Quantizing deformation theory II

Alexander A. Voronov

Quantizing deformation theory II

Quantum Algebra 2018-07-09 v2 Algebraic Geometry Algebraic Topology

Authors: Alexander A. Voronov

Abstract

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.

Keywords

deformation theory

Cite

@article{arxiv.1806.11197,
  title  = {Quantizing deformation theory II},
  author = {Alexander A. Voronov},
  journal= {arXiv preprint arXiv:1806.11197},
  year   = {2018}
}

Comments

20 pages, for the collection dedicated to Yuri I. Manin on the occasion of his 80th birthday; the new version adds a few references and expands on examples

Quantizing deformation theory II

Abstract

Keywords

Cite

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