Operator growth in 2d CFT

  title={Operator growth in 2d CFT},
  author={Pawel Caputa and Shouvik Datta},
  journal={Journal of High Energy Physics},
Abstract We investigate and characterize the dynamics of operator growth in irrational two-dimensional conformal field theories. By employing the oscillator realization of the Virasoro algebra and CFT states, we systematically implement the Lanczos algorithm and evaluate the Krylov complexity of simple operators (primaries and the stress tensor) under a unitary evolution protocol. Evolution of primary operators proceeds as a flow into the ‘bath of descendants’ of the Verma module. These… 

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