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

Understand

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.