New Superparticle Models Outside the HLS Supersymmetry Scheme

Abstract

We consider the superparticle models invariant under the supersymmetries with tensorial central charges, which were not included in D = 4 Haag-Lopuszanski-Sohnius (HLS) supersymmetry scheme.We present firstly a generalization of D = 4 Ferber-Shirafuji (FS) model with fundamental bosonic spinors and tensorial central charge coordinates. The model contains four fermionic coordinates and possesses three κ-symmetries thus providing the BPS configuration preserving 3/4 of the target space supersymmetries. We show that the physical degrees of freedom (8 real bosonic and 1 real Grassmann variable) of our model can be described by OSp(8|1) supertwistor. Then we propose a higher dimensional generalization of our model with one real fundamental bosonic spinor. D = 10 model describes massless superparticle with composite tensorial central charges and in D = 11 we obtain 0-superbrane model with nonvanishing mass which is generated dynamically. The introduction of D = 11 Lorentz harmonics provides the possibility to construct massless D = 11 superparticle model which can be formulated in a way preserving 1/2, 17/32, 18/32, . . ., 31/32 supersymmetries. In a special case we obtain the twistor-like formulation of the usual massless D = 11 superparticle proposed recently by Bergshoeff and Townsend. *

An Improved Stokes Parameter Method for Determination of the Cell Thickness and Twist Angle of Twisted Nematic Liquid Crystal Cells

“…From (1.2) it follows that the particle momentum is P αβ = λ α λ β , which in the tensorial spaces associated with 4, 6 and 10-dimensional space-times implies that the quantum states of the superparticle are massless [15,16]. Note that this is the direct analog and generalization of the Cartan-Penrose (twistor) realization of the light-like momentum of massless states.…”

“…Note that this is the direct analog and generalization of the Cartan-Penrose (twistor) realization of the light-like momentum of massless states. The action (1.2) is non-manifestly invariant under the rigid transformations of OSp(1|2n) [15,16,17,21,22,24] but is manifestly invariant under the transformations of its subgroup GL(n) acting on X, θ and λ as follows…”

“…. , n, with n = 4 corresponding to the Fronsdal case (1.1)) [15,16]. The quantization of this model was shown [17] to produce the infinite tower of free massless fields of all possible spins in D = 4 space-time and an infinite set of higher spin fields in higher dimensions.…”

Wavelength Switching of Erbium-Doped Fiber Laser by Optical Injection into Overlapped Laser Cavities

“…It is interesting that in recent literature matrix actions have been considered which involve matrices transforming in the vector of the SO group as well as other antisymmetric tensors [27]- [30]. It would be interesting to see if the fuzzy odd sphere solutions of model actions of the form (6.1) could also be found for actions involved in the above papers.…”

A pp-wave with 26 supercharges

“…(Turning on the NS-NS field strength instead is equally good, but modifies some equations below that involve spinors.) 7 The Mathematica ® program and its output-which lists all 7-parameter solutions which preserve at least 20 supercharges-can be found at http://www.rci.rutgers.edu/~jmich/pp/all7.html and http://schwinger.harvard.edu/~jeremy/pp/all7.html.…”