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Nonrelativistic strings and limits of the AdS/CFT correspondence

May 9, 2017

5 pages

Published in:

Phys.Rev.D 96 (2017) 8, 086019

Published: Oct 24, 2017

e-Print:

1705.03535 [hep-th]

DOI:

10.1103/PhysRevD.96.086019

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Abstract: (APS)

Using target space null reduction of the Polyakov action, we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to keep the string action finite, we obtain a nonrelativistic string moving in a new type of non-Lorentzian geometry that we call U(1)-Galilean geometry. We apply this to strings on AdS5×S5 for which we show that the zero tension limit is realized by the spin matrix theory limits of the AdS/CFT correspondence. This is closely related to limits of spin chains studied in connection to integrability in AdS/CFT. The simplest example gives a covariant version of the Landau-Lifshitz sigma-model.

Note:

5 pages

field theory: conformal
string
AdS/CFT correspondence
nonrelativistic
Polyakov action
covariance
torsion
matrix
spin
string model: Type IIB

References(31)

Figures(0)

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