Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Catherine Meusburger"'
Autor:
Catherine Meusburger
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1324 (2021)
We review Poisson–Lie groups and their applications in gauge theory and integrable systems from a mathematical physics perspective. We also comment on recent results and developments and their applications. In particular, we discuss the role of qua
Externí odkaz:
https://doaj.org/article/7a14d9c3f98841b498dcfe9bb85d3a0e
Autor:
Thomas Voß, Catherine Meusburger
Publikováno v:
Quantum Topology. 12:507-591
We show that any pivotal Hopf monoid $H$ in a symmetric monoidal category $\mathcal{C}$ gives rise to actions of mapping class groups of oriented surfaces of genus $g \geq 1$ with $n \geq 1$ boundary components. These mapping class group actions are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cba955cc9a700e982b68648af427eec
https://doi.org/10.4171/qt/158
https://doi.org/10.4171/qt/158
Autor:
Catherine Meusburger, Carlos Scarinci
Publikováno v:
Geometriae Dedicata. 216
We give a unified description of tetrahedra with lightlike faces in 3d anti-de Sitter, de Sitter and Minkowski spaces and of their duals in 3d anti-de Sitter, hyperbolic and half-pipe spaces. We show that both types of tetrahedra are determined by a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0bf90ead96301a59e9a3940cca5939b
https://doi.org/10.1007/s10711-022-00687-6
https://doi.org/10.1007/s10711-022-00687-6
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
instname
The correspondence between Poisson homogeneous spaces over a Poisson-Lie group $G$ and Lagrangian Lie subalgebras of the classical double $D({\mathfrak g})$ is revisited and explored in detail for the case in which ${\mathfrak g}=D(\mathfrak a)$ is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f45676da1e401c340b4d4d71da484147
http://uvadoc.uva.es/handle/10324/33638
http://uvadoc.uva.es/handle/10324/33638
Autor:
Ivan Gutierrez-Sagredo, Francisco J. Herranz, P. Naranjo, Angel Ballesteros, Catherine Meusburger
Publikováno v:
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
Repositorio Institucional de la Universidad de Burgos (RIUBU)
instname
Repositorio Institucional de la Universidad de Burgos (RIUBU)
8th International Workshop DICE2016: Spacetime - Matter - Quantum Mechanics 12–16 September 2016, Castiglioncello, Italy
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04349de3f7d355450d2147da6e8b9f19
http://uvadoc.uva.es/handle/10324/33640
http://uvadoc.uva.es/handle/10324/33640
Publikováno v:
Communications in Mathematical Physics. 327:443-479
We apply Dirac's gauge fixing procedure to Chern-Simons theory with gauge group ISO(2,1) on manifolds RxS, where S is a punctured oriented surface of general genus. For all gauge fixing conditions that satisfy certain structural requirements, this yi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3e46ac26b1db42678b8de57ebe4b5f0
https://doi.org/10.1007/s00220-014-1938-8
https://doi.org/10.1007/s00220-014-1938-8
Autor:
Catherine Meusburger
We prove that Kitaev's lattice model for a finite-dimensional semisimple Hopf algebra H is equivalent to the combinatorial quantisation of Chern-Simons theory for the Drinfeld double D(H). This shows that Kitaev models are a special case of the older
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5358a686abc8e228735e82af29ed930
http://arxiv.org/abs/1607.01144
http://arxiv.org/abs/1607.01144
We initiate a systematic study of 3-dimensional `defect' topological quantum field theories, that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For every such functor we construct a tricategory with duals, which is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1459d0ffe8efab348dc7279a506e5d4f
Autor:
Catherine Meusburger, Karim Noui
Publikováno v:
Nuclear Physics B. 841:463-505
We quantise the Euclidean torus universe via a combinatorial quantisation formalism based on its formulation as a Chern-Simons gauge theory and on the representation theory of the Drinfel'd double DSU(2). The resulting quantum algebra of observables
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e34b3554f9712ade9e8106b2303070
https://doi.org/10.1016/j.nuclphysb.2010.08.014
https://doi.org/10.1016/j.nuclphysb.2010.08.014