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SUMMARY:Bulk reconstruction of metrics with a compact space asymptotically
  - Sergio Hernandez Cuenca (UC Santa Barbara)
DTSTART:20200424T120000Z
DTEND:20200424T130000Z
UID:TALK136195@talks.cam.ac.uk
CONTACT:Nathan Johnson-McDaniel
DESCRIPTION:*Abstract:*\nHolographic duality implies that the geometric pr
 operties of the gravitational bulk theory should be encoded in the dual fi
 eld theory. These naturally include the metric on dimensions that become c
 ompact near the conformal boundary\, as is the case for any asymptotically
  locally _AdS_n x S^k_ spacetime. Almost all previous work on metric recon
 struction ignores these dimensions and would thus at most apply to dimensi
 onally-reduced metrics. In this work\, we generalize the approach to bulk 
 reconstruction using light-cone cuts and propose a prescription to obtain 
 the full higher-dimensional metric of generic spacetimes up to an overall 
 conformal factor. We first extend the definition of light-cone cuts to inc
 lude information about the asymptotic compact dimensions\, and show that t
 he full conformal metric can be recovered from these extended cuts. We the
 n give a prescription for obtaining these extended cuts from the dual fiel
 d theory. The location of the usual cuts can still be obtained from bulk-p
 oint singularities of correlators\, and the new information in the extende
 d cut can be extracted by using appropriate combinations of operators dual
  to Kaluza-Klein modes of the higher-dimensional bulk fields.\n\n_Talk bas
 ed on_ "2003.08409":https://arxiv.org/abs/2003.08409 .
LOCATION:Zoom
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