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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Zayas, L.A.P., Quiroz, N. Left-right entanglement entropy of Dp-branes. J. High Energ. Phys. 2016, 23 (2016). https://doi.org/10.1007/JHEP11(2016)023
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DOI: https://doi.org/10.1007/JHEP11(2016)023