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Saturating the unitarity bound in AdS/CFT_(AdS)

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arxiv 1204.2054 v1 pith:ORB2ZU6K submitted 2012-04-10 hep-th

Thorsten Ohl , Christoph F. Uhlemann This is my paper · ORCID
classification hep-th
keywords boundaryfieldtheoryboundstandardunitaritybulkconformal
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We investigate the holographic description of CFTs defined on the cylinder and on AdS, which include an operator saturating the unitarity bound. The standard Klein-Gordon field with the corresponding mass and boundary conditions on global AdS_(d+1) and on an AdS_(d+1) geometry with AdS_d conformal boundary contains ghosts. We identify a limit in which the singleton field theory is obtained from the bulk theory with standard renormalized inner product, showing that a unitary bulk theory corresponding to an operator which saturates the unitarity bound can be formulated and that this yields a free field on the boundary. The normalizability issues found for the standard Klein-Gordon field on the geometry with AdS_d conformal boundary are avoided for the singleton theory, which offers interesting prospects for multi-layered AdS/CFT.

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Cited by 2 Pith papers

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    Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.

  2. Dirac Singleton as a Relativistic Field Beyond Standard Model

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    Dirac singletons are reformulated as nonlocal relativistic fields in (A)dS space-time with new Lagrangians, opening a speculative route to dark matter and baryogenesis.

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