15–19 Jul 2024
Bay Campus, Swansea University
Europe/London timezone

Yangians and R-matrices for cotangent Lie algebras

18 Jul 2024, 14:00
20m
Computational Foundry Building (Bay Campus, Swansea University)

Computational Foundry Building

Bay Campus, Swansea University

Speaker

Raschid Abedin

Description

This talk is about a canonical quantization of Lie bialgebra structures on the loop algebra with coefficients in the semi-direct product of a simple complex Lie algebra and its dual. The quantization gives rise to twists of the natural analog of the Yangian for this algebra. The Yangian admits a meromorphic R-matrix, which relates its coproduct with a meromorphic coproduct. The construction of the Yangian is motivated by the fact that its representations can be interpreted as perturbative line operators in a 4d holomorphic topological gauge theory. This talk is based on the following joint work with Wenjun Niu: arXiv:2405.19906.

Author

Raschid Abedin

Presentation materials

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