Lie algebroids, gauge theories, and compatible geometrical structures
A Kotov, T Strobl - Reviews in Mathematical Physics, 2019 - World Scientific
The construction of gauge theories beyond the realm of Lie groups and algebras leads one
to consider Lie groupoids and algebroids equipped with additional geometrical structures …
to consider Lie groupoids and algebroids equipped with additional geometrical structures …
[HTML][HTML] Gauging without initial symmetry
A Kotov, T Strobl - Journal of Geometry and Physics, 2016 - Elsevier
The gauge principle is at the heart of a good part of fundamental physics: Starting with a
group G of so-called rigid symmetries of a functional defined over space–time Σ, the original …
group G of so-called rigid symmetries of a functional defined over space–time Σ, the original …
[图书][B] Hamiltonian Lie algebroids
C Blohmann, A Weinstein - 2024 - ams.org
In previous work with MC Fernandes, we found a Lie algebroid symmetry for the Einstein
evolution equations. The present work was motivated by the effort to combine this symmetry …
evolution equations. The present work was motivated by the effort to combine this symmetry …
[PDF][PDF] A classification of neighborhoods around leaves of a singular foliation
SR Fischer, C Laurent-Gengoux - arXiv preprint arXiv:2401.05966, 2024 - arxiv.org
arXiv:2401.05966v1 [math.DG] 11 Jan 2024 Page 1 arXiv:2401.05966v1 [math.DG] 11 Jan
2024 A CLASSIFICATION OF NEIGHBORHOODS AROUND LEAVES OF A SINGULAR …
2024 A CLASSIFICATION OF NEIGHBORHOODS AROUND LEAVES OF A SINGULAR …
Beyond the standard gauging: gauge symmetries of Dirac sigma models
A Chatzistavrakidis, A Deser, L Jonke… - Journal of High Energy …, 2016 - Springer
A bstract In this paper we study the general conditions that have to be met for a gauged
extension of a two-dimensional bosonic σ-model to exist. In an inversion of the usual …
extension of a two-dimensional bosonic σ-model to exist. In an inversion of the usual …
A Tour of T-duality: Geometric and Topological Aspects of T-dualities
M Bugden - arXiv preprint arXiv:1904.03583, 2019 - arxiv.org
The primary focus of this thesis is to investigate the mathematical and physical properties of
spaces that are related by T-duality and its generalisations. In string theory, T-duality is a …
spaces that are related by T-duality and its generalisations. In string theory, T-duality is a …
T-duality without isometry via extended gauge symmetries of 2D sigma models
A Chatzistavrakidis, A Deser, L Jonke - Journal of High Energy Physics, 2016 - Springer
A bstract Target space duality is one of the most profound properties of string theory.
However it customarily requires that the background fields satisfy certain invariance …
However it customarily requires that the background fields satisfy certain invariance …
Non-abelian gerbes and enhanced Leibniz algebras
T Strobl - Physical Review D, 2016 - APS
We present the most general gauge-invariant action functional for coupled 1-and 2-form
gauge fields with kinetic terms in generic dimensions, ie, dropping eventual contributions …
gauge fields with kinetic terms in generic dimensions, ie, dropping eventual contributions …
Hidden isometry of “T-duality without isometry”
A bstract We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who
recently used Lie algebroid gauge theories to obtain sigma models exhibiting a “Tduality …
recently used Lie algebroid gauge theories to obtain sigma models exhibiting a “Tduality …
Covariant interacting fractons
E Bertolini, H Kim - arXiv preprint arXiv:2410.01397, 2024 - arxiv.org
We show that there exists a natural analogue of the Yang-Mills equations using the Fr\"
olicher-Nijenhuis bracket between vector-valued differential forms. The gauge field is a rank …
olicher-Nijenhuis bracket between vector-valued differential forms. The gauge field is a rank …