Zobrazeno 1 - 10
of 1 969
pro vyhledávání: '"A Saemann"'
We provide a new proof of the splitting theorems from Lorentzian geometry, in which simplicity is gained by sacrificing linearity of the d'Alembertian to recover ellipticity. We exploit a negative homogeneity (non-uniformly) elliptic $p$-d'Alembert o
Externí odkaz:
http://arxiv.org/abs/2410.12632
Inspired by the Movshev-Mason-Skinner Cauchy-Riemann (CR) ambitwistor approach, we provide a rigorous yet elementary construction of a twisted CR holomorphic Chern-Simons action on CR ambitwistor space for maximally supersymmetric Yang-Mills theory o
Externí odkaz:
http://arxiv.org/abs/2408.16727
Autor:
Beran, Tobias, Braun, Mathias, Calisti, Matteo, Gigli, Nicola, McCann, Robert J., Ohanyan, Argam, Rott, Felix, Sämann, Clemens
We introduce a variational first-order Sobolev calculus on metric measure spacetimes. The key object is the maximal weak subslope of an arbitrary causal function, which plays the role of the (Lorentzian) modulus of its differential. It is shown to sa
Externí odkaz:
http://arxiv.org/abs/2408.15968
We argue that a general system of scalar fields and gauge fields manifesting vacuum degeneracy induces a principal groupoid bundle over spacetime and that the pattern of spontaneous symmetry breaking and the Higgs mechanism are encoded by the singula
Externí odkaz:
http://arxiv.org/abs/2406.17634
We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid can be identified with a lift of the inner homomorphisms groupoid arisin
Externí odkaz:
http://arxiv.org/abs/2406.16755
Autor:
Sämann, Clemens
We give a brief non-technical introduction to non-regular spacetime geometry. In particular, we discuss how curvature, and hence gravity, can be defined without a smooth (differential geometric) calculus.
Comment: 19 pages, 3 Figures; invited ar
Comment: 19 pages, 3 Figures; invited ar
Externí odkaz:
http://arxiv.org/abs/2404.18651
Autor:
Borsten, Leron, Farahani, Mehran Jalali, Jurco, Branislav, Kim, Hyungrok, Narozny, Jiri, Rist, Dominik, Saemann, Christian, Wolf, Martin
This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical Physics, 2nd edition. In particular, we provide a lightning introduction to higher structures and to the construction of the kinematical data of higher gaug
Externí odkaz:
http://arxiv.org/abs/2401.05275
Publikováno v:
Lett. Math. Phys. Volume 114, article number 58 (2024)
Impulsive gravitational waves are theoretical models of short but violent bursts of gravitational radiation. They are commonly described by two distinct spacetime metrics, one of local Lipschitz regularity, the other one even distributional. These tw
Externí odkaz:
http://arxiv.org/abs/2312.01980
Autor:
Sämann, Timo, Groß, Horst-Michael
Ensuring safety in automated driving is a major challenge for the automotive industry. Special attention is paid to artificial intelligence, in particular to Deep Neural Networks (DNNs), which is considered a key technology in the realization of high
Externí odkaz:
http://arxiv.org/abs/2310.14675
Autor:
Borsten, Leron, Jurco, Branislav, Kim, Hyungrok, Macrelli, Tommaso, Saemann, Christian, Wolf, Martin
We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action double copies to a known action for maximally supersymmetric self-dual gra
Externí odkaz:
http://arxiv.org/abs/2307.10383