Entanglement entropy for open bosonic strings on Dp-branes

• Published in: Physics letters. B Vol. 782; pp. 589 - 593
• Main Author: Lee, Taejin
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 10.07.2018; Elsevier
• Subjects: Bosonic string; D-branes; Entanglement entropy; String field theory; String field theory; D-branes; Entanglement entropy; Bosonic string
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2018.05.080

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. However, the leading divergences are mainly due to tachyon contributions to the entanglement entropy, which may be absent in supersymmetric string theories. Apart from the divergences thanks to tachyons, the entanglement entropy for open bosonic strings on Dp-branes is finite for 2≤p≤dcritical−2 and logarithmically divergent for p=1,dcritical−1.