5 citations · 9 across the 9 of their papers we have counts for
9 papers
Extension of algebroids Part I: The Construction
Simon-Raphael Fischer
In this series of two papers we will generalise the concept of extending a Lie algebroid by a Lie algebra bundle, leading to a notion of extending a Lie algebroid by another Lie al…
Topological Classification of Symmetry Breaking and Vacuum Degeneracy
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
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 spontaneou…
Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection
Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1
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 ca…
A classification of neighborhoods around leaves of a singular foliation
Simon-Raphael Fischer, Camille Laurent-Gengoux
We classify singular foliations admitting a given leaf and a given transverse singular foliation.
Integrating curved Yang-Mills gauge theories
Simon-Raphael Fischer
We construct a gauge theory based on principal bundles equipped with a right -action, where is a Lie group bundle instead of a Lie group. D…
Infinitesimal gauge transformations induced by Lie algebroid connections, in the context of Yang-Mills-Higgs gauge theory
Simon-Raphael Fischer
There is the notion of action Lie algebroids, containing information about Lie algebras and their actions, which is why it is natural to generalise gauge theories to a formulation…
Geometry of curved Yang-Mills-Higgs gauge theories
Simon-Raphael Fischer
This is my Ph.D. thesis defended at 31 May 2021, and it is devoted to the study of the geometry of curved Yang-Mills-Higgs gauge theory (CYMH GT), a theory introduced by Alexei Kot…
Curved Yang-Mills-Higgs gauge theories in the case of massless gauge bosons
Simon-Raphael Fischer
Alexei Kotov and Thomas Strobl have introduced a covariantized formulation of Yang-Mills-Higgs gauge theories whose main motivation was to replace the Lie algebra with Lie algebroi…
Existence of Thin Shell Wormholes using non-linear distributional geometry
Simon-Raphael Fischer
We study for which polynomials a thin shell wormhole with a continuous metric (connecting two Schwarzschild spacetimes of the same mass) satisfy the null energy condition (NEC)…