Matching higher symmetries across Intriligator-Seiberg duality

Abstract We study higher symmetries and anomalies of 4d so $$ \mathfrak{so} $$ (2n c ) gauge theory with 2n f flavors. We find that they depend on the parity of n c and n f , the global form of the gauge group, and the discrete theta angle. The contribution from the fermions plays a central role in...

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Bibliographic Details
Main Authors: Yasunori Lee, Kantaro Ohmori, Yuji Tachikawa
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2021)114
Description
Summary:Abstract We study higher symmetries and anomalies of 4d so $$ \mathfrak{so} $$ (2n c ) gauge theory with 2n f flavors. We find that they depend on the parity of n c and n f , the global form of the gauge group, and the discrete theta angle. The contribution from the fermions plays a central role in our analysis. Furthermore, our conclusion applies to N $$ \mathcal{N} $$ = 1 supersymmetric cases as well, and we see that higher symmetries and anomalies match across the Intriligator-Seiberg duality between so $$ \mathfrak{so} $$ (2n c ) ↔ so $$ \mathfrak{so} $$ (2n f − 2n c + 4).
ISSN:1029-8479