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Below the Breitenlohner-Freedman bound in the nonrelativistic AdS/CFT correspondence
Heidelberg University, DEU.ORCID iD: 0000-0002-4615-2507
2010 (English)In: Physical Review D, ISSN 1550-7998, E-ISSN 1550-2368, Vol. 81, no 6Article in journal (Refereed) Published
Abstract [en]

We propose that there is no analogue of the Breitenlohner-Freedman stability bound on the mass of a scalar field in the context of the nonrelativistic AdS/CFT correspondence. Our treatment is based on an equivalence between the field equation of a complex scalar in the AdS/CFT correspondence and the onedimensional Schrodinger equation with an inverse square potential. We compute the two-point boundary correlation function for m(2) < m(BF)(2) and discuss its relation to renormalization group limit cycles and the Efimov effect in quantum mechanics. The equivalence also helps to elucidate holographic renormalization group flows and calculations in the global coordinates for Schrodinger spacetime.

Place, publisher, year, edition, pages
American Physical Society, 2010. Vol. 81, no 6
National Category
Subatomic Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-87189DOI: 10.1103/PhysRevD.81.066002ISI: 000276195700117OAI: oai:DiVA.org:kau-87189DiVA, id: diva2:1624825
Available from: 2022-01-05 Created: 2022-01-05 Last updated: 2023-06-20Bibliographically approved

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Moroz, Sergej

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