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- Maxwell Institute for Mathematical SciencesGB436 papers
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4 papers · 2 filters
Wavefront sets and polarizations on supermanifolds
Claudio Dappiaggi, Heiko Gimperlein, Simone Murro +1
In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt…
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
Jean Avan, Vincent Caudrelier, Anastasia Doikou +1
We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…
Homotopy colimits and global observables in Abelian gauge theory
Marco Benini, Alexander Schenkel, Richard J. Szabo
We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifold…
Supergeometry in locally covariant quantum field theory
Thomas-Paul Hack, Florian Hanisch, Alexander Schenkel
In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manif…