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SUMMARY:Geometry of Quantum Hall states
DTSTART;VALUE=DATE-TIME:20151013T123000Z
DTEND;VALUE=DATE-TIME:20151013T133000Z
DTSTAMP;VALUE=DATE-TIME:20190720T174536Z
UID:indico-event-846@indico.math.cnrs.fr
DESCRIPTION:I will talk about recent progress in understanding quantum Hal
l states on curved backgrounds and in inhomogeneous magnetic fields and th
eir large N limits\, N being the number of particles. The large N limit of
the free energy of the Laughlin states in the integer Quantum Hall is con
trolled by the Bergman kernel expansion\, and\, in a sense\, is exactly so
lvable to all orders in 1/N. For the fractional Laughlin states\, the larg
e N limit can be determined from free field representation. The terms in t
he large N expansion are given by various geometric functionals. In partic
ular\, the Liouville action shows up at the order O(1) in the expansion\,
and signifies the effect gravitational anomaly. The appearance of this ter
m leads us to argue for the existence of a third quantized kinetic coeffic
ient\, precise on the Hall plateaus\, in addition to Hall conductance and
anomalous viscosity. Based on: 1309.7333\, 1410.6802\, 1504.07198 and upco
ming work.\n\nhttps://indico.math.cnrs.fr/event/846/
LOCATION:IHES Amhithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/846/
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