Abstract
Using target space null reduction of the Polyakov action we find a novel covariant action for strings moving in a torsional NewtonCartan geometry. Sending the string tension to zero while rescaling the NewtonCartan clock 1form, so as to keep the string action finite, we obtain a nonrelativistic string moving in a new type of nonLorentzian 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 LandauLifshitz sigmamodel.
Original language  English 

Article number  086019 
Journal  Physical Review D, Particles and fields 
Volume  96 
DOIs  
Publication status  Published  24 Oct 2017 
Externally published  Yes 
Keywords
 hepth
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Profiles

Jelle Hartong
 School of Mathematics  Royal Society University Research Fellow & Lecturer in
Person: Academic: Research Active