Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-CPHT
Subjects hep-th
Date Tuesday 28 January 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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