Holography of Non-relativistic String on AdS5xS5
Abstract
We discuss a holographic dual of a non-relativistic (NR) string on AdS5xS5. The NR string can be regarded as a semiclassical string around an AdS2 classical solution corresponding to a straight Wilson line in the gauge-theory side. The quadratic action with respect to the fluctuations is composed of free massive and massless scalars, and free massive fermions on the AdS2 world-sheet. We show that the complete agreement of the spectra between the NR string and a conformal quantum mechanics (CQM). Then we show a holographic relation between normalizable modes of the NR string and wave functions in the CQM. Then it may be argued from this result that an AdS2/CFT1 would be realized in AdS5/CFT4. We can really discuss a GKPW-type relation by considering non-normalizable modes of the NR string in Euclidean signature. Those modes give a source term insertion to the Wilson line, which can also be regarded as a small deformation of it.
Keywords
Cite
@article{arxiv.0712.4112,
title = {Holography of Non-relativistic String on AdS5xS5},
author = {Makoto Sakaguchi and Kentaroh Yoshida},
journal= {arXiv preprint arXiv:0712.4112},
year = {2009}
}
Comments
34pp, 3 figures; typos fixed, published version