Entanglement Entropy for Open Bosonic Strings on $Dp$-branes

Understand

We study the entanglement entropy for open bosonic strings on multiple $Dp$-branes by using the covariant open string field theory.

• Choosing one of the spatial coordinates which are tangential to the hyperplane on which $Dp$-branes are located, we divide the hyperplane into two halves.
• By using the string wavefunction in the Fock space representation, we evaluate the entanglement entropy.
• The entanglement entropy is found to be proportional to the area of $(p-1)$-dimensional boundary of the bipartite hyperplanes and divergent in the ultraviolet (UV) region as well as in the infrared (IR) region.