AbstractNon-invertible symmetry is a type of symmetry that does not obey any group law, and their recent discovery in 4D led to significant research interest both formally and phenomenologically. In this talk, we present a new general perspective on constructing non-invertible duality symmetries in the language of relative and absolute QFT, which not only reproduces non-invertible duality symme...
AbstractWe study some natural representations of current Lie algebras $g\otimes \Bbbk[t]$, called Weyl modules. They are natural analogues of irreducible representations of simple Lie algebras. There are several current analogues of classical theorems about Lie algebras where these modules «play role» of irreducible modules. In my talk I will explain analogues of duality theorems, namely Peter-...
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