40 citations · 177 across the 20 of their papers we have counts for
20 papers
Elements of Aomoto's generalized hypergeometric functions and a novel perspective on Gauss' hypergeometric differential equation
Yasuhiro Abe
We review Aomoto's generalized hypergeometric functions on Grassmannian spaces Gr(k +1, n+1). Particularly, we clarify integral representations of the generalized hypergeometric fu…
Abelian Chern-Simons theory on the torus and physical views on the Hecke operators
Yasuhiro Abe
In the previous paper arXiv:1711.07122, we show that a holomorphic zero-mode wave function in abelian Chern-Simons theory on the torus can be considered as a quantum version of a m…
Some properties of zero-mode wave functions in abelian Chern-Simons theory on the torus
Yasuhiro Abe
In geometric quantization a zero-mode wave function in abelian Chern-Simons theory on the torus can be defined as where $K(a…
A note on generalized hypergeometric functions, KZ solutions, and gluon amplitudes
Yasuhiro Abe
Some aspects of Aomoto's generalized hypergeometric functions on Grassmannian spaces are reviewed. Particularly, their integral representations in terms of twisted ho…
Holonomies of gauge fields in twistor space 7: an electroweak model
Yasuhiro Abe
We consider massive deformation of gauge bosons in a recently developed holonomy formalism and propose a novel electroweak model. The massive gauge bosons arise from massive…
Holonomies of gauge fields in twistor space 6: incorporation of massive fermions
Yasuhiro Abe
Following the previous paper arXiv:1205.4827, we formulate an S-matrix functional for massive fermion ultra-helicity-violating (UHV) amplitudes, i.e., scattering amplitudes of posi…