4,418 research outputs found
N=4 Supersymmetric Yang-Mills Multiplet in Non-Adjoint Representations
We formulate a theory for N=4 supersymmetric Yang-Mills multiplet in a
non-adjoint representation R of SO(N) as an important application of our
recently-proposed model for N=1 supersymmetry. This system is obtained by
dimensional reduction from an N=1 supersymmetric Yang-Mills multiplet in
non-adjoint representation in ten dimensions. The consistency with
supersymmetry requires that the non-adjoint representation R with the indices
i, j, ... satisfy the three conditions \eta^{i j} = \delta^{i j}, (T^I)^{i j} =
- (T^I)^{j i} and (T^I)^{[ i j |} (T^I)^{| k ] l} = 0 for the metric \eta^{i j}
and the generators T^I, which are the same as the N=1 case.Comment: 6 pages, no figures, accepted for publication in Phys. Rev.
Phase Diagram of a 2D Vertex Model
Phase diagram of a symmetric vertex model which allows 7 vertex
configurations is obtained by use of the corner transfer matrix renormalization
group (CTMRG), which is a variant of the density matrix renormalization group
(DMRG). The critical indices of this model are identified as and
.Comment: 2 pages, 5 figures, short not
Stochastic Light-Cone CTMRG: a new DMRG approach to stochastic models
We develop a new variant of the recently introduced stochastic
transfer-matrix DMRG which we call stochastic light-cone corner-transfer-matrix
DMRG (LCTMRG). It is a numerical method to compute dynamic properties of
one-dimensional stochastic processes. As suggested by its name, the LCTMRG is a
modification of the corner-transfer-matrix DMRG (CTMRG), adjusted by an
additional causality argument. As an example, two reaction-diffusion models,
the diffusion-annihilation process and the branch-fusion process, are studied
and compared to exact data and Monte-Carlo simulations to estimate the
capability and accuracy of the new method. The number of possible Trotter steps
of more than 10^5 shows a considerable improvement to the old stochastic TMRG
algorithm.Comment: 15 pages, uses IOP styl
Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix Renormalization Group
We report a way of obtaining a spin configuration snapshot, which is one of
the representative spin configurations in canonical ensemble, in a finite area
of infinite size two-dimensional (2D) classical lattice models. The corner
transfer matrix renormalization group (CTMRG), a variant of the density matrix
renormalization group (DMRG), is used for the numerical calculation. The matrix
product structure of the variational state in CTMRG makes it possible to
stochastically fix spins each by each according to the conditional probability
with respect to its environment.Comment: 4 pages, 8figure
Incommensurate structures studied by a modified Density Matrix Renormalization Group Method
A modified density matrix renormalization group (DMRG) method is introduced
and applied to classical two-dimensional models: the anisotropic triangular
nearest- neighbor Ising (ATNNI) model and the anisotropic triangular
next-nearest-neighbor Ising (ANNNI) model. Phase diagrams of both models have
complex structures and exhibit incommensurate phases. It was found that the
incommensurate phase completely separates the disordered phase from one of the
commensurate phases, i. e. the non-existence of the Lifshitz point in phase
diagrams of both models was confirmed.Comment: 14 pages, 14 figures included in text, LaTeX2e, submitted to PRB,
presented at MECO'24 1999 (Wittenberg, Germany
Critical Point of a Symmetric Vertex Model
We study a symmetric vertex model, that allows 10 vertex configurations, by
use of the corner transfer matrix renormalization group (CTMRG), a variant of
DMRG. The model has a critical point that belongs to the Ising universality
class.Comment: 2 pages, 6 figures, short not
Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems
We present a system of a self-dual Yang-Mills field and a self-dual
vector-spinor field with nilpotent fermionic symmetry (but not supersymmetry)
in 2+2 dimensions, that generates supersymmetric integrable systems in lower
dimensions. Our field content is (A_\mu{}^I, \psi_\mu{}^I, \chi^{I J}), where I
and J are the adjoint indices of arbitrary gauge group. The \chi^{I J} is a
Stueckelberg field for consistency. The system has local nilpotent fermionic
symmetry with the algebra \{N_\alpha{}^I, N_\beta{}^J \} = 0. This system
generates supersymmetric Kadomtsev-Petviashvili equations in D=2+1, and
supersymmetric Korteweg-de Vries equations in D=1+1 after appropriate
dimensional reductions. We also show that a similar self-dual system in seven
dimensions generates self-dual system in four dimensions. Based on our results
we conjecture that lower-dimensional supersymmetric integral models can be
generated by non-supersymmetric self-dual systems in higher dimensions only
with nilpotent fermionic symmetries.Comment: 15 pages, no figure
- …