023113112 creator A5079836557 @default.
• W2023113112 creator A5089238535 @default.
• W2023113112 date "2014-11-24" @default.
• W2023113112 modified "2023-10-18" @default.
• W2023113112 title "Towards the Turaev-Viro amplitudes from a Hamiltonian constraint" @default.
• W2023113112 cites W1499886697 @default.
• W2023113112 cites W1661352576 @default.
• W2023113112 cites W1974140843 @default.
• W2023113112 cites W1978695735 @default.
• W2023113112 cites W1990821890 @default.
• W2023113112 cites W1997750865 @default.
• W2023113112 cites W2003786459 @default.
• W2023113112 cites W2019558609 @default.
• W2023113112 cites W2025148421 @default.
• W2023113112 cites W2033385050 @default.
• W2023113112 cites W2036846729 @default.
• W2023113112 cites W2041977240 @default.
• W2023113112 cites W2068573186 @default.
• W2023113112 cites W2079781859 @default.
• W2023113112 cites W2086434517 @default.
• W2023113112 cites W2087644205 @default.
• W2023113112 cites W2088901485 @default.
• W2023113112 cites W2090668397 @default.
• W2023113112 cites W2094813839 @default.
• W2023113112 cites W2106021864 @default.
• W2023113112 cites W2134209739 @default.
• W2023113112 cites W2278480317 @default.
• W2023113112 cites W3101007789 @default.
• W2023113112 cites W3103086998 @default.
• W2023113112 cites W3104649017 @default.
• W2023113112 cites W3106189046 @default.
• W2023113112 doi "https://doi.org/10.1103/physrevd.90.104038" @default.
• W2023113112 hasPublicationYear "2014" @default.
• W2023113112 type Work @default.
• W2023113112 sameAs 2023113112 @default.
• W2023113112 citedByCount "34" @default.
• W2023113112 countsByYear W20231131122015 @default.
• W2023113112 countsByYear W20231131122016 @default.
• W2023113112 countsByYear W20231131122017 @default.
• W2023113112 countsByYear W20231131122018 @default.
• W2023113112 countsByYear W20231131122019 @default.
• W2023113112 countsByYear W20231131122020 @default.
• W2023113112 countsByYear W20231131122021 @default.
• W2023113112 countsByYear W20231131122023 @default.
• W2023113112 crossrefType "journal-article" @default.
• W2023113112 hasAuthorship W2023113112A5048327881 @default.
• W2023113112 hasAuthorship W2023113112A5079836557 @default.
• W2023113112 hasAuthorship W2023113112A5089238535 @default.
• W2023113112 hasBestOaLocation W20231131122 @default.
• W2023113112 hasConcept C108568745 @default.
• W2023113112 hasConcept C11413529 @default.
• W2023113112 hasConcept C121332964 @default.
• W2023113112 hasConcept C126255220 @default.
• W2023113112 hasConcept C130787639 @default.
• W2023113112 hasConcept C134306372 @default.
• W2023113112 hasConcept C158913796 @default.
• W2023113112 hasConcept C166861157 @default.
• W2023113112 hasConcept C180205008 @default.
• W2023113112 hasConcept C2778267785 @default.
• W2023113112 hasConcept C28855332 @default.
• W2023113112 hasConcept C33923547 @default.
• W2023113112 hasConcept C37914503 @default.
• W2023113112 hasConcept C58801389 @default.
• W2023113112 hasConcept C62520636 @default.
• W2023113112 hasConcept C62799726 @default.
• W2023113112 hasConcept C68562976 @default.
• W2023113112 hasConcept C73000952 @default.
• W2023113112 hasConcept C84114770 @default.
• W2023113112 hasConceptScore W2023113112C108568745 @default.
• W2023113112 hasConceptScore W2023113112C11413529 @default.
• W2023113112 hasConceptScore W2023113112C121332964 @default.
• W2023113112 hasConceptScore W2023113112C126255220 @default.
• W2023113112 hasConceptScore W2023113112C130787639 @default.
• W2023113112 hasConceptScore W2023113112C134306372 @default.
• W2023113112 hasConceptScore W2023113112C158913796 @default.
• W2023113112 hasConceptScore W2023113112C166861157 @default.
• W2023113112 hasConceptScore W2023113112C180205008 @default.
• W2023113112 hasConceptScore W2023113112C2778267785 @default.
• W2023113112 hasConceptScore W2023113112C28855332 @default.
• W2023113112 hasConceptScore W2023113112C33923547 @default.
• W2023113112 hasConceptScore W2023113112C37914503 @default.
• W2023113112 hasConceptScore W2023113112C58801389 @default.
• W2023113112 hasConceptScore W2023113112C62520636 @default.
• W2023113112 hasConceptScore W2023113112C62799726 @default.
• W2023113112 hasConceptScore W2023113112C68562976 @default.
• W2023113112 hasConceptScore W2023113112C73000952 @default.
• W2023113112 hasConceptScore W2023113112C84114770 @default.
• W2023113112 hasIssue "10" @default.
• W2023113112 hasLocation W20231131121 @default.
• W2023113112 hasLocation W20231131122 @default.
• W2023113112 hasOpenAccess W2023113112 @default.
• W2023113112 hasPrimaryLocation W20231131121 @default.
• W2023113112 hasRelatedWork W2023113112 @default.
• W2023113112 hasRelatedWork W2083881927 @default.
• W2023113112 hasRelatedWork W2107246682 @default.
• W2023113112 hasRelatedWork W2160234153 @default.
• W2023113112 hasRelatedWork W2951437324 @default.

• next