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

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

2010-09-26

arxiv.org/abs/1009.5127v2

Physics

High Energy Physics

High Energy Physics - Theory

35 pages; 11 figures; v2) references added

Scientific paper

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.

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