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Quantizing Deformation Theory II
Pure and Applied Mathematics Quarterly ( IF 0.7 ) Pub Date : 2020-01-01 , DOI: 10.4310/pamq.2020.v16.n1.a3 Alexander A. Voronov 1
Pure and Applied Mathematics Quarterly ( IF 0.7 ) Pub Date : 2020-01-01 , DOI: 10.4310/pamq.2020.v16.n1.a3 Alexander A. Voronov 1
Affiliation
A quantization of classical deformation theory, based on the Maurer-Cartan Equation $dS + \frac{1}{2}[S,S] = 0$ in dg-Lie algebras, a theory based on the Quantum Master Equation $dS + \hbar \Delta S + \frac{1}{2} \{S,S\} = 0$ in dg-BV-algebras, is proposed. Representability theorems for solutions of the Quantum Master Equation are proven. Examples of "quantum" deformations are presented.
中文翻译:
量化变形理论II
经典变形理论的量化,基于 dg-李代数中的 Maurer-Cartan 方程 $dS + \frac{1}{2}[S,S] = 0$,基于量子主方程 $dS + 的理论\hbar \Delta S + \frac{1}{2} \{S,S\} = 0$ 在 dg-BV-代数中被提出。证明了量子主方程解的可表示性定理。介绍了“量子”变形的例子。
更新日期:2020-01-01
中文翻译:
量化变形理论II
经典变形理论的量化,基于 dg-李代数中的 Maurer-Cartan 方程 $dS + \frac{1}{2}[S,S] = 0$,基于量子主方程 $dS + 的理论\hbar \Delta S + \frac{1}{2} \{S,S\} = 0$ 在 dg-BV-代数中被提出。证明了量子主方程解的可表示性定理。介绍了“量子”变形的例子。