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arXiv · 1810.05560

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

Troels Harmark·Jelle Hartong·Lorenzo Menculini·Niels A. Obers·Ziqi Yan
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Abstract

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 AdS$_5$ $\times$ $S^5$. 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.

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Troels Harmark, Jelle Hartong, Lorenzo Menculini, Niels A. Obers, Ziqi Yan. 2018-10-12. Strings with Non-Relativistic Conformal Symmetry and Limits of the AdS/CFT Correspondence. https://doi.org/10.1007/jhep11(2018)190

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