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The universal de Sitter anomaly channel is uniquely type-A

Authors: Lee, Howard S.;

The universal de Sitter anomaly channel is uniquely type-A

Abstract

We prove that the universal local anomaly channel of de Sitter geometry has a one-dimensional QFT image. In this channel, the geometry can depend on the microscopic quantum field theory only through a single protected datum: the type-A anomaly coefficient a. A four-dimensional CFT on a manifold with boundary contains several local anomaly data: the type-A Euler term, the type-B Weyl term, boundary charges, and scheme-dependent total derivatives. The de Sitter setting poses a sharper question: which of these data can be common to both the closed S⁴ saddle and the regulated static-patch horizon tube, while remaining independent of auxiliary regulator data and local counterterms? Under these requirements the surviving sector is unique: the only local anomaly sector in the image is the type-A Euler/Wess–Zumino term. Thus any observable derived solely from this channel can depend on the microscopic theory only through a.

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