顶点代数在更高维度上的重构

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2023-11-02 DOI:10.1007/s00023-023-01384-0

Bojko N. Bakalov, Nikolay M. Nikolov

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引用次数: 0

摘要

高维度的顶点代数对应于具有全局共形不变性的量子场论模型。维数 D 中的任何顶点代数都可以限制到任何较低维数的顶点代数，特别是限制到维数一。在 D 为偶数的情况下，我们发现了反向传递的自然条件。这些条件包括具有正能量的共形李代数的单元作用，它由局部内定形给出，并服从某些可整性性质。

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Reconstruction of Vertex Algebras in Even Higher Dimensions

Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any vertex algebra in dimension D admits a restriction to a vertex algebra in any lower dimension and, in particular, to dimension one. In the case when D is even, we find natural conditions under which the converse passage is possible. These conditions include a unitary action of the conformal Lie algebra with a positive energy, which is given by local endomorphisms and obeys certain integrability properties.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.