Título: | Topological Quantum Field Theories from Compact Lie Groups |
Autores: |
Freed, Daniel Hopkins, Michael J. Lurie, Jacob Alexander Teleman, Constantin |
Fecha: |
2012-12-06 2010 2012-12-06 |
Publicador: | American Mathematical Society |
Fuente: |
Ver documento |
Tipo: | Monograph or Book |
Tema: | |
Descripción: |
It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also develop from different points of view an associated 4-dimensional invertible topological field theory which encodes the anomaly of Chern-Simons. Finite gauge groups are also revisited, and we describe a theory of "finite path integrals" as a general construction for a certain class of finite topological field theories. Topological pure gauge theories in lower dimension are presented as a warm-up. Mathematics |
Idioma: | Inglés |
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