Abstract / Description of output
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 $AdS_5 \times S^5$ 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.
Original language | English |
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Article number | 086019 |
Journal | Physical Review D, particles, fields, gravitation, and cosmology |
Volume | 96 |
DOIs | |
Publication status | Published - 24 Oct 2017 |
Externally published | Yes |
Keywords / Materials (for Non-textual outputs)
- hep-th