Emergent symmetry

Phase transitions
Quantum computing
Quantum entanglement
Quantum field theory
Quantum gravity

Learn how generalised symmetries and the holographic principle are transforming our understanding of quantum phase transitions, from topological classification frameworks to critical behaviour in non-equilibrium and open quantum systems.

Emergent symmetry

This course provides advanced training in generalised symmetries and the holographic principle in the study of quantum phase transitions. It introduces key mathematical tools (including category theory) used to classify topological phases and examines quantum critical behaviour in non-equilibrium and open quantum systems.

  • 15 June – 19 June 2026

  • Chinese University of Hong Kong

  • HK$3,000 (Includes accommodation)

  • Apply by 30 April 2026

What you'll study

  • Generalised symmetry and the holographic principle in quantum phase transitions
  • Mathematical foundations: generalised symmetry, category theory, and topological holography
  • Quantum phase transitions in non-equilibrium systems

If you have any enquiries about the course, please contact PY Ho by email at .

Course director

Zhengcheng Gu
Zhengcheng Gu

Professor, Department of Physics, Chinese University of Hong Kong

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