English

Entropy of Berenstein-Maldacena-Nastase Strings

High Energy Physics - Theory 2020-02-26 v2

Abstract

In a previous paper, we proposed a probability interpretation for higher genus amplitudes of BMN (Berenstein-Maldacena-Nastase) strings in a pp-wave background with infinite negative curvature. This provides a natural definition of the entropy of a BMN string as the Shannon entropy of its corresponding probability distribution. We prove a universal upper bound that the entropy grows at most logarithmically in the strong string coupling limit. We also study the entropy by numerical methods and discuss some interesting salient features.

Keywords

Cite

@article{arxiv.1910.02581,
  title  = {Entropy of Berenstein-Maldacena-Nastase Strings},
  author = {Min-xin Huang},
  journal= {arXiv preprint arXiv:1910.02581},
  year   = {2020}
}

Comments

5 pages, 1 figure. v2: journal version, some revisions including a change of the title