43 citations · 43 across the 3 of their papers we have counts for
3 papers
math.GT2026
R-equivalence of quandle colorings and inner automorphisms
Mai Sato
R-equivalence is an equivalence relation on the set of colorings of an oriented knot diagram by a quandle. In this paper, we show that a certain subgroup of the inner automorphism…
math.GT2025
R-equivalence classes of -colorings of torus knots
Mai Sato
We introduce a new equivalence relation, named R-equivalence relation, on the set of colorings of an oriented knot diagram by a quandle. We determine the R-equivalence classes of c…
hep-th2023★ 43 cited
AdS/BCFT with Brane-Localized Scalar Field
Hiroki Kanda, Masahide Sato, Yu-ki Suzuki +2
In this paper, we study the dynamics of end-of-the-world (EOW) branes in AdS with scalar fields localized on the branes as a new class of gravity duals of CFTs on manifolds with bo…