Supersymmetry and The Gauss-Bonnet-Chern Theorem

Yu Yue

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(S2) : 123-130

Supersymmetry and The Gauss-Bonnet-Chern Theorem

Yu Yue

Zhejiang University, Hangzhou

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Abstract：
The de Rham complex on compact manifolds with boundary must satisfy the elliptic boundary conditions, so their boundary metric must be a product if the condition is to be satisfied by the structure of supersymmetry of field manifolds with boundary in 0 + 1 dimensional space-time. The Gauss-Bonnet-Chern theorem is proved by using the Witten index for a supersymmetric field theory.

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Yu Yue. Supersymmetry and The Gauss-Bonnet-Chern Theorem[J]. Chinese Physics C, 1988, 12(S2): 123-130.

Yu Yue. Supersymmetry and The Gauss-Bonnet-Chern Theorem[J]. Chinese Physics C, 1988, 12(S2): 123-130. shu

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Received: 1986-09-22

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Supersymmetry and The Gauss-Bonnet-Chern Theorem

Yu Yue

Zhejiang University, Hangzhou

Received Date: 1986-09-22

Abstract: The de Rham complex on compact manifolds with boundary must satisfy the elliptic boundary conditions, so their boundary metric must be a product if the condition is to be satisfied by the structure of supersymmetry of field manifolds with boundary in 0 + 1 dimensional space-time. The Gauss-Bonnet-Chern theorem is proved by using the Witten index for a supersymmetric field theory.