58 research outputs found
On the Reduced SU(N) Gauge Theory in the Weyl-Wigner-Moyal Formalism
Weyl-Wigner-Moyal formalism is used to describe the large- limit of
reduced SU quenching gauge theory. Moyal deformation of Schild-Eguchi
action is obtained.Comment: 24 pages, phyzzx file, no figures, version to appear in Int. J. Mod.
Phys.
Remarks on 2+1 Self-dual Chern-Simons Gravity
We study 2+1 Chern-Simons gravity at the classical action level. In
particular we rederive the linear combinations of the ``standard'' and
``exotic'' Einstein actions, from the (anti) self-duality of the ``internal''
Lorentzian indices. The relation to a genuine four-dimensional (anti)self-dual
topological theory greatly facilitates the analysis and its relation to
hyperbolic three-dimensional geometry. Finally a non-abelian vector field
``dual'' action is also obtained.Comment: 16+1 pages, LaTeX file, no figures, clarifications and comments
added, typos corrected and one reference adde
Noncommutativity in quantum cosmology and the Hierarchy problem
We study the quantum cosmology of an empty (4+1)-dimensional Kaluza-Klein
cosmology with a negative cosmological constant and a FRW type metric with two
scale factors, one for 4-D universe and the other for one compact extra
dimension. By assuming the noncommutativity in the corresponding
mini-superspace we suggest a solution for the Hierarchy problem, at the level
of Wheeler-DeWitt equation.Comment: 7 pages; Title, abstract and text changed; references added; to
appear in PL
Gravitational Duality in MacDowell-Mansouri Gauge Theory
Strong-weak duality invariance can only be defined for particular sectors of
supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian
non-supersymmetric theories, dual theories with inverted couplings, have been
found. We show that an analogous procedure allows to find the dual action to
the gauge theory of gravity constructed by the MacDowell-Mansouri model plus
the superposition of a term.Comment: 9 pages, LaTeX, no figure
An Alternative Interpretation for the Moduli Fields of the Cosmology Associated to Type IIB Supergravity with Fluxes
We start with a particular cosmological model derived from type IIB
supergravity theory with fluxes, where usually the dilaton is interpreted as a
Quintessence field. Instead of that, in this letter we interpret the dilaton as
the dark matter of the universe. With this alternative interpretation we find
that in this supergravity model gives a similar evolution and structure
formation of the universe compared with the CDM model in the linear
regime of fluctuations of the structure formation. Some free parameters of the
theory are fixed using the present cosmological observations. In the non-linear
regimen there are some differences between the type IIB supergravity theory
with the traditional CDM paradigm. The supergravity theory predicts the
formation of galaxies earlier than the CDM and there is no density cusp in the
center of galaxies. These differences can distinguish both models and can give
a distinctive feature to the phenomenology of the cosmology coming from
superstring theory with fluxes.Comment: 7 pages, 5 figures, references added, minor modifications, typos
corrected. Version accepted for publication in IJMP
A Vector Non-abelian Chern-Simons Duality
Abelian Chern-Simons gauge theory is known to possess a `-self-dual'
action where its coupling constant is inverted {\it i.e.} . Here a vector non-abelian duality is found in the
pure non-abelian Chern-Simons action at the classical level. The dimensional
reduction of the dual Chern-Simons action to two-dimensions constitutes a dual
Wess-Zumino-Witten action already given in the literature.Comment: 14+1 pages, LaTeX file, no figures, version to appear in Phys. Rev
On S-duality in (2+1)-Chern-Simons Supergravity
Strong/weak coupling duality in Chern-Simons supergravity is studied. It is
argued that this duality can be regarded as an example of superduality. The use
of supergroup techniques for the description of Chern-Simons supergravity
greatly facilitates the analysis.Comment: 10+1 pages, latex, no figure
Duality for symmetric second rank tensors. II. The linearized gravitational field
The construction of dual theories for linearized gravity in four dimensions
is considered. Our approach is based on the parent Lagrangian method previously
developed for the massive spin-two case, but now considered for the zero mass
case. This leads to a dual theory described in terms of a rank two symmetric
tensor, analogous to the usual gravitational field, and an auxiliary
antisymmetric field. This theory has an enlarged gauge symmetry, but with an
adequate partial gauge fixing it can be reduced to a gauge symmetry similar to
the standard one of linearized gravitation. We present examples illustrating
the general procedure and the physical interpretation of the dual fields. The
zero mass case of the massive theory dual to the massive spin-two theory is
also examined, but we show that it only contains a spin-zero excitation.Comment: 20 pages, no figure
Deformation Quantization of Bosonic Strings
Deformation quantization of bosonic strings is considered. We show that the
light-cone gauge is the most convenient classical description to perform the
quantization of bosonic strings in the deformation quantization formalism.
Similar to the field theory case, the oscillator variables greatly facilitates
the analysis. The mass spectrum, propagators and the Virasoro algebra are
finally described within this deformation quantization scheme.Comment: 33+1 pages, harvmac file, no figure
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