Toward an AdS/cold atoms correspondence: A geometric realization of the Schroedinger symmetry

Journal Article · Fri Aug 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.046003· OSTI ID:21250558

Son, D T ^[1]

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1. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550 (United States)

We discuss a realization of the nonrelativistic conformal group (the Schroedinger group) as the symmetry of a spacetime. We write down a toy model in which this geometry is a solution to field equations. We discuss various issues related to nonrelativistic holography. In particular, we argue that free fermions and fermions at unitarity correspond to the same bulk theory with different choices for the near-boundary asymptotics corresponding to the source and the expectation value of one operator. We describe an extended version of nonrelativistic general coordinate invariance which is realized holographically.

• OSTI ID: 21250558
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
ATOMS
CONFORMAL GROUPS
COORDINATES
DE SITTER GROUP
EXPECTATION VALUE
FERMIONS
FIELD EQUATIONS
HOLOGRAPHY
QUANTUM FIELD THEORY
SIMULATION
SPACE-TIME
SYMMETRY
UNITARITY