查看“︁Sugawara構造”︁的源代码

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'''菅原構造'''（{{lang-en|Sugawara construction}}）<ref>{{cite book |last= Blumenhagen R. , Plauschinn E. |date= 2009 |title= Introduction to Conformal Field Theory with applications to string theory |url= http://www.springer.com/us/book/9783642004490 |location=  |publisher=  |page=  |isbn=  |access-date=  |archive-date= 2017-12-23 |archive-url= https://web.archive.org/web/20171223224459/http://www.springer.com/us/book/9783642004490 |dead-url= no }}</ref>是[[共形場論]]中的一个構造，用[[流]]來表示出[[應力-能量張量]]：
:<math>T_{zz}(z) \sim \sum_a  j^a_z (z) j^a_z(z)</math>

菅原構造是[[Wess-Zumino-Witten理論]]的基本。

用表示論的说法，若被{{le|仿射李代數|Affine Lie algebra}}<math>\hat\mathfrak{g}</math>、一般（即是非critical level）的最高權(highest weight&nbsp;)表示 V ，这样菅原構造構造會在 V 这里定義出[[維拉宿代數]]的表示結構。

== 参考来源 ==
* Victor Kac, "Infinite dimensional Lie algebras", （第三版）, Cambridge, p.228
* Pavel I. Etingof, Igor B. Frenkel, Alexander A. Kirillov, "Lectures on Representation theory and Knizhnik-Zamolodchikov Equations", ISBN 0-8218-0496-0 p.26
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[[Category:共形場論]]
[[Category:李代數]]
[[Category:表示论]]
[[Category:量子场论]]