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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 4: Quantum field theory, AdS/CFT, non-equilibrium and quantum dynamics
MP 4.1: Talk
Tuesday, March 22, 2022, 16:15–16:35, MP-H5
Wormholes from Berry phases in AdS3/CFT2 — Souvik Banerjee, Moritz Dorband, Johanna Erdmenger, René Meyer, and •Anna-Lena Weigel — Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
The AdS/CFT correspondence states that certain CFTs admit a description in terms of a gravitational theory in asymptotically AdS geometries of one dimension more. A central question in understanding the mechanism behind the duality is how the geometry in the bulk spacetime is encoded in the dual CFT state. Berry phases present a useful tool for understanding this. In their most general form, Berry phases are geometric phases acquired by states due to the presence of holonomies when parallel transported around a closed loop in parameter space. The AdS/CFT correspondence admits the description of bulk geometries with semi-classical spacetime wormholes in terms of two entangled CFTs. Wormholes are a topological feature of the bulk spacetime that presents as a holonomy and thus can be probed with Berry phases. The entanglement induced by the wormhole in the bulk geometry implies the dual CFTs no longer factorize. We show that non-factorization in the dual entangled CFTs is evident in Berry phases for such systems. We briefly discuss further applications of Berry phases for probing spacetime holonomies in geometries without wormholes and their CFT interpretation.