Affine Connections and Topological Conformal Field Theories on Higher-Genus Riemann Surfaces : Particles and Fields
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概要
- 論文の詳細を見る
We consider a topological conformal algebra on a higher-genus Riemann surface Σ. Associated with the U(1) anomaly it is required to introduce an affine connection into the algebra in order to render the algebra coordinate-independent. Since a compact Riemann surface admits affine connections if and only if the surface has genus one, the topological conformal algebra with the U(1) anomaly on Σ is valid only on a torus. The supersymmetric ghost system is used to realize such an algebra. We actually construct the affine connection and give its transformation law under a conformal transformation. When there is no U(1) anomaly, the corresponding topological conformal algebra does not contain the affine connection and is admitted on Riemann surfaces with any genus.
- 理論物理学刊行会の論文
- 1993-03-25
著者
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SAITO Takesi
Department of Physics, Kwansei Gakuin University
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Saito Takesi
Department Of Physics Kwansei Gakuin University
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Saito Takesi
Department Of Physics Kyoto Pref. University Of Medicine
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SAITO Takesi
Department of Physics, Kyoto Pref.University of Medicine
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SAITO Takesi
Deparment of Physics, Kyoto Pref. University of Medicine
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