On the mathematics and physics of mixed spin P-fields. (English) Zbl 1397.14071
Li, Si (ed.) et al., String-Math 2015. Proceedings of the conference, Tsinghua Sanya International Mathematics Forum in Sanya, China, December 31, 2015 – January 4, 2016. Providence, RI: American Mathematical Society (AMS); Boston, MA: International Press (ISBN 978-1-4704-2951-5/hbk; 978-1-4704-4276-7/ebook). Proceedings of Symposia in Pure Mathematics 96, 47-73 (2017).
Summary: We outline various developments of affine and general Landau-Ginzburg models in physics. We then describe the A-twisting and coupling to gravity in terms of Algebraic Geometry. We describe constructions of various path integral measures (virtual fundamental class) using the algebro-geometric technique of cosection localization, culminating in the theory of “Mixed Spin P (MSP) fields” developed by the authors.
For the entire collection see [Zbl 1381.14004].
For the entire collection see [Zbl 1381.14004].
MSC:
| 14N35 | Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) |
| 14J33 | Mirror symmetry (algebro-geometric aspects) |
| 14J81 | Relationships between surfaces, higher-dimensional varieties, and physics |
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