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.
Left-Right Entanglement Entropy of Dp-branes
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abstract
We compute the left-right entanglement entropy for Dp-branes in string theory. We employ the CFT approach to string theory Dp-branes, in particular, its presentation as coherent states of the closed string sector. The entanglement entropy is computed as the von Neumann entropy for a density matrix resulting from integration over the left-moving degrees of freedom. We discuss various crucial ambiguities related to sums over spin structures and argue that different choices capture different physics; however, we advance a themodynamic argument that seems to favor a particular choice of replica. We also consider Dp branes on compact dimensions and verify that the effects of T-duality act covariantly on the Dp brane entanglement entropy. We find that generically the left-right entanglement entropy provides a suitable generalization of boundary entropy and of the D-brane tension.
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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.