Some remarks on the extension of loop groups

Autor:	Yao-Z Zhang, Bo-Y Hou
Rok vydání:	1988
Předmět:	Loop (topology) Algebra Loop group Coordinate system General Physics and Astronomy Statistical and Nonlinear Physics Extension (predicate logic) Mathematical Physics Descent (mathematics) Mathematics
Zdroj:	Journal of Physics A: Mathematical and General. 21:345-352
ISSN:	1361-6447 0305-4470
Popis:	It is shown that in an anomalous Yang-Mills theory in 1+1 dimensions one can realise a non-central extension of a loop group, in addition to the well known central extension. The descent equations and Mickelsson's local coordinate techniques are used to construct 2-cocycles for the extended groups. It appears that in two-dimensional theories the central and non-central extensions of a loop group are compatible and equivalent to each other. The transition functions between different coordinate systems are also defined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::12a216bc807b8f85960ae60057ed5943 https://doi.org/10.1088/0305-4470/21/2/013 Zobrazit plný text záznamu