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High Energy Physics - Theory, hep-th,Quantum Physics, quant-ph
Abstract:
In this paper, we use the replica approach to study the R\'enyi entropy $S_L$
of generic locally excited states in (1+1)D CFTs, which are constructed from
the insertion of multiple product of local primary operators on vacuum.
Alternatively, one can calculate the R\'enyi entropy $S_R$ corresponding to the
same states using Schmidt decomposition and operator product expansion, which
reduces the multiple product of local primary operators to linear combination
of descendant operators. The equivalence $S_L=S_R$ translates into an identity
in terms of the $F$ symbols and quantum dimensions for rational CFT, and the
latter can be proved algebraically. This, along with a series of papers, gives
a complete picture of how the quantum information quantities and the intrinsic
structure of (1+1)D CFTs are consistently related.
