The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.
Entanglement Entropy from TFD Entropy Operator
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abstract
In this work, a canonical method to compute entanglement entropy is proposed. We show that for two-dimensional conformal theories defined in a torus, a choice of moduli space allows the typical entropy operator of the TFD to provide the entanglement entropy of the degrees of freedom defined in a segment and their complement. In this procedure, it is not necessary to make an analytic continuation from the R\'enyi entropy and the von Neumann entanglement entropy is calculated directly from the expected value of an entanglement entropy operator. We also propose a model for the evolution of the entanglement entropy and show that it grows linearly with time.
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Superstring entanglement at finite temperature and its Hagedorn behavior
The extended entanglement entropy of the type II superstring is computed in thermo field dynamics; its quantum-fluctuation part is UV finite below the Hagedorn temperature, and the Hagedorn divergence comes entirely from thermal fluctuations.