Statut | A confirmer |
Série | SEM-CPHT |
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. |
Numéro de preprint arXiv | |
Commentaires | |
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