TL;DR
This paper develops a quantum version of classical deformation theory using the Quantum Master Equation in dg-BV-algebras, proving key theorems and providing examples of quantum deformations.
Contribution
It introduces a quantized deformation theory framework based on the Quantum Master Equation and proves representability theorems for its solutions.
Findings
Proposed a quantum deformation theory using the Quantum Master Equation.
Proved representability theorems for solutions of the Quantum Master Equation.
Presented examples illustrating quantum deformations.
Abstract
A quantization of classical deformation theory, based on the Maurer-Cartan Equation in dg-Lie algebras, a theory based on the Quantum Master Equation in dg-BV-algebras, is proposed. Representability theorems for solutions of the Quantum Master Equation are proven. Examples of "quantum" deformations are presented.
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