Lattice supersymmetry with Hopf algebra for the link approach (2009)
D'Adda, Alessandro, Kawamoto, Noboru, Saito, Jun
A formalism of lattice supersymmetry based on a lattice-deformed superalgebra which was originally introduced in the link approach formulation is presented. We propose that the superalgebra can in...
Lattice Supersymmetry: Some Ideas from Low Dimensional Models (2009)
D'Adda, Alessandro, Feo, Alessandra, Kanamori, Issaku, Kawamoto, Noboru, Saito, Jun
In the framework of the so called link approach we study exact lattice supersymmetry for the simplest supersymmetric model: N=1 supersymmetry in D=1. The model is described by a lattice with spacing...
Phase diagram and critical point evolution in NLO and NNLO strong coupling lattice QCD (2009)
Ohnishi, Akira, Miura, Kohtaroh, Nakano, Takashi Z., Kawamoto, Noboru
We investigate the chiral phase transition in the strong coupling lattice QCD (SC-LQCD) at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and...
Phase diagram evolution at finite coupling in strong coupling lattice QCD (2009)
Miura, Kohtaroh, Nakano, Takashi Z., Ohnishi, Akira, Kawamoto, Noboru
We investigate the chiral phase transition in the strong coupling lattice QCD at finite temperature and density with finite coupling effects. We adopt one species of staggered fermion, and develop an...
Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra (2009)
D'Adda, Alessandro, Kawamoto, Noboru, Saito, Jun
The lattice superalgebra of the link approach is shown to satisfy a Hopf algebraic supersymmetry where the difference operator is introduced as a momentum operator. The breakdown of the Leibniz rule...
Matrix formulation of superspace on 1D lattice with two supercharges (2008)
Arianos, Sergio, D'Adda, Alessandro, Feo, Alessandra, Kawamoto, Noboru, Saito, Jun
Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a...
Kawamoto, Noboru, Miura, Kohtaroh, Ohnishi, Akira
We investigate the meson mass spectrum in the strong coupling limit of lattice QCD with one species of staggered fermion for the SU(N_c) color gauge group, including N_c=3. We analytically derive...
Lattice Formulation of the N=4 D=3 Twisted Super Yang-Mills (2007)
D'Adda, Alessandro, Kanamori, Issaku, Kawamoto, Noboru, Nagata, Kazuhiro
A lattice formulation of a three dimensional super Yang-Mills model with a twisted N=4 supersymmetry is proposed. The extended supersymmetry algebra of all eight supercharges is fully and exactly...
Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions (2007)
D'Adda, Alessandro, Kanamori, Issaku, Kawamoto, Noboru, Nagata, Kazuhiro
We propose a lattice formulation of three dimensional super Yang-Mills model with a twisted N=4 supersymmetry. The extended supersymmetry algebra of all the eight supercharges is fully and exactly...
Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions (2005)
D'Adda, Alessandro, Kanamori, Issaku, Kawamoto, Noboru, Nagata, Kazuhiro
We propose a lattice action for two dimensional super Yang-Mills theory with a twisted N=2 supersymmetry. The extended supersymmetry is fully and exactly realized on the lattice. The method employed...
Kato, Junji, Kawamoto, Noboru, Miyake, Akiko
We propose N=4 twisted superspace formalism in four dimensions by introducing Dirac-Kahler twist. In addition to the BRST charge as a scalar counter part of twisted supercharge we find vector and...
Twisted N=2 exact SUSY on the lattice for BF and Wess-Zumino (2004)
D'Adda, Alessandro, Kanamori, Issaku, Kawamoto, Noboru, Nagata, Kazuhiro
We formulate exact supersymmetric models on a lattice. We introduce noncommutativity to ensure the Leibniz rule. With the help of superspace formalism, we give supertransformations which keep the N=2...
Twisted Superspace on a Lattice (2004)
D'Adda, Alessandro, Kanamori, Issaku, Kawamoto, Noboru, Nagata, Kazuhiro
We propose a new formulation which realizes exact twisted supersymmetry for all the supercharges on a lattice by twisted superspace formalism. We show explicit examples of N=2 twisted supersymmetry...
Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-K\"ahler Fermion Mechanism (2003)
Kato, Junji, Kawamoto, Noboru, Uchida, Yukiya
We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudo scalar super charges and the N=2 spinor super charges is...
Kanamori, Issaku, Kawamoto, Noboru
We formulate Dirac-Kaehler fermion action by introducing a new Clifford product with noncommutative differential form on a lattice. Hermiticity of the Dirac-Kaehler action requires to choose the...
Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity (2002)
Kawamoto, Noboru, Yotsuji, Kenji
We numerically investigate the fractal structure of two-dimensional quantum gravity coupled to matter central charge c for $-2 \leq c \leq 1$. We reformulate Q-state Potts model into the model which...
Generalized Gauge Theories and Weinberg-Salam Model with Dirac-K\"ahler Fermions (2000)
Kawamoto, Noboru, Tsukioka, Takuya, Umetsu, Hiroshi
We extend previously proposed generalized gauge theory formulation of Chern-Simons type and topological Yang-Mills type actions into Yang-Mills type actions. We formulate gauge fields and...
4-dimensional BF Gravity on the Lattice (1999)
Kawamoto, Noboru, Sato, Noriaki, Uchida, Yukiya
We propose the lattice version of $BF$ gravity action whose partition function leads to the product of a particular form of 15-$j$ symbol which corresponds to a 4-simplex. The action is explicitly...
Kawamoto, Noboru, Tsukioka, Takuya
We investigate the generalized gauge theory which has been proposed previously and show that in two dimensions the instanton gauge fixing of the generalized topological Yang-Mills action leads to a...
Non-String Pursuit towards Unified Model on the Lattice (1999)
Non-standard overview on the possible formulation towards a unified model on the lattice is presented. It is based on the generalized gauge theory which is formulated by differential forms and thus...
Quantization of Infinitely Reducible Generalized Chern-Simons Actions in Two Dimensions (1997)
Kawamoto, Noboru, Suehiro, Kazuhiko, Tsukioka, Takuya, Umetsu, Hiroshi
We investigate the quantization of two-dimensional version of the generalized Chern-Simons actions which were proposed previously. The models turn out to be infinitely reducible and thus we need...
Quantization of $gl(1,{\bf R})$ Generalized Chern-Simons Theory in 1+1 Dimensions (1996)
Kawamoto, Noboru, Ozawa, Eisaku, Suehiro, Kazuhiko
We present a quantization of previously proposed generalized Chern-Simons theory with $gl(1,{\bf R})$ algebra in 1+1 dimensions. This simplest model shares the common features of generalized CS...
Fractal Structure of Quantum Gravity in Two Dimensions (1993)
Recent numerical results on the fractal structure of two-dimensional quantum gravity coupled to $c=-2$ matter are reviewed. Analytic derivation of the fractal dimensions based on the Liouville theory...