Speaker
Vasil Avramov
(Sofia University "St. Kliment Ohridski")
Description
We investigate the equations of motion for a free point string on five-dimensional Sasaki-Einstein manifolds Yp,q/Lp,q,r. This results in Fuchsian equations with four singularities or a Heun equations. The asymptotic solutions of these equations are obtained through isomondromic deformation and are related to the sixth Painlevé equation. We derive the flows generated by the coalescence procedure for the hierarchy of Painlevé equations and the effect of these flows on the spectrum of energies. Through this procedure we search for dynamically occurring phase transitions in the spectra on the manifolds.
Primary authors
Dr
Hristo Dimov
(Sofia University "St. Kliment Ohridski" & JINR)
Dr
Miroslav Radomirov
(Sofia University "St. Kliment Ohridski")
Prof.
Radoslav Rashkov
(Sofia University "St. Kliment Ohridski")
Dr
Tsvetan Vetsov
(Sofia University "St. Kliment Ohridski")
Vasil Avramov
(Sofia University "St. Kliment Ohridski")
