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Ich wusste es! #ichWussteEs CDU-Scholz ist schuld.

Ich wusste es! #ichWussteEs CDU-Scholz ist schuld.

Matter symmetries in supersymmetric standard models from non-invertible selection rules
Tatsuo Kobayashi, Hironobu Mita, Hajime Otsuka, Riku Sakuma
https://arxiv.org/abs/2506.10241

Matter symmetries in supersymmetric standard models from non-invertible selection rules
We discuss phenomenological implications of non-invertible selection rules in the framework of the supersymmetric standard model. We find that a remnant $\mathbb{Z}_2$ symmetry of fusion algebras which holds at all-loop order plays the role of $R$-parity, forbidding baryon and lepton violating operators. In addition, a combination of Standard Model gauge symmetry and the non-invertible selection rules lead to baryon triality and proton hexality that can protect the proton from decay. In general…

Structural Parameterizations of $k$-Planarity
Tatsuya Gima, Yasuaki Kobayashi, Yuto Okada
https://arxiv.org/abs/2506.10717 https://ar…

Structural Parameterizations of $k$-Planarity
The concept of $k$-planarity is extensively studied in the context of Beyond Planarity. A graph is $k$-planar if it admits a drawing in the plane in which each edge is crossed at most $k$ times. The local crossing number of a graph is the minimum integer $k$ such that it is $k$-planar. The problem of determining whether an input graph is $1$-planar is known to be NP-complete even for near-planar graphs [Cabello and Mohar, SIAM J. Comput. 2013], that is, the graphs obtained from planar graphs by…

On discrete gauging and non-invertible selection rules
Jun Dong, Tim Jeric, Tatsuo Kobayashi, Ryusei Nishida, Hajime Otsuka
https://arxiv.org/abs/2507.02375

On discrete gauging and non-invertible selection rules
We clarify selection rules of conjugacy classes of several finite discrete groups where we deal with both gauged and ungauged cases. We find that the selection rules enjoy finite Abelian or non-Abelian discrete symmetries originating from the inner and/or outer automorphism of underlying discrete groups. Since the selection rules of conjugacy classes do not obey conventional group-like selection rules, they open up new coupling selection rules of fields which are labeled by the conjugacy classe…