3d TQFT from 6d SCFT

3d TQFT from 6d SCFT

A bstract We study the six-dimensional (2, 0) superconformal field theory on S 1 × S 2 × M via compactification to five dimensions, where M is a three-manifold. Twisted along M , the five-dimensional theory has a half of supersymmetry on S 2 , the other half being broken by a superpotential. We show...

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Veröffentlicht in:The journal of high energy physics 2013-08, Vol.2013 (8), p.1-25, Article 17
1. Verfasser: Yagi, Junya
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Elementary Particles
Field theory
Gages
Gauges
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Relativity Theory
String Theory
Supersymmetry
Three dimensional
Topology
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Zusammenfassung:A bstract We study the six-dimensional (2, 0) superconformal field theory on S 1 × S 2 × M via compactification to five dimensions, where M is a three-manifold. Twisted along M , the five-dimensional theory has a half of supersymmetry on S 2 , the other half being broken by a superpotential. We show that in the limit where M is infinitely large, the twisted theory reduces to a three-dimensional topological quantum field theory which is closely related to Chern-Simons theory for the complexified gauge group.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2013)017