Functional integration over the factor-space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R}) $

Evgeniy T. Shavgulidze; Vladimir V. Belokurov

Functional integration over the factor-space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R}) $

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arxiv 1912.07841 v1 pith:YMEAK5LY submitted 2019-12-17 hep-th

Vladimir V. Belokurov , Evgeniy T. Shavgulidze This is my paper · ORCID

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keywords functionaldifftextbfcalculusexplicitfactorfactor-spaceform

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abstract

An explicit form of the functional measure on the factor space $Diff^{1}_{+}(S^{1})/SL(2,\textbf{R})$ is obtained that makes Schwarzian functional integrals calculus simpler and more transparent.

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Schwarzian functional integrals calculus
hep-th 2019-08 conditional novelty 6.0 of 10

Schwarzian functional integrals over Diff^1_+(S^1)/SL(2,R) are reduced to ordinary integrals, giving two- and four-point correlators that do not factorize into two-point products.

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