Speaker
Dr
Okuto Morikawa
(Osaka University)
Description
We consider gauge theories on a four-dimensional torus, where the instanton number is restricted to an integral multiple of $p$. This theory possesses the nontrivial higher-group structure, which can be regarded as a generalization of the Green-Schwarz mechanism, between the $1$-form center and $\mathbb{Z}_p$ $3$-form symmetries. Following recent studies of the lattice construction of the $U(1)/\mathbb{Z}_q$ and $SU(N)/\mathbb{Z}_N$ principal bundles, we examine how such a structure is realized on the basis of lattice regularization.
| Topical area | Theoretical Developments |
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Primary author
Dr
Okuto Morikawa
(Osaka University)
Co-authors
Mr
Hiroki Wada
(Osaka University)
Mr
Motokazu Abe
(Kyushu University)
Dr
Naoto Kan
(Osaka University)
Mr
Soma Onoda
(Kyushu University)
Mr
Yuta Nagoya
(Osaka University)