Quantum phase transition in a Dp-Dq system
Abstract
Using the top-down approach, we study intersecting Dp-Dq brane configuration in string theory and find examples, where there can be a quantum phase transition at zero temperature induced by the violation of the Breitenlohner-Freedman (BF) bound at IR, which is done essentially by a combination of charge density and magnetic fields. In particular, there exists a Berezinskii-Kosterlitz-Thouless (BKT) type of transition for D3-D5 and D5-D5 systems. The study of the BKT type of transition is initiated by Jensen et al. [Phys. Rev. Lett. {\bf 105}, 041601 (2010) ] for a D3-D5 system with nonzero charge density and a magnetic field. Here, we show that one can have the BKT transition for a D3-D5 system even in the absence of charge density but requires multiple magnetic fields. In this case the field theory lives in 2+1 dimensions, whereas for the D5-D5 type, the transition requires the presence of both the charge density and magnetic fields and the dual field theory lives on a 3+1 dimensional spacetime. We also study the D3-D7 system but it does not show the BKT type of transition.
Keywords
Cite
@article{arxiv.1006.2444,
title = {Quantum phase transition in a Dp-Dq system},
author = {Shesansu Sekhar Pal},
journal= {arXiv preprint arXiv:1006.2444},
year = {2010}
}
Comments
1+37 pages; v2 Chern-Simon term for D3-D5 case presented, typos fixed and a reference added; v3 Minor corrections, Chern-Simon term for D2-D4, D4-D6, and D5-D7 added, also an appendix and few references added; v4 Journal version