Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence
By T. Harmark, J. Hartong, Lorenzo Menculini, N. Obers, Ziqi Yan. Journal of High Energy Physics, 2018
143 citations recorded by the source corpus.
We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry. For a flat target space, we show that the world-sheet theory becomes the Gomis-Ooguri action. From a target space perspective these strings are non-relativistic but their world-sheet theories are still relativistic. We show that one can take a scaling limit in which also the world-sheet theory becomes non-relativistic with an infinite-dimensional symmetry algebra given by the Galilean conformal algebra. This scaling limit can be taken in the context of the AdS/CFT correspondence and we show that it is realized by the ‘Spin Matrix Theory’ limits of strings on AdS5 × S5. Spin Matrix theory arises as non-relativistic limits of the AdS/CFT correspondence close to BPS bounds. The duality between non-relativistic strings and Spin Matrix theory provides a holographic duality of its own and points towards a framework for more tractable holographic dualities whereby non-relativistic strings are dual to near BPS limits of the dual field theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/34c4176fffab1a1f0a04122b21563404a3423e6d
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Citations in the corpus
- String theory and string Newton–Cartan geometry (2019, methodology): “ra was first considered to be the symmetry algebra of nonrelativistic string theory. Instead, as we saw in this paper, the relevant symmetry algebra is the slightly larger string Newton-Cartan algebra [17]. In Appendix B, we will apply a formal gauging procedure to the string Bargmann algebra. This l”