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arXiv · 2203.06014

Dark Energy and the Spinning Superparticle

Daniel Bockisch·Ivo Sachs
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Abstract

We revisit the theory of background fields constructed on the BRST-algebra of a spinning particle with $\mathcal{N}=4$ worldline supersymmetry, whose spectrum contains the graviton but no other fields. On a generic background, the closure of the BRST algebra implies the vacuum Einstein equations with a cosmological constant that is undetermined. On the other hand, in the "vacuum" background with no metric, the cohomology is given by a collection of free scalar- and vector fields. Only certain combinations of linear excitations, necessarily involving a vector field, can be extended beyond the linear level with the vector field inducing an Einstein metric.

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Daniel Bockisch, Ivo Sachs. 2022-03-11. Dark Energy and the Spinning Superparticle. https://arxiv.org/abs/2203.06014

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