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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
September 23, 2020 14:00, Moscow, online
 


Laughlin states on Riemann surfaces

S. E. Klevtsovab

a University of Cologne
b State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow
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Abstract: Laughlin state is an N-particle wave function, describing the fractional quantum Hall effect (FQHE). We define and construct Laughlin states on genus-g Riemann surface, prove topological degeneracy and discuss adiabatic transport on the corresponding moduli spaces. Mathematically, the problems around Laughlin states involve subjects as asymptotics of Bergman kernels for higher powers of line bundle on a surface, large-N asymptotics of Coulomb gas-type integrals, vector bundles on moduli spaces.

Language: English

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