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Boundary conformal invariants and the conformal anomaly in five dimensions

机译:边界保形不变性和五个维度的共形异常

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In odd dimensions the integrated conformal anomaly is entirely due to the boundary terms . In this paper we present a detailed analysis of the anomaly in five dimensions. We give the complete list of the boundary conformal invariants that exist in five dimensions. Additionally to 8 invariants known before we find a new conformal invariant that contains the derivatives of the extrinsic curvature along the boundary. Then, for a conformal scalar field satisfying either the Dirichlet or the conformal invariant Robin boundary conditions we use the available general results for the heat kernel coefficienta5, compute the conformal anomaly and identify the corresponding values of all boundary conformal charges.
机译:在奇数尺寸中,集成的共形异常完全是由于边界条款。在本文中,我们对五个维度的异常进行了详细的分析。我们提供了五个维度中存在的边界共形不变的完整列表。另外,在我们找到包含沿边界的外本曲率的衍生物的新的共形不变性之前,已知的8个不变性。然后,对于满足Dirichlet或共形不变的Robin边界条件的保形标量场,我们使用热核CeffITEA5的可用一般结果,计算共形异常并识别所有边界保形电荷的相应值。

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