Creating a Holographic Statistical Mechanical-Network Model with the Ising Model and Tree Networks

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Physics (MSc)

Salaris, Joseph (2020)

Creating a Holographic Statistical Mechanical-Network Model with the Ising Model and Tree Networks

Master thesis | Physics (MSc)

Adopting some key ideas of the AdS/CFT correspondence, such as the geometrization of the RG formalism and having an AdS background spacetime, mappings of the 1D and 2D Ising model onto a network model were developed. The mappings primarily serve to engineer a 2D phase transition into a higher dimensional tree network and show what holographic properties are obtained by merely invoking some conceptual ’ingredients’ from the holographic duality. The networks were studied by MC simulation of the Ising model and subsequent construction. This thesis then further reports on efforts to describe the network ensemble seeded off the Ising model independently, by a(n) (exponential) random graph model.

AdS/CFT correspondence

Author: Salaris, Joseph

Faculty: Faculty of Science

Specialisation: MSc Theoretical Physics

Supervisors: Schalm, Koenraad
Garlaschelli, Diego

ECTS Credits: 8

Language: en

Leiden University Student Repository

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Creating a Holographic Statistical Mechanical-Network Model with the Ising Model and Tree Networks