PIRSA:16120019

The bulk dual of the lowest resonance in the Sachdev-Ye-Kitaev model

Suh, J. (2016). The bulk dual of the lowest resonance in the Sachdev-Ye-Kitaev model. Perimeter Institute. https://pirsa.org/16120019

Suh, Josephine. The bulk dual of the lowest resonance in the Sachdev-Ye-Kitaev model. Perimeter Institute, Dec. 05, 2016, https://pirsa.org/16120019 

          @misc{ pirsa_PIRSA:16120019,
            doi = {10.48660/16120019},
            url = {https://pirsa.org/16120019},
            author = {Suh, Josephine},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The bulk dual of the lowest resonance in the Sachdev-Ye-Kitaev model},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {dec},
            note = {PIRSA:16120019 see, \url{https://pirsa.org}}
          }

Josephine Suh University of British Columbia

Talk number PIRSA:16120019
DOI 10.48660/16120019
Collection
Talk Type Scientific Series
Subject

Abstract

The Sachdev-Ye-Kitaev model exhibits conformal invariance and a maximal Lyapunov exponent in the large-N and low temperature limit, and thus belongs to the same universality class as a two-dimensional anti-de Sitter black hole. Poles corresponding to a tower of operators that are bilinear in the microscopic Majorana fermions can be found in the four-point function of the fermions. We propose a renormalization theory for UV perturbations to the model, and derive an effective action for the soft mode of the model that results from integrating out the lowest resonance and which is dominant in the IR. We show that a two-dimensional dilaton theory with a quadratic term precisely reproduces this effective action on its boundary.