Nonlinear superposition formula for N=1 supersymmetric KdV Equation

In this paper, we derive a B\"{a}cklund transformation for the supersymmetric Kortweg-de Vries equation. We also construct a nonlinear superposition formula, which allows us to rebuild systematically for the supersymmetric KdV equation the soliton solutions of Carstea, Ramani and Grammaticos.Comment: 6 pages, LaTeX, everthing is reformed into super field

Free Field Representation of osp(2∣1)osp(2|1) and Uq(osp(2∣1))U_q(osp(2|1)) and N=1 (q-)Superstring Correlation Functions

The free field realization of irreducible representations of \os is constructed, by a unified and systematic scheme. The $q$-analog of this unified scheme is used to construct $q$-free field realization of irreducible representations of \uos. By using these realization, the two point function of $N=1$ superconformal (q-superconformal) model based on \os (\uos) symmetry have been calculated.Comment: 10 pages, LaTex, no figures, New section has been added; to be published in Phys. Lett.

Constant magnetic field in closed string theory: an exactly solvable model

We consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge field, or closed string theory on a torus, this model can be straightforwardly quantized and solved with its spectrum of states and partition function explicitly computed. Above some critical value of the magnetic field an infinite number of states become tachyonic, suggesting a presence of phase transition. We also construct heterotic string generalisations of this bosonic model in which the constant magnetic field is embedded either in the Kaluza-Klein or internal gauge group sector.Comment: 39 pages, harvmac (some corrections and addenda; version to appear in Nuclear Physics

A geometrical interpretation of classical W-transformations

SIGLEAvailable from TIB Hannover: RO 5063(92-27) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

A one-parameter family of hamiltonian structures for the KP hierarchy and a continuous deformation of the nonlinear W_K_P algebra

SIGLEAvailable from TIB Hannover: RO 5063(92-20) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

The topography of W_#infinity#-type algebras

Also published in Phys. Lett., B (21 Jan 1993) v. 299(1/2) p. 41-48SIGLEAvailable from TIB Hannover: RO 5063(92-24) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman