Holographic Relations for OPE Blocks in Excited States

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Holographic Relations for OPE Blocks in Excited States

https://arxiv.org/pdf/1809.09107.pdf

Jesse C. Cresswell†1 , Ian T. Jardine†2 , and Amanda W. Peet†§3 †Department of Physics, University of Toronto, Toronto, ON M5S 1A7, Canada §Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada

We study the holographic duality between boundary OPE blocks and geodesic integrated bulk fields in quotients of AdS3 dual to excited CFT states. The quotient geometries exhibit non-minimal geodesics between pairs of spacelike separated boundary points which modify the OPE block duality. We decompose OPE blocks into quotient invariant operators and propose a duality with bulk fields integrated over individual geodesics, minimal or non-minimal. We provide evidence for this relationship by studying the monodromy of asymptotic maps that implement the quotients.
 

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