Strings with non-relativistic conformal symmetry and limits of the AdS/CFT correspondence

Autor: Troels Harmark, Jelle Hartong, Lorenzo Menculini, Niels A. Obers, Ziqi Yan
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 11, Pp 1-28 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP11(2018)190
Popis: 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 AdS5 × 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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