Inverting the Hamiltonian Reduction in String Theory

A M Semikhatov

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arXiv · hep-th/9410109

Inverting the Hamiltonian Reduction in String Theory

A M Semikhatov

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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.

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A M Semikhatov. 1994-10-16. Inverting the Hamiltonian Reduction in String Theory. https://arxiv.org/abs/hep-th/9410109

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