Schrödinger holography with z = 2
Autor: | Alex Peach, Cynthia Keeler, Simon F. Ross, Tomas Andrade |
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Rok vydání: | 2015 |
Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Holography 01 natural sciences law.invention symbols.namesake Formalism (philosophy of mathematics) Classical mechanics law 0103 physical sciences symbols Anti-de Sitter space 010306 general physics Anisotropy Asymptotic expansion Scaling Energy tensor Schrödinger's cat Mathematical physics |
Zdroj: | Classical and quantum gravity, 2015, Vol.32(8), pp.085006 [Peer Reviewed Journal] |
DOI: | 10.1088/0264-9381/32/8/085006 |
Popis: | We investigate holography for asymptotically Schrodinger spacetimes, using a frame formalism based on the anisotropic scaling symmetry. We build on our previous work on $z\lt 2$ to propose a dictionary for z = 2. For z = 2, the scaling symmetry does not act on the additional null direction, which implies that in our dictionary it does not correspond to one of the field theory directions. This is significantly different from previous analyses based on viewing Schrodinger as a deformation of AdS. We study this dictionary in the linearized theory and in an asymptotic expansion. We show that a solution exists in an asymptotic expansion for arbitrary sources for the relevant operators in the stress energy complex. |
Databáze: | OpenAIRE |
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