Status | Tentative |
Seminar Series | SEM-CPHT |
Subjects | hep-th |
Date | Tuesday 16 June 2020 |
Time | 11:00 |
Institute | CPHT |
Seminar Room | Salle Louis Michel, CPHT, Ecole Polytechnique |
Speaker's Last Name | Oblak |
Speaker's First Name | Blagoje |
Speaker's Email Address | |
Speaker's Institution | LPTHE |
Title | Virasoro Berry Phases in the KdV Equation |
Abstract | 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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