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Explore the fundamental concepts of fractons in this comprehensive lecture delivered as part of the "Generalised symmetries and anomalies in quantum phases of matter" program at the International Centre for Theoretical Sciences. Delve into this emerging area of quantum many-body physics that represents a significant departure from conventional understanding of quantum phases of matter. Learn about the unique properties of fractons, which are exotic quasiparticles with restricted mobility that cannot move freely through space, fundamentally challenging traditional notions of particle dynamics and phase transitions. Discover how fracton systems exhibit novel forms of symmetry, including subsystem symmetries that protect these unusual quantum states, and understand their connection to the broader framework of generalized symmetries in quantum matter. Examine the theoretical foundations underlying fracton physics, including their relationship to higher-form symmetries and topological quantum field theories. Gain insights into how fracton models provide new perspectives on quantum entanglement, conservation laws, and the classification of quantum phases that fall outside conventional paradigms. Understand the implications of fracton physics for our broader understanding of quantum many-body systems and their potential applications in quantum information and condensed matter physics.
