22 citations · 66 across the 7 of their papers we have counts for
8 papers
A Smooth Model for the String Group
Thomas Nikolaus, Christoph Sachse, Christoph Wockel
We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model. To this en…
Fuzzy Scalar Field Theory as Matrix Quantum Mechanics
Matthias Ihl, Christoph Sachse, Christian Saemann
We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-d…
Superconformal Algebras and Supersymmetric Integrable Flows
Christoph Sachse, Partha Guha, Chandrashekar Devchand
This paper has been withdrawn by the authors. Because of a misunderstanding, the paper was submitted prematurely to the arXiv. A replacement will follow.
The diffeomorphism supergroup of a finite-dimensional supermanifold
Christoph Sachse, Christoph Wockel
Using the categorical description of supergeometry we give an explicit construction of the diffeomorphism supergroup of a compact finite-dimensional supermanifold. The construction…
Global Analytic Approach to Super Teichmueller Spaces
Christoph Sachse
In this thesis we investigate a new formalism for supergeometry which focuses on the categorical properties of the theory. This approach is our main tool in the subsequent investig…
A Categorical Formulation of Superalgebra and Supergeometry
Christoph Sachse
We reformulate superalgebra and supergeometry in completely categorical terms by a consequent use of the functor of points. The increased abstraction of this approach is rewarded b…