Physics Seminar
Date: Tuesday, 04 February 2025
Time: 1.45 PM
Venue: Lecture Hall 2
Fundamental strings, gravity and quantum processors
Ayan Mukhopadhyay
Instituto de Física, Pontificia Universidad Católica de Valparaíso.
04-02-25

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Abstract

I will show that the Nambu-Goto equations for.a string follow from the junction conditions of three dimensional gravity. The solutions of the junction conditions between two copies of an Einstein spacetime M are in one-to-one correspondence with the solutions of the non-linear Nambu-Goto equations obeyed by the average embedding of the junction in M up to rigid parameters related to spacetime and worldsheet isometries. In AdS, the solution of the Nambu-Goto equation corresponding to the bulk junction can be decoded from the relative time reparametrization at the dual CFT interface. In the more general constructions, each solution of the Nambu-Goto equation should be understood as a quantum processor i.e. a map between the Hilbert spaces of the CFT on the two sides of the dual interface. These results, remarkably, can be generalized to multi-way junctions between three dimensional spacetimes.