Quantizing deformation theory II

Research output: Contribution to journalArticle

Abstract

A quantization of classical deformation theory, based on the Maurer-Cartan Equation dS +12[S, S] = 0 in dg-Lie algebras, a theory based on the Quantum Master Equation dS +ħΔS + 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.

Original languageEnglish (US)
Pages (from-to)125-152
Number of pages28
JournalPure and Applied Mathematics Quarterly
Volume16
Issue number1
DOIs
StatePublished - Jan 1 2020

Keywords

  • BV-algebra
  • Deformation theory
  • Differential graded manifold
  • Maurer-Cartan equation
  • Quantum Master Equation

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