Holography of Non-relativistic String on AdS5xS5

TL;DR

This paper explores the holographic duality of a non-relativistic string in AdS5xS5, establishing a connection with conformal quantum mechanics and suggesting an AdS2/CFT1 correspondence within the AdS5/CFT4 framework.

Contribution

It demonstrates the spectral match between the non-relativistic string and conformal quantum mechanics, and proposes a holographic relation linking modes of the string to wave functions in CQM.

Findings

Spectral agreement between NR string and CQM.

Holographic relation between string modes and CQM wave functions.

Potential realization of AdS2/CFT1 within AdS5/CFT4.

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.