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Title:
Ward Identities for Fractional Quantum Hall states
Speaker:
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.
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