TASI Lectures on Emergence of Supersymmetry, Gauge Theory and String in Condensed Matter Systems

Abstract

The lecture note consists of four parts. In the first part, we review a 2+1 dimensional lattice model which realizes emergent supersymmetry at a quantum critical point. The second part is devoted to a phenomenon called fractionalization where gauge boson and fractionalized particles emerge as low energy excitations as a result of strong interactions between gauge neutral particles. In the third part, we discuss about stability and low energy effective theory of a critical spin liquid state where stringy excitations emerge in a large N limit. In the last part, we discuss about an attempt to come up with a prescription to derive holographic theory for general quantum field theory.

arXiv comment35 pages; 11 figures; v2) references added

References in corpus (12)

• Emergent quantum criticality, Fermi surfaces, and AdS2
• Non-Fermi liquids from holography
• Higher Spin Gauge Theory and Holography: The Three-Point Functions
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Holographic metals and the fractionalized Fermi liquid
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Lectures on the functional renormalization group method
• Semi-Holographic Fermi Liquids
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• From black holes to strange metals
• Holographic description of large N gauge theory
• Holographic Non-Fermi Liquids and the Luttinger Theorem

Cited by in corpus (12)

• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Supersymmetric SYK model and random matrix theory
• The dynamics of quantum criticality via Quantum Monte Carlo and holography
• The emergence of a universal limiting speed
• Large-density field theory, viscosity, and "$2k_F$" singularities from string duals
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• AdS/CFT and Landau Fermi liquids
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Integrating Holographic Vector Dominance to Hidden Local Symmetry for the Nucleon Form Factor
• Relativistic fluid dynamics in heavy ion collisions
• Holographic entanglement renormalisation for fermionic quantum matter