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.

34pp, 3 figures; typos fixed, published version

References in corpus (5)

• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• A Semiclassical String Description of Wilson Loop with Local Operators
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Non-relativistic String and D-branes on AdS_5 x S^5 from Semiclassical Approximation

Cited by in corpus (13)

• Aspects of Nonrelativistic Strings
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Intertwining Operator Realization of Non-Relativistic Holography
• Super Galilean conformal algebra in AdS/CFT
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Nonrelativistic String Theory Sigma Model and Its Canonical Formulation
• Classical string solutions in Non-Relativistic AdS${}_5\times$S${}^5$: Closed and Twisted sectors
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• Coset space actions for nonrelativistic strings
• Light-Cone Gauge in Non-Relativistic AdS${}_5\times$S${}^5$ String Theory
• Constructing Non-Relativistic AdS${}_5$/CFT${}_4$ Holography
• A perturbative approach to the non-relativistic string spectrum