40 citations · 177 across the 20 of their papers we have counts for
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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…
Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
Yasuhiro Abe
Scattering amplitudes of gluons coupled with a pair of massive scalars, so-called massive scalar amplitudes, provide the simplest yet physically useful examples of massive amplitud…
Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
Yasuhiro Abe
We consider generalization of the Cachazo-Svrcek-Witten (CSW) rules to one-loop amplitudes of N=4 super Yang-Mills theory in a recently developed holonomy formalism in twistor spac…
Holonomies of gauge fields in twistor space 3: gravity as a square of N=4 theory
Yasuhiro Abe
In a recent paper, we show that an S-matrix functional for graviton amplitudes can be described by an N=8 supersymmetric gravitational holonomy operator in twistor space. In this p…
Application of abelian holonomy formalism to the elementary theory of numbers
Yasuhiro Abe
We consider an abelian holonomy operator in two-dimensional conformal field theory with zero-mode contributions. The analysis is made possible by use of a geometric-quantization sc…
Construction of Fuzzy Spaces and Their Applications to Matrix Models
Yasuhiro Abe
Quantization of spacetime by means of finite dimensional matrices is the basic idea of fuzzy spaces. There remains an issue of quantizing time, however, the idea is simple and it p…
Holonomies of gauge fields in twistor space 2: Hecke algebra, diffeomorphism, and graviton amplitudes
Yasuhiro Abe
We define a theory of gravity by constructing a gravitational holonomy operator in twistor space. The theory is a gauge theory whose Chan-Paton factor is given by a trace over elem…
Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
Yasuhiro Abe
We introduce a notion of holonomy in twistor space and construct a holonomy operator by use of a spinor-momenta formalism in twistor space. The holonomy operator gives a monodromy…
On the deconfining limit in (2+1)-dimensional Yang-Mills theory
Yasuhiro Abe
We consider (2+1)-dimensional Yang-Mills theory on in the framework of a Hamiltonian approach developed by Karabali, Kim and Nair. The deconfining l…
Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
Yasuhiro Abe
In M(atrix) theory, there exist membranes and longitudinal 5-branes (L5-branes) as extended objects. Transverse components of these brane solutions are known to be described by fuz…
An interpretation of multigraviton amplitudes
Yasuhiro Abe
We obtain alternative expressions for the multigraviton tree level amplitudes and discuss their general properties. In particular, by analogy with Yang-Mills theory, we find that s…
Multigluon amplitudes, constraints and the WZW model
Yasuhiro Abe, V. P. Nair, Mu-In Park
Classical Yang-Mills theory is defined by the superspace constraints. We obtain a solution of a subset of these constraints and show that it leads to the maximally hel…
Construction of fuzzy S^4
Yasuhiro Abe
We construct a fuzzy , utilizing the fact that is an bundle over . We find that a fuzzy can be described by a block-diagonal form whose embedding…
Noncommutative gravity: fuzzy sphere and others
Yasuhiro Abe, V. P. Nair
Gravity on noncommutative analogues of compact spaces can give a finite mode truncation of ordinary commutative gravity. We obtain the actions for gravity on the noncommutative two…