Coherent state, local excitation in 2D conformal field theory

Understand

In this paper we discuss the topics concerning the local excitation and coherent state in 2D CFT.

• It is shown that the local excitation of primary operator can be taken as a coherent state of the global conformal group.
• We also discuss the entanglement property of such state.
• For rational CFT the entanglement entropy between the holomorphic and anti-holomorphic sector of the local excitation of some primary operator is related to the quantum dimension of the operator, consistent with previous approach, but by a differentmethod.