Inverting the Hamiltonian Reduction in String Theory

Abstract

It is well known that many interesting realisations of string theories can be obtained via hamiltonian reduction from WZW models. I want to point out that string theories do in certain cases also provide the recipe to reconstruct the ambient space of the hamiltonian reduction, including Kac--Moody currents and the associated ghosts. The procedure of reconstructing the Kac--Moody currents is closely related to properties of matter+gravity multiplets in noncritical string theories. In application to KPZ gravity and its N=1 supersymmetric extension, the `inverted hamiltonian reduction' constructions serve to establish relation with the DDK-type formalism for matter + gravity.

Talk presented at the 28th International Symposium on the Theory of Elementary Particles, Wendisch-Rietz, September 1994

References in corpus (4)

• Note on N=0 string as N=1 string
• Superstrings from Hamiltonian Reduction
• Integral Intertwining Operators and Complex Powers of Differential ($q-$Difference) Operators
• Chiral Rings and Integrable Systems for Models of Topological Gravity

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• Realizations of simple affine vertex algebras and their modules: the cases $\widehat{sl(2)}$ and $\widehat{osp(1,2)}$
• Toward logarithmic extensions of ^sl(2)_k conformal field models
• Subregular W-algebras of type A