Orateur
Description
In this talk we will illustrate how quasi-Hopf algebras can provide a more flexible and powerful treatment of continuous symmetries than the usual Lie groups and the associated Lie algebras. As an example, we will study the global symmetry of $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory, which can be obtained from the orbifold projection of the $\mathcal{N}=4$ super-Yang-Mills theory by making an exactly marginal deformation. The superconformal symmetry of the parent $\mathcal{N}=4$ super-Yang-Mills theory is characterized by the Lie superalgebra $psu(2,2|4)$, which seems to be broken to $u(2,2|2)$ in the $\mathcal{N}=2$ quiver gauge theory. We will show that the broken generators can be upgraded to quantum generators. As a result, the $\mathcal{N}=2$ quiver gauge theory in fact has the full $\mathcal{N}=4$ superconformal symmetry, albeit in a quantum deformed way.
| Type of contribution | Contributed Talk or Poster |
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