Zobrazeno 1 - 10
of 148
pro vyhledávání: '"Girelli, Florian"'
Autor:
Chen, Hank, Girelli, Florian
The theory of Poisson-Lie groups and Lie bialgebras plays a major role in the study of one dimensional integrable systems; many families of integrable systems can be recovered from a Lax pair which is constructed from a Lie bialgebra associated to a
Externí odkaz:
http://arxiv.org/abs/2307.03831
Autor:
Chen, Hank, Girelli, Florian
Following the dimensional ladder, we develop a systematic categorification of the theory of quantum groups/bialgebras in the $A_\infty$ setting, and study their higher-representation theory. By following closely the generalized quantum double constru
Externí odkaz:
http://arxiv.org/abs/2304.07398
Autor:
Chen, Hank, Girelli, Florian
In this paper, we explore the algebraic and geometric structures that arise from a procedure we dub "gauging the gauge", which involves the promotion of a certain global, coordinate independent symmetry to a local one. By gauging the global 1-form sh
Externí odkaz:
http://arxiv.org/abs/2211.08549
Publikováno v:
JHEP 05 (2023) 154
We present a Sugawara-type construction for boundary charges in 4d BF theory and in a general family of related TQFTs. Starting from the underlying current Lie algebra of boundary symmetries, this gives rise to well-defined quadratic charges forming
Externí odkaz:
http://arxiv.org/abs/2211.00068
Autor:
Girelli, Florian, Laudonio, Matteo
We introduce the framework of Hopf algebra field theory (HAFT) which generalizes the notion of group field theory to the quantum group (Hopf algebra) case. We focus in particular on the 3d case and show how the HAFT we considered is topological. The
Externí odkaz:
http://arxiv.org/abs/2205.13312
We consider a deformation of 3D lattice gauge theory in the canonical picture, first classically, based on the Heisenberg double of $\operatorname{SU}(2)$, then at the quantum level. We show that classical spinors can be used to define a fundamental
Externí odkaz:
http://arxiv.org/abs/2205.13352
Group field theories are quantum field theories built on groups. They can be seen as a tool to generate topological state-sums or quantum gravity models. For four dimensional manifolds, different arguments have pointed towards 2-groups (such as cross
Externí odkaz:
http://arxiv.org/abs/2205.05837
Autor:
Chen, Hank, Girelli, Florian
Publikováno v:
Phys. Rev. D 106, 105017 (2022)
The gauge symmetry and shift/translational symmetry of a 3D BF action, which are associated to a pair of dual Lie algebras, can be combined to form the Drinfel'd double. This combined symmetry is the gauge symmetry of the Chern-Simons action which is
Externí odkaz:
http://arxiv.org/abs/2201.13366
Publikováno v:
Phys.Rev.D 105 (2022) 6, 066003
We present the first numerical calculation of the 4D Euclidean spin foam vertex amplitude for vertices with hypercubic combinatorics. Concretely, we compute the amplitude for coherent boundary data peaked on cuboid and frustum shapes. We present the
Externí odkaz:
http://arxiv.org/abs/2201.09902
We construct a phase space for a three dimensional cellular complex with decorations on edges and faces using crossed modules (strict 2-groups) equipped with a (non-trivial) Poisson structure. We do not use the most general crossed module, but only t
Externí odkaz:
http://arxiv.org/abs/2105.10616