
Books
Next20041125T10:02:46Z  New insight into WDVV equation  We show that WittenDijkgraafVerlindeVerlinde equation underlies the
construction of N=4 superconformal multiparticle mechanics in one dimension,
including a N=4 superconformal Calogero model.
 
20020904T17:32:51Z  On XRay Channeling in mu and ncapillaries  In this work Xray propagation in micro and nanosize capillaries has been
considered in the frame of a simple unified wave theory. It is shown that the
diminishing of the channel sizes completely changes the mode of beam
transportation, namely, we obtain the transformation of surface channeling in
microcapillaries to bulk channeling in nanocapillaries (nanotubes).
 
19971229T13:47:19Z  On the complex structure in the GuptaBleuler quantization method  We examine the general conditions for the existence of the complex structure
intrinsic in the GuptaBleuler quantization method for the specific case of
mixed first and second class fermionic constraints in an arbitrary spacetime
dimension. The cases d=3 and 10 are shown to be of prime importance. The
explicit solution for d=10 is presented.
 
20060306T11:12:21Z  NonMinimal String Corrections And Supergravity  We reconsider the wellknown issue of string corrections to Supergravity
theory. Our treatment is carried out to second order in the string slope
parameter. We establish a procedure for solving the Bianchi identities in the
non minimal case, and we solve a long standing problem in the perturbative
expansion of D=10, N=1 string corrected Supergravity, obtaining the H sector
tensors, torsions and curvatures.
 
20110613T13:05:33Z  String Corrections To The Riemann Curvature Tensor  The string corrections to the Riemann Curvature tensor are found to first
order in the string slope parameter, here proportional to $\g$. This is done
for D=10 supergravity, the presumed low energy limit of string theory. We
follow the perturbative approach. We also simplify a crucial result in our
previous solution.
 
20050331T15:46:29Z  N=4 supersymmetric mechanics with nonlinear chiral supermultiplet  We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral
supermultiplet. The two bosonic degrees of freedom of this supermultiplet
parameterize the sphere S(2) and go into the bosonic components of the standard
chiral multiplet when the radius of the sphere goes to infinity. We construct
the most general action and demonstrate that the nonlinearity of the
supermultiplet results in the deformation of the connection, which couples the
fermionic degrees of freedom with the background, and of the bosonic potential.
Also a nonzero magnetic field could appear in the system.
 
20021217T16:15:37Z  AdS_2/CFT_1, Canonical Transformations and Superconformal Mechanics  We propose a simple conformal mechanics model which is classically equivalent
to a charged massive particle propagating near the AdS_2\times S^2 horizon of
an extreme ReissnerNordstr\"om black hole. The equivalence holds for any
finite value of the black hole mass and with both the radial and angular
degrees of freedom of the particle taken into account. It is ensured by the
existence of a canonical transformation in the Hamiltonian formalism. Using
this transformation, we construct the Hamiltonian of a N=4 superparticle on
AdS_2\times S^2 background.
 
20040601T18:54:03Z  ABC of N=8, d=1 supermultiplets  We construct a variety of offshell $N{=}8, d{=}1$ supermultiplets with
finite numbers of component fields as direct sums of properly constrained
$N{=}4, d{=}1$ superfields. We also show how these multiplets can be described
in $N{=}8, d{=}1$ superspace where the whole amount of supersymmetry is
manifest. Some of these multiplets can be obtained by dimensional reduction
{}from $N{=}2$ multiplets in $d{=}4$, whereas others cannot. We give examples
of invariant superfield actions for the multiplets constructed, including
$N{=}8$ superconformally invariant ones.
 
20040702T14:55:40Z  N=4 superconformal mechanics in the ppwave limit  We constructed the ppwave limit of N=4 superconformal mechanics with the
offshell $({\bf 3,4,1})$ multiplet. We present the superfield and the
component actions which exhibit the interesting property that the interaction
parts are completely fixed by the symmetry. We also explicitly demonstrate that
the passing to the ppwave limit can be achieved by keeping at most quadratic
nonlinearities in the action of (super)conformal mechanics.
 
20041028T15:08:49Z  N=8 Supersymmetric Quaternionic Mechanics  We construct N=8 supersymmetric mechanics with four bosonic end eight
fermionic physical degrees of freedom. Starting from the most general N=4
superspace action in harmonic superspace for the ({\bf 4,8,4}) supermultiplet
we find conditions which make it N=8 invariant. We introduce in the action
FayetIliopoulos terms which give rise to potential terms. We present the
action in components and give explicit expressions for the Hamiltonian and
Poisson brackets. Finally we discuss the possibility of N=9 supersymmetric
mechanics.
 

