Quantizing deformation theory II

Alexander A. Voronov

doi:10.4310/PAMQ.2020.v16.n1.a3

Quantizing deformation theory II

Alexander A. Voronov

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	125-152
Number of pages	28
Journal	Pure and Applied Mathematics Quarterly
Volume	16
Issue number	1
DOIs	https://doi.org/10.4310/PAMQ.2020.v16.n1.a3
State	Published - 2020

Bibliographical note

Funding Information:
Received June 21, 2018. 2010 Mathematics Subject Classification: Primary 14D15, 16E45; secondary 81T70. ∗The author is supported by the World Premier International Research Center Initiative (WPI), MEXT, Japan, and a Collaboration grant from the Simons Foundation (#282349).

Publisher Copyright:
© 2020, International Press of Boston, Inc.. All rights reserved.

Keywords

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

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Quantizing deformation theory II

Abstract

Bibliographical note

Keywords

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