Conformal fields: a class of representations of Vect(N)
Conformal fields: a class of representations of Vect(N)
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DOI：
10.1142/s0217751x92002970
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发表时间：
1992-07
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影响因子：
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通讯作者：
T. A. Larsson
中科院分区：
文献类型：
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作者：
T. A. Larsson
研究了N维向量场代数Vect（N）。局部微分几何的某些方面被表述为$Vect（N）$表示理论。有一类新的模，{\it conformal fields}，它对子代数$sl（N+1）\subset Vect（N）$的限制是有限维$sl（N+1）$表示。在这方面，它们比张量场简单。还构造了Fock模块。无限大，即使是正常的秩序也无法消除，除非玻色子和费米子自由度匹配。
$Vect(N)$, the algebra of vector fields in $N$ dimensions, is studied. Some aspects of local differential geometry are formulated as $Vect(N)$ representation theory. There is a new class of modules, {\it conformal fields}, whose restrictions to the subalgebra $sl(N+1) \subset Vect(N)$ are finite-dimensional $sl(N+1)$ representations. In this regard they are simpler than tensor fields. Fock modules are also constructed. Infinities, which are unremovable even by normal ordering, arise unless bosonic and fermionic degrees of freedom match.