Quadratic duality for chiral algebras. (English) Zbl 07900905
Summary: We introduce a notion of quadratic duality for chiral algebras. This can be viewed as a chiral version of the usual quadratic duality for quadratic associative algebras. We study the relationship between this duality notion and the Maurer-Cartan equations for chiral algebras, which turns out to be parallel to the associative algebra case. We also present some explicit examples.
MSC:
| 81Txx | Quantum field theory; related classical field theories |
| 18Gxx | Homological algebra in category theory, derived categories and functors |
| 16Sxx | Associative rings and algebras arising under various constructions |
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