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Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory

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arxiv 2208.02004 v2 pith:ZJZAOVTM submitted 2022-08-03 hep-th

M.A. Vasiliev This is my paper
classification hep-th
keywords verticesspace-timeprojectively-compactspin-localspinorhigher-spinspin-localityargued
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The concepts of compact and projectively-compact spin-local spinor vertices are introduced. Vertices of this type are shown to be space-time spin-local, i.e. their restriction to any finite subset of fields is space-time local. The known spinor spin-local cubic vertices with the minimal number of space-time derivatives are verified to be projectively-compact. This has the important consequence that spinor spin-locality of the respective quartic vertices would imply their space-time spin-locality. More generally, it is argued that the proper class of solutions of the non-linear higher-spin equations that leads to the minimally non-local (presumably space-time spin-local) vertices is represented by the projectively-compact vertices. The related aspects of the higher-spin holographic correspondence are briefly discussed.

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Cited by 3 Pith papers

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