161,421 research outputs found
On thermodynamics of black p-branes
Thermodynamic properties of a class of black -branes in -dimensions
considered by Duff and Lu are investigated semi-classically. For black
-brane, thermodynamic quantities depend on and only through the
combination . The behavior of the Hawking temperature
and the lifetime vary with , with a critical value . For
, there remains a remnant, in which non-zero entropy is stored.
Implications of the fact that the Bekenstein-Hawking entropy of the black
-brane depend only on is discussed from the point of
view of duality.Comment: 8 pages, LaTe
Intersecting non-SUSY -brane with chargeless 0-brane as black -brane
Unlike BPS -brane, non-supersymmetric (non-susy) -brane could be either
charged or chargeless. As envisaged in [hep-th/0503007], we construct an
intersecting non-susy -brane with chargeless non-susy -brane by taking
T-dualities along the delocalized directions of the non-susy -brane solution
delocalized in transverse directions (where ). In general
these solutions are characterized by four independent parameters. We show that
when the intersecting charged as well as chargeless non-susy -brane
with chargeless 0-brane can be mapped by a coordinate transformation to black
-brane when two of the four parameters characterizing the solution take some
special values. For definiteness we restrict our discussion to space-time
dimensions . We observe that parameters characterizing the black brane
and the related dynamics are in general in a different branch of the parameter
space from those describing the brane-antibrane annihilation process. We
demonstrate this in the two examples, namely, the non-susy D0-brane and the
intersecting non-susy D4 and D0-branes, where the solutions with the explicit
microscopic descriptions are known.Comment: 25 page
Non-SUSY -branes, bubbles and tubular branes
We consider non-supersymmetric -brane solutions of type II string theories
characterized by three parameters. When the charge parameter vanishes and one
of the other two takes a specific value, the corresponding chargeless solutions
can be regular and describe ``bubbles'' in static (unstable) equilibrium when
lifted to . In appropriate coordinates, they represent D6 branes with a
tubular topology R S when reduced to , called
the tubular D6 branes, held in static equilibrium by a fixed magnetic flux
(fluxbrane). Moreover, a `rotation parameter' can be introduced to either of
the above two eleven dimensional configurations, giving rise to a generalized
configuration labelling by the parameter. As such, it brings out the relations
among non-supersymmetric -branes, bubbles and tubular D6 branes. Given our
understanding on tubular D6 branes, we are able to reinforce the interpretation
of the chargeless non-supersymmetric -branes as representing
-brane-anti-brane (or non-BPS -brane) systems, and understand the
static nature and various singularities of these systems in a classical
supergravity approximation.Comment: 18 pages, footnote 7 removed due to some erro
Phenomenological Analysis of and Elastic Scattering Data in the Impact Parameter Space
We use an almost model-independent analytical parameterization for and
elastic scattering data to analyze the eikonal, profile, and
inelastic overlap functions in the impact parameter space. Error propagation in
the fit parameters allows estimations of uncertainty regions, improving the
geometrical description of the hadron-hadron interaction. Several predictions
are shown and, in particular, the prediction for inelastic overlap
function at TeV shows the saturation of the Froissart-Martin
bound at LHC energies.Comment: 15 pages, 16 figure
Multi-scalar p-brane solitons
In a previous paper \cite{lp}, supersymmetric -brane solutions involving
one dilatonic scalar field in maximal supergravity theories were classified.
Although these solutions involve a number of participating field strengths,
they are all equal and thus they carry equal electric or magnetic charges. In
this paper, we generalise all these solutions to multi-scalar solutions in
which the charges become independent free parameters. The mass per unit
-volume is equal to the sum of these Page charges. We find that for generic
values of the Page charges, they preserve the same fraction of the
supersymmetry as in their single-scalar limits. However, for special values of
the Page charges, the supersymmetry can be enhanced.Comment: 15 pages, Latex, no figure
Local unitary versus local Clifford equivalence of stabilizer states
We study the relation between local unitary (LU) equivalence and local
Clifford (LC) equivalence of stabilizer states. We introduce a large subclass
of stabilizer states, such that every two LU equivalent states in this class
are necessarily LC equivalent. Together with earlier results, this shows that
LC, LU and SLOCC equivalence are the same notions for this class of stabilizer
states. Moreover, recognizing whether two given stabilizer states in the
present subclass are locally equivalent only requires a polynomial number of
operations in the number of qubits.Comment: 8 pages, replaced with published versio
From the fuzzy disc to edge currents in Chern-Simons Theory
We present a brief review of the fuzzy disc, the finite algebra approximating
functions on a disc, which we have introduced earlier. We also present a
comparison with recent papers of Balachandran, Gupta and
K\"urk\c{c}\"{u}o\v{g}lu, and of Pinzul and Stern, aimed at the discussion of
edge states of a Chern-Simons theory.Comment: 8 pages, 6 figures, Talk presented at ``Space-time and Fundamental
Interactions: Quantum Aspects'', conference in honour of A. P. Balachandran's
65th birthday. References added and one misprint correcte
On periodic boundary value problem for the Sturm-Liouville operator
We consider the Sturm-Liouville operator Lu=u''-q(x)u with periodic or
antiperiodic boundary conditions. It is shown that depending of Fourier
coefficients of the potential q(x) the system of root functions may have or may
not have the basis property.Comment: Published in Proceedings of the International Conference "Function
Spaces, Approximation Theory, Nonlinear Analysis", Moscow, Russia, May 23-29,
2005, p. 14
Dilatonic p-brane solitons
We find new 4-brane and 5-brane solitons in massive gauged , and
, supergravities. In each case, the solutions preserve half of the
original supersymmetry. These solutions make use of the metric and dilaton
fields only. We also present more general dilatonic -branes in
dimensions.Comment: 9 pages, Latex, no figure
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