Zobrazeno 1 - 10
of 765
pro vyhledávání: '"Mueller Lukas A"'
This paper develops an approach to categorical deformation quantization via factorization homology. We show that a quantization of the local coefficients for factorization homology is equivalent to consistent quantizations of its value on manifolds.
Externí odkaz:
http://arxiv.org/abs/2410.12516
Autor:
Müller, Lukas, Woike, Lukas
Given a finite ribbon category, which is a particular case of a cyclic algebra over the operad of genus zero surfaces, there are two possibilities for an extension defined on all three-dimensional handlebodies: On the one hand, one can use the admiss
Externí odkaz:
http://arxiv.org/abs/2409.17047
Autor:
BMW Group Quantum Team, Klepsch, Johannes, Finžgar, Jernej Rudi, Kiwit, Florian, Hölscher, Leonhard, Erdmann, Marvin, Müller, Lukas, Kumar, Chandan, Luckow, Andre
Quantum computing could impact various industries, with the automotive industry with many computational challenges, from optimizing supply chains and manufacturing to vehicle engineering, being particularly promising. This chapter investigates state-
Externí odkaz:
http://arxiv.org/abs/2409.14183
We prove that every unitary invertible quantum field theory satisfies a generalization of the famous spin statistics theorem. To formulate this extension, we define a `higher spin' action of the stable orthogonal group $O$ on appropriate spacetime ma
Externí odkaz:
http://arxiv.org/abs/2408.03981
Autor:
Hölscher, Leonhard, Rao, Pooja, Müller, Lukas, Klepsch, Johannes, Luckow, Andre, Stollenwerk, Tobias, Wilhelm, Frank K.
Tensor network algorithms can efficiently simulate complex quantum many-body systems by utilizing knowledge of their structure and entanglement. These methodologies have been adapted recently for solving the Navier-Stokes equations, which describe a
Externí odkaz:
http://arxiv.org/abs/2406.17823
Autor:
Müller, Lukas, Woike, Lukas
In this short note, we classify linear categorified open topological field theories in dimension two by pivotal Grothendieck-Verdier categories. In combination with recently developed string-net techniques, this leads to a new description of the spac
Externí odkaz:
http://arxiv.org/abs/2406.11605
Autor:
Ferrer, Giovanni, Hungar, Brett, Johnson-Freyd, Theo, Krulewski, Cameron, Müller, Lukas, Nivedita, Penneys, David, Reutter, David, Scheimbauer, Claudia, Stehouwer, Luuk, Vuppulury, Chetan
We present a coherent definition of dagger $(\infty,n)$-category in terms of equivariance data trivialized on parts of the category. Our main example is the bordism higher category $\mathbf{Bord}_{n}^X$. This allows us to define a reflection-positive
Externí odkaz:
http://arxiv.org/abs/2403.01651
The Levin-Wen string-nets of a spherical fusion category $\mathcal{C}$ describe, by results of Kirillov and Bartlett, the representations of mapping class groups of closed surfaces obtained from the Turaev-Viro construction applied to $\mathcal{C}$.
Externí odkaz:
http://arxiv.org/abs/2312.14010
Autor:
Müller, Lukas, Woike, Lukas
We calculate the Dehn twist action on the spaces of conformal blocks of a not necessarily semisimple modular category. In particular, we give the order of the Dehn twists under the mapping class group representations of closed surfaces. For Dehn twis
Externí odkaz:
http://arxiv.org/abs/2311.16020
Autor:
Carqueville, Nils, Müller, Lukas
We develop a general theory of 3-dimensional ``orbifold completion'', to describe (generalised) orbifolds of topological quantum field theories as well as all their defects. Given a semistrict 3-category $\mathcal{T}$ with adjoints for all 1- and 2-m
Externí odkaz:
http://arxiv.org/abs/2307.06485