SO Hiroto

J-GLOBAL         Last updated: Jul 5, 2019 at 14:22
 
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Name
SO Hiroto
Affiliation
Ehime University

Research Areas

 
 

Published Papers

 
Daisuke Kadoh, Takeru Kamei, Hiroto So
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS   2019(6) 063B04   Jun 2019   [Refereed]
We study a cyclic Leibniz rule, which provides a systematic approach to
lattice supersymmetry, using a numerical method with a transfer matrix. The
computation is carried out in N=2 supersymmetric quantum mechanics with the
phi^6-interaction for w...
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS   2018(12) 121B01   Dec 2018   [Refereed]
We construct N=2 supersymmetric SYK model on one-dimensional (euclidean time)
lattice. One nilpotent supersymmetry is exactly realized on the lattice in use
of the cyclic Leibniz rule (CLR).
Kato Mitsuhiro, Sakamoto Makoto, So Hiroto
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS   2017(4) 043B09   Apr 2017   [Refereed]
Hiroto So, Kazunari Takenaga
Physical Review D   88(1) 016001   Jul 2013   [Refereed]
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
JOURNAL OF HIGH ENERGY PHYSICS   1305 089   Mar 2013   [Refereed]
It is old folklore that the violation of Leibniz rule on a lattice is an
obstruction for constructing a lattice supersymmetric model. While it is still
true for full supersymmetry, we show that a slightly modified form of the
Leibniz rule, which w...
Ishiyama Kouhei, Murata Michika, So Hiroto, Takenaga Kazunori
PROGRESS OF THEORETICAL PHYSICS   123(2) 257-269   Feb 2010   [Refereed]
Kato Mitsuhiro, Sakamoto Makoto, So Hiroto
JOURNAL OF HIGH ENERGY PHYSICS   0805(5) 057   May 2008   [Refereed]
We study a product rule and a difference operator equipped with Leibniz rule
in a general framework of lattice field theory. It is shown that the difference
operator can be determined by the product rule and some initial data through
the Leibniz r...
Morio Hatakeyama, Hideyuki Sawanaka, Hiroto So
PROGRESS OF THEORETICAL PHYSICS   117 715-728   2007   [Refereed]
To obtain a light mode in two-dimensional staggered fermions, we introduce
four new local operators keeping the rotational invariance for a staggered
Dirac operator. To split masses of tastes, three cases are considered. The mass
matrix and the pr...
Masashi Hayakawa, Hiroto So, Hiroshi Suzuki
PROGRESS OF THEORETICAL PHYSICS   116 197-215   Apr 2006   [Refereed]
We construct a lattice Dirac operator of overlap type that describes the
propagation of a Dirac fermion in an external gravitational field. The local
Lorentz symmetry is manifestly realized as a lattice gauge symmetry, while it
is believed that th...
Hiroto So, Hiroshi Suzuki
PROGRESS OF THEORETICAL PHYSICS   115 467-471   2006   [Refereed]
A zero-dimensional analogue of Witten's global gauge anomaly is considered.
For example, a zero-dimensional reduction of the two-dimensional Tex
Yang-Mills theory with a single Majorana-Weyl fermion in the fundamental
representation suffers ...

Misc

 
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
   Nov 2014
We propose a lattice model of supersymmetric complex quantum mechanics which
realizes the non-renormalization theorem on a lattice. In our lattice model,
the Leibniz rule in the continuum, which cannot hold on a lattice due to a
no-go theorem, is ...
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
   Nov 2013
For the purpose of constructing supersymmetric(SUSY) theories on lattice, we
propose a new type relation on lattice -cyclic Leibniz rule(CLR)- which is
slightly different from an ordinary Leibniz rule. Actually, we find that CLR
can enlarge the nu...
Hiroto So, Kazunori Takenaga
   Feb 2013
We introduce a 4-dimensional cutoff in the scenario of gauge-Higgs
unification to control the ultraviolet behavior. A one-loop effective potential
for a Higgs field and the Higgs mass are obtained with the cutoff. We find an
{\it interrelation} be...
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
   Dec 2012
In a finite volume system, we prove a no-go theorem on a Leibniz rule with a
care of locality argument on latttice. The new possibility on the Leibniz rule
solutions on lattice is discussed. Although the new solution admits a local
difference oper...
Michika Murata, Hiroto So, Kazunori Takenaga
   Dec 2010
In an SU(2) lattice gauge theory with a Z2 orbifolded extra dimension, the
new symmetry which is called as a stick symmetry is useful in understanding the
bulk transition. We discuss the relation with the Fradkin-Shenker's phase
diagram as well. A...

Conference Activities & Talks

 
Sign problem and CLR
SO Hiroto
Shikoku Siminar 2018   1 Dec 2018   
Numerical analysis of supersymmetric quantum mechanics on lattice with cyclic Leibniz rule
KADOH Diasuke, KAMEI Takeru, SO Hiroto
2018 Autumn Meeting of Japan Physical Society    15 Sep 2018   
Cohomological property of CLR-realized supersymmetric quantum mechanics on lattice
KATO Mitsuhiro, SAKAMOTO Makoto, SO Hiroto
2016 Annual Meeting of Japan Physical Society   22 Mar 2016   
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
Proceedings of Science   1 Jan 2014   
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. We propose a lattice model of supersymmetric complex quantum mechanics which realizes the non-renormalization theorem on a lat...
Mitsuhiro Kato, Makoto Sakamoto, Hiroto So
Proceedings of Science   1 Jan 2013   
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. For the purpose of constructing supersymmetric(SUSY) theories on lattice, we propose a new type relation on lattice -cyclic Le...

Association Memberships

 
 

Research Grants & Projects

 
Representation of Leibniz rule in a lattice field theory and construction of lattice supersymmetry
Japan Society for the Promotion of Science: Grant-in-Aid for Scientific Research(C)
Project Year: Apr 2013 - Mar 2018    Investigator(s): SO Hiroto