Representations of the Quantum Holonomy-Diffeomorphism Algebra

@article{Aastrup2017RepresentationsOT,
  title={Representations of the Quantum Holonomy-Diffeomorphism Algebra},
  author={Johannes Aastrup and J. M. Grimstrup},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
  • Johannes Aastrup, J. M. Grimstrup
  • Published 2017
  • Mathematics, Chemistry, Physics
  • arXiv: Mathematical Physics
  • In this paper we continue the development of Quantum Holonomy Theory, which is a candidate for a fundamental theory, by constructing separable strongly continuous representations of its algebraic foundation, the quantum holonomy-diffeomorphism algebra. Since the quantum holonomy-diffeomorphism algebra encodes the canonical commutation relations of a gauge theory these representations provide a possible framework for the kinematical sector of a quantum gauge theory. Furthermore, we device a… CONTINUE READING
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