30 citations · 104 across the 23 of their papers we have counts for
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Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
We derive the explicit form of the polar decomposition of the Wiener measure, and obtain the equation connecting functional integrals in conformal quantum mechanics to those in the…
Simple rules of functional integration in the Schwarzian theory: SYK correlators
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
We derive the general rules of functional integration in the theories of the Schwarzian type, and evaluate explicitly the functional integrals assigning correlation functions in th…
Unusual view of the Schwarzian theory
Vladimir V. Belokurov, Evgeniy T. Shavgulidze
A decomposition of the Wiener measure based on its quasi-invariance under the group of diffeo- morphisms is proposed. As a result, functional integrals in the Schwarzian theory can…
Correlation functions in the Schwarzian theory
V. V. Belokurov, E. T. Shavgulidze
A mathematically correct approach to study theories with infinite-dimensional groups of symmetries is presented. It is based on quasi-invariant measures on the groups. In this pape…