Deformations of momentum maps and G-systems

Autor(es)

Dherin, Benoit ^[1] ; Mencattini, Igor ^[2]

Afiliação do(s) autor(es)

^[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 - USA

^[2] Univ Sao Paulo, ICMC USP, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 55, n. 11 NOV 2014.
• Citações Web of Science: 0

Resumo

In this note we give an explicit formula for a family of deformation quantizations for the momentum map associated with the cotangent lift of a Lie group action on R-d. This family of deformations is parametrized by the formal G-systems introduced in B. Dherin and I. Mencattini {[}{''}G-systems and deformations of G-actions on R-d,{''} J. Math. Phys. 55, 011702 (2014)] (see also B. Dherin and I. Mencattini {[}{''}Quantization of (volume-preserving) actions on Rd,{''} e-print arXiv:1202.0886]) and allows us to obtain classical invariant Hamiltonians that quantize without anomalies with respect to the quantizations of the action prescribed by the formal G-systems. (C) 2014 AIP Publishing LLC. (AU)

• Processo FAPESP: 10/15069-8 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Auxílio à Pesquisa - Jovens Pesquisadores
• Processo FAPESP: 10/19365-0 - Geometrias monoidais
• Beneficiário: Benoit Richard Umbert Dherin
• Modalidade de apoio: Bolsas no Brasil - Jovens Pesquisadores