Building a Gauge-Invariant Holographic Dictionary


Lamprou, L. (2016). Building a Gauge-Invariant Holographic Dictionary. Perimeter Institute. https://pirsa.org/16100060


Lamprou, Lampros. Building a Gauge-Invariant Holographic Dictionary. Perimeter Institute, Oct. 18, 2016, https://pirsa.org/16100060


          @misc{ pirsa_PIRSA:16100060,
            doi = {10.48660/16100060},
            url = {https://pirsa.org/16100060},
            author = {Lamprou, Lampros},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Building a Gauge-Invariant Holographic Dictionary},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100060 see, \url{https://pirsa.org}}

Lampros Lamprou Massachusetts Institute of Technology (MIT) - Department of Physics


What natural CFT quantities can “see” in the interior of the bulk AdS in a diffeomorphism invariant way? And how can we use them to learn about the emergence of local bulk physics? Inspired by the Ryu-Takayanagi relation, we construct a class of simple non-local operators on both sides of the duality and demonstrate their equivalence. Integrals of free bulk fields along geodesics/minimal surfaces are dual to what we will call “OPE blocks”: Individual conformal family contributions to the OPE of local operators. Our findings can be utilized to reconstruct local bulk operators and unify a number of previously disconnected AdS/CFT results. We extend this kinematic correspondence to incorporate gravitational interactions in AdS3 by relating geodesic operators to the Virasoro OPE blocks, hence providing a natural CFT prescription for “gravitational dressing”. We conclude with discussion of preliminary results on an interesting CFT structure that generalizes our dictionary to include arbitrary local bulk interactions.