期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2018)190
关键词
AdS-CFT Correspondence; Sigma Models; Bosonic Strings; Integrable Field Theories
资金
- Royal Society University Research Fellowship Non-Lorentzian Geometry in Holography [UF160197]
- project Towards a deeper understanding of black holes with non-relativistic holography of the Independent Research Fund Denmark [DFF-6108-00340]
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research, Innovation and Science
- Niels Bohr Institute, Perugia University
- INFN of Perugia
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) x 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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