General Cubic Interacting Vertex for Massless Integer Higher Spin Fields

Seminars

Seminar “Modern Mathematical Physics”

Date and Time: Tuesday, 5 October 2021, at 1:00 PM

Venue: Online conference on Zoom, Bogoliubov Laboratory of Theoretical Physics

Seminar topic: “General Cubic Interacting Vertex for Massless Integer Higher Spin Fields”

Speaker: A. A. Reshetnyak (Tomsk State Pedagogical University)

Abstract:

We consider a massless higher spin field theory within the BRST approach and construct a general off-shell cubic vertex corresponding to irreducible higher spin fields of helicities s1, s2, s3.
Unlike the previous works on cubic vertices, which do not take into account the trace constraints, we use the complete BRST operator, including the trace constraints that describe an irreducible representation with definite integer helicity.
As a result, we generalize the cubic vertex found in arXiv:1205.3131 [hep-th] and calculate the new contributions to the vertex, which contain additional terms with a smaller number of space-time derivatives of the fields as well as the terms without derivatives.