ICTS:29441

Video URL

The granular geometry of large N matrix models and 2D string theory

The granular geometry of large N matrix models and 2D string theory

(2024). The granular geometry of large N matrix models and 2D string theory. SciVideos. https://youtu.be/2rRcPFUxNZ8

The granular geometry of large N matrix models and 2D string theory. SciVideos, Aug. 28, 2024, https://youtu.be/2rRcPFUxNZ8 

          @misc{ scivideos_ICTS:29441,
            doi = {},
            url = {https://youtu.be/2rRcPFUxNZ8},
            author = {},
            keywords = {},
            language = {en},
            title = {The granular geometry of large N matrix models and 2D string theory},
            publisher = {},
            year = {2024},
            month = {aug},
            note = {ICTS:29441 see, \url{https://scivideos.org/icts-tifr/29441}}
          }
Gautam Mandal
Talk numberICTS:29441
Source RepositoryICTS-TIFR
Source EventQuantum Information, Quantum Field Theory and Gravity
Collection

Abstract

The emergent geometry from large N matrix models is shown to be naturally granular, with a short distance cut-off proportional to 1/N. This is explicitly demonstrated for matrix quantum mechanics which is exactly mapped to a lattice boson with lattice spacing  1/N. In case of the double scaled c=1 matrix model, even though N is infinite, the exact boson theory has an effective short distance cutoff given by a scaled quantity proportional to the string coupling. This explains the finite entanglement entropy and finite S matrix elements of the 2D string theory in contrast with collective field theory where these quantities are divergent. We  also briefly discuss a lattice boson representation of time-dependent unitary matrix models.