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Large N Program Series: Tankut Can

Title: Ward Identities for Fractional Quantum Hall states
Program Website: Large N limit problems in Kahler Geometry
Speaker: Tankut Can
Date: Thursday, May 28, 2015
Time: 01:30pm – 02:30pm
Place: Seminar Room 313, Simons Center
 

 

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Abstract: I will discuss the application of Ward identities to computing multi-point density distribution functions in fractional quantum Hall (FQH) ground state wave functions. The Ward identities are exact relations between distribution functions, and can be solved iteratively using an asymptotic expansion in large N number of particles. The main results I will share are: 1) the large N expansion of the mean particle density of FQH states, which is a natural generalization of the Bergman kernel, and 2) evidence for the asymptotic normality of fluctuations, coming from results for the two-particle distribution function.