3,949 research outputs found
Intersecting branes and Supersymmetry
We consider intersecting M-brane solutions of supergravity in eleven
dimensions. Supersymmetry turns out to be a powerful tool in obtaining such
solutions and their generalizations.Comment: 6 pages, Latex, Presented at Supersymmetry and Quantum Field Theory,
International Seminar dedicated to the memory of D. V. Volkov, Kharkov, 199
Aspects of Superembeddings
Some aspects of the geometry of superembeddings and its application to
supersymmetric extended objects are discussed. In particular, the embeddings of
(3|16) and (6|16) dimensional superspaces into (11|32) dimensional superspace,
corresponding to supermembranes and superfivebranes in eleven dimensions, are
treated in some detail.Comment: 13 pages, Latex, Contribution to Supersymmetry and Quantum Field
Theory, International Seminar dedicated to the memory of D. V. Volkov
(Kharkov, 1997), some clarifications are mad
Off-diagonal correlations of the Calogero-Sutherland model
We study correlation functions of the Calogero-Sutherland model in the whole
range of the interaction parameter. Using the replica method we obtain
analytical expressions for the long-distance asymptotics of the one-body
density matrix in addition to the previously derived asymptotics of the
pair-distribution function [D.M. Gangardt and A. Kamenev, Nucl. Phys. B, 610,
578 (2001)]. The leading analytic and non-analytic terms in the short-distance
expansion of the one-body density matrix are discussed. Exact numerical results
for these correlation functions are obtained using Monte Carlo techniques for
all distances. The momentum distribution and static structure factor are
calculated. The potential and kinetic energies are obtained using the
Hellmann-Feynman theorem. Perfect agreement is found between the analytical
expressions and numerical data. These results allow for the description of
physical regimes of the Calogero-Sutherland model. The zero temperature phase
diagram is found to be of a crossover type and includes quasi-condensation,
quasi-crystallization and quasi-supersolid regimes.Comment: 17 pages, 7 figure
Soliton absorption spectroscopy
We analyze optical soliton propagation in the presence of weak absorption
lines with much narrower linewidths as compared to the soliton spectrum width
using the novel perturbation analysis technique based on an integral
representation in the spectral domain. The stable soliton acquires spectral
modulation that follows the associated index of refraction of the absorber. The
model can be applied to ordinary soliton propagation and to an absorber inside
a passively modelocked laser. In the latter case, a comparison with water vapor
absorption in a femtosecond Cr:ZnSe laser yields a very good agreement with
experiment. Compared to the conventional absorption measurement in a cell of
the same length, the signal is increased by an order of magnitude. The obtained
analytical expressions allow further improving of the sensitivity and
spectroscopic accuracy making the soliton absorption spectroscopy a promising
novel measurement technique.Comment: 9 pages, 7 figures
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