All Outputs (4)

Dirac operators on noncommutative hypersurfaces (2020)
Journal Article
Nguyen, H., & Schenkel, A. (2020). Dirac operators on noncommutative hypersurfaces. Journal of Geometry and Physics, 158, Article 103917. https://doi.org/10.1016/j.geomphys.2020.103917

© 2020 Elsevier B.V. This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures f... Read More about Dirac operators on noncommutative hypersurfaces.

Operads for algebraic quantum field theory (2020)
Journal Article
Benini, M., Schenkel, A., & Woike, L. (2021). Operads for algebraic quantum field theory. Communications in Contemporary Mathematics, 23(2), Article 2050007. https://doi.org/10.1142/S0219199720500078

We construct a colored operad whose category of algebras is the category of algebraic quantum field theories. This is achieved by a construction that depends on the choice of a category, whose objects provide the operad colors, equipped with an addit... Read More about Operads for algebraic quantum field theory.

On the relationship between classical and deformed Hopf fibrations (2020)
Journal Article
Brzezi?ski, T., Gaunt, J., & Schenkel, A. (2020). On the relationship between classical and deformed Hopf fibrations. Symmetry, Integrability and Geometry: Methods and Applications, 16, https://doi.org/10.3842/sigma.2020.008

The ?-deformed Hopf fibration S3??S2 over the commutative 2-sphere is compared with its classical counterpart. It is shown that there exists a natural isomorphism between the corresponding associated module functors and that the affine spaces of clas... Read More about On the relationship between classical and deformed Hopf fibrations.

Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory (2020)
Journal Article
Mathieu, P., Murray, L., Schenkel, A., & Teh, N. J. (2020). Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory. Letters in Mathematical Physics, 110, 1559–1584. https://doi.org/10.1007/s11005-020-01269-x

We provide an elegant homological construction of the extended phase space for linear Yang-Mills theory on an oriented and time-oriented Lorentzian manifold M with a time-like boundary @M that was proposed by Donnelly and Freidel [JHEP 1609, 102 (201... Read More about Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory.