Available student project - String theory and integrable systems

Research fields

  • Theoretical Physics

Project details

Integrability is a beautiful phenomenon usually confined to one- or two-dimensional systems. Recently it was established that higher-dimensional quantum field theories, such as certain supersymmetric Yang-Mills theories in four dimensions and Chern-Simons theories in three dimensions, can also be integrable, at least in their planar limit. The appearance of integrability, yet to be understood, seems to be related to the AdS/CFT mechanism, which connects these field theories to string theories embedded in generalised Anti-de Sitter spacetimes. The emerging structures, such as factorised S-matrices, Bethe equations, thermodynamic Bethe ansatz, quantum algebras, etc. bear many similarities with well-known solvable models (Heisenberg magnets, Hubbard models, Sine-Gordon models, two-dimensional sigma models), but seem to generalise and unify them in yet-to-be understood ways.

This project aims to develop and employ the full power of the theory of integrable quantum systems to new models of quantum many-body spin systems in string theory. These models have been placed at the international centre-stage of developments in string theory in a series of recent surprising and unexpected mathematical connections, which relate spectra of free strings in the AdS5/S5 curved background to the spectra of the Heisenberg type spin Hamiltonians with non-local interactions. Several student projects of various complexity are available at the honours and PhD levels.

Required background

MATH3351, PHYS3001

Project suitability

This research project can be tailored to suit students of the following type(s)
  • Honours project
  • Phd or Masters

Contact supervisor

Bazhanov, Vladimir profile

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