Leander Wyss

Leander Wyss


Postgraduate Research Student

Academic and research departments

Department of Mathematics.

My research project

My publications

Publications

Juan Miguel Nieto García, Alessandro Torrielli, Leander Wyss (2021)Boosts superalgebras based on centrally-extended su(1|1)2, In: Journal of geometry and physics164104172 Elsevier

In this paper, we studied the boost operator in the setting of su(1|1)2. We find a family of different algebras where such an operator can consistently appear, which we classify according to how the two copies of the su(1|1)2 interact with each other. Finally, we construct coproduct maps for each of these algebras and discuss the algebraic relationships among them.

Juan Nieto Garcia, Alessandro Torrielli, Leander Wyss (2020)Boost generator in AdS3 integrable superstrings for general braiding, In: Journal of High Energy Physics Springer Verlag

In this paper we find a host of boost operators for a very general choice of coproducts in AdS3- inspired scattering theories, focusing on the massless sector, with and without an added trigonometric deformation. We find that the boost coproducts are exact symmetries of the R-matrices we construct, besides fulfilling the relations of modified Poincar´e-type superalgebras. In the process, we discover an ambiguity in determining the boost coproduct which allows us to derive differential constraints on our R-matrices. In one particular case of the trigonometric deformation, we find a non-coassociative structure which satisfies the axioms of a quasi-Hopf algebra.