Holographic relations for OPE blocks in excited states

Abstract

We study the holographic duality between boundary OPE blocks and geodesic integrated bulk fields in quotients of AdS${}_3$ 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.

arXiv comment22 pages. As published in JHEP

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