Tópicos Chern-Simons Theories

Código: PFIS2073
Curso: Mestrado em Física
Créditos: 4
Carga horária: 60
Ementa:

1. Basic kinematical and dynamical features of field theories with two spacial dimensions. Non-abelian Chern-Simons (CS) gauge theories.

2. Canonical quantisation of CS theories. The origin of the massive gauge excitations in CS theories.

3. Self-dual vortices in CS theory with scalar matter fields. Relation to anyon quasi-particles in fractional Hall effect.

4. Chern-Simons terms induced by quantum effects. Maxwell-Chern-Simons models and CS models with spontaneous symmetry breaking.

Bibliografia:

[1] Gerald V. Dunne, Aspects of Chern-Simons Theory, Lectures at the 1998 Les Houches Summer School: Topological Aspects of Low Dimensional Systems, https://arxiv.org/pdf/hep-th/9902115.pdf

[2] E.Witten,  Chern-Simons Gauge Theory As A String Theory, https://arxiv.org/pdf/hep-th/9207094.pdf;

[3]Three Lectures On Topological Phases Of Matter, https://arxiv.org/pdf/1510.07698.pdf