27–30 Sept 2022
DESY Hamburg
Europe/Berlin timezone

Hidden symmetries in 4D $\mathcal{N}=2$ SCFTs

28 Sept 2022, 17:00
20m
Seminar Room 2

Seminar Room 2

Strings & Mathematical Physics Parallel Session Strings

Speaker

Hanno Bertle

Description

4D $\mathcal{N}=2$ SCFTs obtained from orbifolding $\mathcal{N}=4$ SYM and then performing a marginal deformation exhibit hidden symmetries. Namely, the orbifolding procedure breaks down some actions of the generators coming from $\mathcal{N}=4$. However, by employing a non-trivial co-product involving a (Drinfeld) twist, the actions of the broken generators can be ``restored'' as generators of a hidden symmetry. In my talk I will focus on the particular example of the R-symmetry group of the $\mathbb{Z}_2$ quiver theory $SU(N) \times SU(N)$ in order to demonstrate some novel features of such symmetries. In particular, the hidden symmetry exhibited by this model allows one to relate $\frac{1}{2}$-BPS states of the $\mathcal{N}=2$ SCFTs multiplets reminiscent of $\mathcal{N}=4$ SYM.

Primary author

Hanno Bertle

Presentation materials

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