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Simon-Raphael Fischer

Simon-Raphael Fischer
National Center for Theoretical Sciences

PhD
Working as postdoc in Taipei

About

6
Publications
469
Reads
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2
Citations
Introduction
I am currently researching curved Yang-Mills-Higgs gauge theories, introduced and developed by Alexei Kotov and Thomas Strobl
Additional affiliations
October 2021 - present
National Center for Theoretical Sciences
Position
  • PostDoc Position
November 2017 - May 2021
Claude Bernard University Lyon 1
Position
  • PhD Student
Description
  • Cotutelle with University of Geneva
November 2017 - May 2021
University of Geneva
Position
  • PhD Student
Description
  • Cotutelle with Claude Bernard University Lyon 1
Education
November 2017 - May 2021
Claude Bernard University Lyon 1
Field of study
  • Mathematics
November 2017 - May 2021
University of Geneva
Field of study
  • Mathematics
October 2015 - September 2017
Technische Universität München
Field of study
  • Theoretical and mathematical physics

Publications

Publications (6)
Preprint
Full-text available
This is my Ph.D. thesis which I am going to defend in 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 Kotov and Thomas Strobl. This theory reformulates classical gauge theory, in particular, the Lie algebra (and its action) is generalized to a Lie algebroid $E$, e...
Preprint
Full-text available
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 using Lie algebroids; these allow structure functions in general. This is for example done in the formulation of curved Yang-Mills-Higgs gauge theory, formulated by Alexe...
Thesis
Full-text available
This is my Ph.D. thesis defended on 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 Kotov and Thomas Strobl. This theory reformulates classical gauge theory, in particular, the Lie algebra (and its action) is generalized to a Lie algebroid E, equipped with...
Article
Full-text available
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 algebroids. This allows the introduction of a possibly non-flat connection ∇ on this bundle, after also introducing an additional 2-form ζ in the field strength. We will study th...
Preprint
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 algebroids. This allows the introduction of a possibly non-flat connection $\nabla$ on this bundle, after also introducing an additional 2-form $\zeta$ in the field strength. We...
Thesis
We study for which polynomials $F$ a thin shell wormhole with a continuous metric (connecting two Schwarzschild spacetimes of the same mass) satisfy the null energy condition (NEC) in $F(R)$-gravity. We avoid junction conditions by using the mathematical framework of the Colombeau algebra which describes a generalized framework of the distributiona...

Projects

Projects (2)
Archived project
Project
The standard model of elementary particles is described by particular Yang-Mills gauge theory (in particular, for the structure group U(1) times SU(2) times SU(3)), which in turn is based on principal bundles for Lie group actions. The Poisson sigma model can be viewed as a topological Chern-Simons type of gauge theory the Lie algebroid T*M of a Poisson manifold (M,Pi). In 2004 I made a first attempt to generalize this setting to non-topological theories (my article titled ''Algebroid Yang-Mills theories'', but cf also the preparational works performed together with Martin Bojowald, Melchior Grützman and in particular Alexei Kotov in the years around this one). In 2015, Alexei and I proposed a full-fleged extension of the standard model based on Lie groupoids or, more generally, Lie algebroids. This project is about developing this theory further, on the mathematical but eventually also on the physics level.