IPM Calendar 
Thursday 18 July 2024   Today  
Events for day: Thursday 20 July 2023    
           09:00 - 17:00     Two-day Workshop

On rTMS

School
COGNITIVE SCIENCES

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           11:00 - 12:00     Theory weekly seminar (TWS)
Classical Correlation Functions of Liouville Vertex Operators and Uniformization of Orbifold Riemann Surfaces

School
PARTICLES AND ACCELERATORS

Abstract:

The classical correlation function of Liouville vertex operators on a Riemann surface with genus g > 1 is related to the on-shell value of the Liouville action functional on the same Riemann surface but with the insertion of conical points at the location of those operators. In this work, using the results of 1508.02102 and 1701.00771, we study the appropriate classical Liouville action on a Riemann orbisurface using the Schottky global coordinates. We also study the first and second variation formulas for this action on the Schottky deformation space and show that this classical Liouville action is a Ka?hler potentia ...