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arXiv · 2301.06561

Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs

Matteo Sacchi·Orr Sela·Gabi Zafrir
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Abstract

Many interesting phenomena in quantum field theory such as dualities and symmetry enhancements can be understood using higher dimensional constructions. In this paper, we study compactifications of the rank $1$ $5d$ Seiberg $E_{N_f+1}$ SCFTs to $3d$ on Riemann surfaces of genus $g>1$. We rely on the recent progress in the study of compactifications of $6d$ SCFTs to $4d$ and torus compactifications of $5d$ SCFTs to conjecture $3d$ $\mathcal{N}=2$ theories corresponding to the reduction of said $5d$ SCFTs on three punctured spheres. These can then be used to build $3d$ $\mathcal{N}=2$ models corresponding to compactifications on more general surfaces. The conjectured theories are tested by comparing their properties against those expected from the compactification picture.

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Matteo Sacchi, Orr Sela, Gabi Zafrir. 2023-01-16. Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs. https://doi.org/10.1007/jhep06(2023)085

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