Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut A confirmer
Domaines hep-th
Date Mardi 16 Juin 2020
Heure 11:00
Institut CPHT
Salle Salle Louis Michel, CPHT, Ecole Polytechnique
Nom de l'orateur Oblak
Prenom de l'orateur Blagoje
Addresse email de l'orateur
Institution de l'orateur LPTHE
Titre Virasoro Berry Phases in the KdV Equation
Résumé I consider a model of fluid particle motion given by the reconstructed KdV equation on a circle. For travelling waves that are "uniformizable" in a suitable sense, the map that governs stroboscopic motion can be derived analytically. The particle's drift velocity, then, is essentially the Poincaré rotation number of that map, and has a geometric origin: it is the sum of a dynamical phase, a geometric/Berry phase, and an "anomalous phase". The last two phases are universal, as they follow entirely from the underlying Virasoro group structure. The Berry phase, in particular, is produced by a sequence of adiabatic conformal transformations due to the moving wave profile, and was previously found in two-dimensional conformal field theories.
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