All Outputs (5)

Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms (2014)
Journal Article
Barnes, G. E., Schenkel, A., & Szabo, R. J. (2015). Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms. Journal of Geometry and Physics, 89, 111-152. https://doi.org/10.1016/j.geomphys.2014.12.005

We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quasi-Hopf algebra. We enlarge the morphisms of the monoidal category of A... Read More about Nonassociative geometry in quasi-Hopf representation categories I: bimodules and their internal homomorphisms.

Noncommutative connections on bimodules and Drinfeld twist deformation (2014)
Journal Article
Aschieri, P., & Schenkel, A. (2014). Noncommutative connections on bimodules and Drinfeld twist deformation. Advances in Theoretical and Mathematical Physics, 18(3), 513-612. https://doi.org/10.4310/atmp.2014.v18.n3.a1

Given a Hopf algebra H, we study modules and bimodules over an algebra A that carry an H-action, as well as their morphisms and connections. Bimodules naturally arise when considering noncommutative analogues of tensor bundles. For quasitriangular Ho... Read More about Noncommutative connections on bimodules and Drinfeld twist deformation.

Locally Covariant Quantum Field Theory with External Sources (2014)
Journal Article
Fewster, C. J., & Schenkel, A. (2015). Locally Covariant Quantum Field Theory with External Sources. Annales Henri Poincaré, 16(10), 2303-2365. https://doi.org/10.1007/s00023-014-0372-y

© 2014, Springer Basel. We provide a detailed analysis of the classical and quantized theory of a multiplet of inhomogeneous Klein–Gordon fields, which couple to the spacetime metric and also to an external source term; thus the solutions form an aff... Read More about Locally Covariant Quantum Field Theory with External Sources.

A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., Hack, T. P., & Schenkel, A. (2014). A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds. Communications in Mathematical Physics, 332(1), 477-504. https://doi.org/10.1007/s00220-014-2100-3

© Springer-Verlag Berlin Heidelberg 2014. The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assig... Read More about A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds.

Quantized Abelian principal connections on Lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., & Schenkel, A. (2014). Quantized Abelian principal connections on Lorentzian manifolds. Communications in Mathematical Physics, 330(1), 123–152. https://doi.org/10.1007/s00220-014-1917-0

We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We work within an appropriate differential geometric setting... Read More about Quantized Abelian principal connections on Lorentzian manifolds.