Non-Relativistic Strings and Limits of the AdS/CFT Correspondence

2017/05/09 by Troels Harmark, Jelle Hartong, Niels A. Obers · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.96.086019

published as Phys. Rev. D 96, 086019 (2017) · 5 pages

arxiv created 2017/05/09 · arxiv updated 2017/11/01

Abstract

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 non-relativistic 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.

Cited by

• Remark about non-relativistic string in Newton-Cartan background and null reduction

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