Mabuchi spectrum from the minisuperspace

Corinne de Lacroix; Harold Erbin; Eirik E. Svanes

doi:10.1016/j.physletb.2016.05.013

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arXiv · 1511.06150

Mabuchi spectrum from the minisuperspace

Corinne de Lacroix·Harold Erbin·Eirik E. Svanes

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Abstract

It was recently shown that other functionals contribute to the effective action for the Liouville field when considering massive matter coupled to two-dimensional gravity in the conformal gauge. The most important of these new contributions corresponds to the Mabuchi functional. We propose a minisuperspace action that reproduces the main features of the Mabuchi action in order to describe the dynamics of the zero-mode. We show that the associated Hamiltonian coincides with the (quantum mechanical) Liouville Hamiltonian. As a consequence the Liouville theory and our model of the Mabuchi theory both share the same spectrum, eigenfunctions and - in this approximation - correlation functions.

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Corinne de Lacroix, Harold Erbin, Eirik E. Svanes. 2016-05-25. Mabuchi spectrum from the minisuperspace. https://doi.org/10.1016/j.physletb.2016.05.013

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