2021年1月

# Superconformal index with surface defects for class ${\cal S}_k$

Nuclear Physics B
• Yuto Ito
• ,
• Yutaka Yoshida

962

We study surface defects in 4d $\mathcal{N}=1$ $SU(N)$ superconformal gauge
theories of class $\mathcal{S}_k$ obtained from the 6d (1,0) theories of type
$A_{N-1}$, which are worldvolume theories on $N$ M5-branes at
$\mathbb{C}^2/\mathbb{Z}_k$ singularities, compactified on Riemann surfaces
with punctures. First we apply a method based on Riemann surface description
and obtain the superconformal index of the theories in the presence of surface
defects labelled by arbitrary symmetric representations of $su(N)$. Then we
propose another description for the same surface defects, which involves 4d-2d
coupled systems, by identifying which 2d $\mathcal{N}=(0,2)$ theories should be
coupled. We compute the index of the 4d-2d systems and reproduce the results
obtained from the first method. Finally we study the 2d TQFT structure of the
index for class $\mathcal{S}_{k}$ theories by obtaining several eigenfunctions
and eigenvalues of the difference operators that capture the surface defects
and checking their relation.

リンク情報
arXiv
http://arxiv.org/abs/arXiv:1606.01653
URL
http://arxiv.org/abs/1606.01653v1
URL
http://arxiv.org/pdf/1606.01653v1 本文へのリンクあり

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