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arXiv · 0712.4112

Holography of Non-relativistic String on AdS5xS5

Makoto Sakaguchi·Kentaroh Yoshida
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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.

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Makoto Sakaguchi, Kentaroh Yoshida. 2008-02-26. Holography of Non-relativistic String on AdS5xS5. https://doi.org/10.1088/1126-6708%2F2008%2F02%2F092

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