Genus-one complex quantum Chern–Simons theory
نویسندگان
چکیده
We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce natural complexified analogue Hitchin connection in K\{a}hler quantisation, with polarisations coming from nonabelian Hodge hyper-K\{a}hler geometry moduli spaces flat connections, thereby complementing real-polarised approach Witten. Then Witten, identify it using a version Bargmann transform on polarised sections over spaces.
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2022
ISSN: ['1527-5256', '1540-2347']
DOI: https://doi.org/10.4310/jsg.2022.v20.n6.a1