Submissions from Takahiro Kawai

[1]  faKiv:2405.08501 [pdf]

Conformal limit in $4D$ gauge theory

Marco E. Cremonesi, Kazuyuki Miyazaki, Takahiro Kawai

Comments: 30 pages, 12 figures, typos corrected, references added

We study the conformal limit of the $4D$ gauge theory with $SU(2)$ gauge group. We consider the $4D$ gauge theory with $SU(2)$ gauge group and construct the conformally invariant conformal limit of the $4D$ gauge theory. There are two conformally invariant conformal limits in $4D$ gauge theory. In the first limit, the superconformal boundary condition is satisfied. In the second limit, the conformally invariant conformal boundary condition is violated.

[2]  faKiv:2405.08794 [pdf]

Cluster Diagrams of Gamma functions in the Minkowski spacetime

Takahiro Kawai, Yuta Hayashi, Kazuharu Toda

Comments: 10 pages, 3 figures, one table. Version to appear in EPJC

We study the Minkowski spacetime cluster diagram for a class of noncommutative non-commutative Gamma functions. We show that the cluster diagrams of the Minkowski spacetime are the same as the cluster diagrams of the Minkowski spacetime, but that there are only two Minkowski diagrams. We also illustrate the inverse clustering theorem and the 3D, 4D, and 5D Minkowski diagrams.