nLab D=6 N=(2,0) SCFT as an extended functorial field theory -- references

The $D=6$, $\mathcal{N}=(2,0)$ SCFT as an extended functorial field theory

On the (conjectural) suggestion to view at least some aspects of the D=6 N=(2,0) SCFT (such as its quantum anomaly or its image as a 2d TQFT under the AGT correspondence) as a functorial field theory given by a functor on a suitable cobordism category, or rather as an extended such FQFT, given by an n-functor (at least a 2-functor on a 2-category of cobordisms):

• Edward Witten, Section 1 of: Geometric Langlands From Six Dimensions, in Peter Kotiuga (ed.) A Celebration of the Mathematical Legacy of Raoul Bott, CRM Proceedings & Lecture Notes Volume: 50, AMS 2010 (arXiv:0905.2720, ISBN:978-0-8218-4777-0)

• Daniel Freed, 4-3-2 8-7-6, talk at ASPECTS of Topology Dec 2012 (pdf, pdf)

• Daniel Freed, p. 32 of: The cobordism hypothesis, Bulletin of the American Mathematical Society 50 (2013), pp. 57-92, (arXiv:1210.5100, doi:10.1090/S0273-0979-2012-01393-9)

• Daniel Freed, Constantin Teleman, Relative quantum field theory, Commun. Math. Phys. 326, 459–476 (2014) (arXiv:1212.1692, doi:10.1007/s00220-013-1880-1)

• David Ben-Zvi, Theory $\mathcal{X}$ and Geometric Representation Theory, talks at Mathematical Aspects of Six-Dimensional Quantum Field Theories IHES 2014, notes by Qiaochu Yuan (pdf I, pdf II, pdf III)

• David Ben-Zvi, Algebraic geometry of topological field theories, talk at Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014 (web video)

• Lukas Müller, Extended Functorial Field Theories and Anomalies in Quantum Field Theories (arXiv:2003.08217)