Vijay Balasubramanian | Knitting wormholes by entanglement in supergravity

Speaker: Vijay Balasubramanian
Date: November 2, 2020
Affiliation: UPenn
Title: Knitting wormholes by entanglement in supergravity
Abstract: We construct a single-boundary wormhole geometry in type IIB supergravity by perturbing two stacks of N extremal D3-branes in the decoupling limit. The solution interpolates from a two-sided planar AdS-Schwarzschild geometry in the interior, through a harmonic two-center solution in the intermediate region, to an asymptotic AdS space. The construction involves a CPT twist in the gluing of the wormhole to the exterior throats that gives a global monodromy to some coordinates, while preserving orientability. The geometry has a dual interpretation in \mathcal{N}=4, SU(2N) Super Yang-Mills theory in terms of a Higgsed SU(2N)→S(U(N)×U(N)) theory in which \mathcal{O}(N^2) degrees of freedom in each SU(N) sector are entangled in an approximate thermofield double state at a temperature much colder than the Higgs scale. We argue that the solution can be made long-lived by appropriate choice of parameters, and comment on mechanisms for generating traversability. We also describe a construction of a double wormhole between two universes.