Preferred Invariant Symplectic Connections on Compact Coadjoint Orbits期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Preferred Invariant Symplectic Connections on Compact Coadjoint Orbits

Authors:	Cahen Michel Gutt Simone Rawnsley John

Institution:	(1) Dipartimento di Matematica, Università di Roma La Sapienza, P. le A. Moro 2, 00185 Rome, Italy

Abstract:	Let $\mathcal{F}$ be the Haag--Kastler net generated by the ${s\hat u}$ (2) chiral current algebra at level 1. We classify the SL(2, $\mathbb{R}$ )-covariant subsystems $\mathcal{B}$ $\mathcal{F}$ by showing that they are all fixed points nets $\mathcal{F}$ ^H for some subgroup H of the gauge automorphisms group SO(3) of $\mathcal{F}$ . Then, using the fact that the net $\mathcal{F}$ ₁ generated by the ${\hat u}$ (1) chiral current can be regarded as a subsystem of $\mathcal{F}$ , we classify the subsystems of $\mathcal{F}$ ₁. In this case, there are two distinct proper subsystems: the one generated by the energy-momentum tensor and the gauge invariant subsystem $\mathcal{F}_{{\text{1}}^{\mathbb{Z}_{\text{2}} } }$ .

Keywords:	operator algebras conformal field theory subsystems
本文献已被 SpringerLink 等数据库收录！