Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
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DOI：
10.1142/s0217732397002909
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发表时间：
1997-04
影响因子：
1.4
通讯作者：
T. Inami;H. Kanno;T. Ueno
中科院分区：
文献类型：
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作者：
T. Inami;H. Kanno;T. Ueno
我们在一个2n维的凯勒流形上构建了二维外斯 - 祖米诺 - 维滕模型的一种推广，它是一个具有包含凯勒形式的反常项的群值非线性西格玛模型。该模型被证明具有一个无穷维对称性，它产生一个n - 环面李代数。经典的运动方程结果是唐纳森 - 乌伦贝克 - 丘成桐方程，它是自对偶杨 - 米尔斯方程的2n维推广。
We construct a generalization of the two-dimensional Wess–Zumino–Witten model on a 2n-dimensional Kahler manifold as a group-valued nonlinear sigma model with an anomaly term containing the Kahler form. The model is shown to have an infinite-dimensional symmetry which generates an n-toroidal Lie algebra. The classical equation of motion turns out to be the Donaldson–Uhlenbeck–Yau equation, which is a 2n-dimensional generalization of the self-dual Yang–Mills equation.