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arXiv · 2501.17912

De Sitter Horizon Edge Partition Functions

Y. T. Albert Law
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Abstract

One-loop $S^{d+1}$ path integrals were shown to factorize into two parts: a bulk thermal ideal gas partition function in a $dS_{d+1}$ static patch and an edge partition function associated with degrees of freedom living on $S^{d-1}$. Here, we analyze the $\mathfrak{so}(d)$ structure of the edge partition functions for massive and massless totally symmetric tensors of arbitrary rank in any $d\geq 3$. For linearized Einstein gravity on $S^{d+1}$, we find that the edge partition function receives contributions from shift-symmetric vector and scalar fields on $S^{d-1}$, suggesting a possible interpretation in terms of an embedded $S^{d-1}$ brane.

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Y. T. Albert Law. 2025-01-29. De Sitter Horizon Edge Partition Functions. https://doi.org/10.1103/cm6p-9r4n

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