Hamiltonian reduction of supersymmetric WZNW models on bosonic groups and superstrings
Abstract
It is shown that an alternative supersymmetric version of the Liouville equation extracted from D = 3 GreenSchwarz superstring equations naturally arises as a superToda model obtained from a properly constrained supersymmetric WZNW theory based on the sl(2, R) algebra. Hamiltonian reduction is performed by imposing a nonlinear superfield constraint which turns out to be a mixture of a first and secondclass constraint on supercurrent components. Supersymmetry of the model is realized nonlinearly and is spontaneously broken. The set of independent current fields which survive the Hamiltonian reduction contains (in the holomorphic sector) one bosonic current of spin 2 (the stress tensor of the spin0 Liouville mode) and two fermionic fields of spin {3}/{2}and{1}/{2}. The n = 1 superconformal system thus obtained is of the same kind as one describing noncritical fermionic strings in a universal string theory. The generalization of this procedure allows one to produce from any bosonic Lie algebra superToda models and associated super W algebras together with their nonstandard realizations.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/S05503213(96)004993
 arXiv:
 arXiv:hepth/9603187
 Bibcode:
 1996NuPhB.480..457S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX file, 32 pages, final version to appear in Nucl. Phys. B