English

AdS$_3$ and AdS$_2$ Magnetic Brane Solutions

High Energy Physics - Theory 2010-11-08 v1

Abstract

We investigate AdS3_3 and AdS2_2 magnetic brane solutions within the consistent truncation of AdS5×S5_5 \times S^5 supergravity. The AdS3_3 solution extends earlier work by allowing a general embedding of the magnetic U(1)U(1) in SO(6)SO(6). We determine the ratio of strong- and weak-coupling entropies as a function of this embedding. Further, by considering crossed magnetic fields in different U(1)U(1)'s we are able to construct a solution that runs from AdS5_5 in the UV to AdS2×R3_2 \times R^3 in the IR. We find the notable result that there is a zero temperature entropy at strong coupling but not at weak coupling. We also show that the AdS2_2 solution and at least some of the AdS3_3 solutions are stable within the truncation.

Keywords

Cite

@article{arxiv.1011.1266,
  title  = {AdS$_3$ and AdS$_2$ Magnetic Brane Solutions},
  author = {Ahmed Almuhairi},
  journal= {arXiv preprint arXiv:1011.1266},
  year   = {2010}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-21T16:39:16.621Z