https://doi.org/10.1140/epjc/s10052-023-12308-x
Regular Article - Theoretical Physics
Moderately non-local 
vertices in the 
higher-spin gauge theory
I.E. Tamm Department of Theoretical Physics, Lebedev Physical Institute, Leninsky Prospect 53, 119991, Moscow, Russia
Received:
12
September
2023
Accepted:
27
November
2023
Published online:
19
December
2023
A new concept of moderate non-locality in higher-spin gauge theory is introduced. Based on the recently proposed differential homotopy approach, a moderately non-local scheme, that is softer than those resulting from the shifted homotopy approach available in the literature so far, is worked out in the mixed sector of the Vasiliev higher-spin theory. To calculate moderately non-local vertices 
for all ordering of the fields 
and C we apply an interpolating homotopy, that respects the moderate non-locality in the perturbative analysis of the higher-spin equations.
© The Author(s) 2023
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