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Ising- and Fibonacci-Anyons from KZ-equations

SourceSeminar Date of Publication:Feb 23,2022
02/23 2022 Seminar
  • Title Ising- and Fibonacci-Anyons from KZ-equations
  • Speaker Babak Haghighat (清华大学)
  • Date 2022年2月23日 14:00
  • Venue ITP South Building 6620
  • Abstract

    In this talk I will present solutions to Knizhnik-Zamolodchikov (KZ) equations corresponding to conformal block wavefunctions of non-Abelian Ising- and Fibonacci Anyons. We solve these equations around regular singular points in configuration space in terms of hypergeometric functions and derive explicit monodromy representations of the braid group action. This confirms the correct non-Abelian statistics of the solutions. One novelty of our approach is that we explicitly keep track of spin basis states and identify conformal blocks uniquely with such states at relevant points in moduli space.