4,302 research outputs found
Some Classical Solutions of Membrane Matrix Model Equations
Some exact solutions to the classical matrix model equations that arise in the context of M(embrane) theory are given, and their topological nature is identified
A dynamical symmetry for supermembranes
A dynamical symmetry for supersymmetric extended objects is given.Comment: 3 page
Conceptual design of a 1-MW CW X-band transmitter for planetary radar
A proposed conceptual design to increase the output power of an existing X-band radar transmitter used for planetary radar exploration from 365 kW to 1 MW CW is presented. The basic transmitter system requirements as dictated by the specifications for the radar are covered. The characteristics and expected performance of the high-power klystrons are considered, and the transmitter power amplifier system is described. Also included is the design of all of the associated high-power microwave components, the feed system, and the phase-stable exciter. The expected performance of the beam supply, heat exchanger, and monitor and control devices is also presented. Finally, an assessment of the state-of-the-art technology needed to meet system requirements is given and possible areas of difficulty are summarized
Why Matrix theory works for oddly shaped membranes
We give a simple proof of why there is a Matrix theory approximation for a
membrane shaped like an arbitrary Riemann surface. As corollaries, we show that
noncompact membranes cannot be approximated by matrices and that the Poisson
algebra on any compact phase space is U(infinity). The matrix approximation
does not appear to work properly in theories such as IIB string theory or
bosonic membrane theory where there is no conserved 3-form charge to which the
membranes couple.Comment: 8 pages, 4 figures, revtex; references adde
Nahm's equations, domain walls, and D-strings in
We consider the following two problems: classical domain walls in the
mass deformation of the maximally supersymmetric Yang Mills theory, and
D-strings as external magnetic sources in the context of the AdS/CFT
correspondence. We show that they are both described by Nahm's equations with
unconventional boundary conditions, and analyze the relevant moduli space of
solutions. We argue that general `fuzzy sphere' configurations of D-strings in
AdS correspond to Wilson-'t Hooft lines in higher representations of the
dual SU(n) gauge theory.Comment: Latex, 26 pages, 3 figures, uses JHEP.cls; v4: discussion of
holographic interpretation of `fuzzy D-string' configurations modified. Minor
esthetic changes otherwis
Quantized Nambu-Poisson Manifolds and n-Lie Algebras
We investigate the geometric interpretation of quantized Nambu-Poisson
structures in terms of noncommutative geometries. We describe an extension of
the usual axioms of quantization in which classical Nambu-Poisson structures
are translated to n-Lie algebras at quantum level. We demonstrate that this
generalized procedure matches an extension of Berezin-Toeplitz quantization
yielding quantized spheres, hyperboloids, and superspheres. The extended
Berezin quantization of spheres is closely related to a deformation
quantization of n-Lie algebras, as well as the approach based on harmonic
analysis. We find an interpretation of Nambu-Heisenberg n-Lie algebras in terms
of foliations of R^n by fuzzy spheres, fuzzy hyperboloids, and noncommutative
hyperplanes. Some applications to the quantum geometry of branes in M-theory
are also briefly discussed.Comment: 43 pages, minor corrections, presentation improved, references adde
Experimental Verification of Surface Vehicle Dynamics
Experimental verification of surface vehicle dynamic
Comments on the global constraints in light-cone string and membrane theories
In the light-cone closed string and toroidal membrane theories, we associate
the global constraints with gauge symmetries. In the closed string case, we
show that the physical states defined by the BRS charge satisfy the
level-matching condition. In the toroidal membrane case, we show that the
Faddeev-Popov ghost and anti-ghost corresponding to the global constraints are
essentially free even if we adopt any gauge fixing condition for the local
constraint. We discuss the quantum double-dimensional reduction of the wrapped
supermembrane with the global constraints.Comment: 12 pages, typos corrected, to appear in JHE
On a Matrix Model of Level Structure
We generalize the dimensionally reduced Yang-Mills matrix model by adding d=1
Chern-Simons term and terms for a bosonic vector. The coefficient, \kappa of
the Chern-Simons term must be integer, and hence the level structure. We show
at the bottom of the Yang-Mills potential, the low energy limit, only the
linear motion is allowed for D0 particles. Namely all the particles align
themselves on a single straight line subject to \kappa^2/r^2 repulsive
potential from each other. We argue the relevant brane configuration to be
D0-branes in a D4 after \kappa of D8's pass the system.Comment: 1+6 pages, No figure, LaTeX; Minor changes; To appear in Class.
Quant. Gra
Representation of SU(infinity) Algebra for Matrix Models
We investigate how the matrix representation of SU(N) algebra approaches that
of the Poisson algebra in the large N limit. In the adjoint representation, the
(N^2-1) times (N^2-1) matrices of the SU(N) generators go to those of the
Poisson algebra in the large N limit. However, it is not the case for the N
times N matrices in the fundamental representation.Comment: 8 page
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