Cubic interactions of d4 irreducible massless higher spin fields within BRST approach

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2022-11, Vol.82 (11), p.1007-7, Article 1007
• Main Authors: Buchbinder, I. L., Krykhtin, V. A., Snegirev, T. V.
• Format: Article
• Language: English
• Subjects: Apexes; Astronomy; Astrophysics and Cosmology; Boson fields; Elementary Particles; Field theory; Hadrons; Heavy Ions; Helicity; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Scalars; String Theory; Tensors; Theoretical physics
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-022-10981-y

We develop an approach to constructing the manifestly Lorentz covariant cubic interaction vertices for the four-dimensional massless higher spin bosonic fields with two-component dotted and undotted spinor indices. Such fields automatically satisfy the traceless conditions what simplify form of the equations determining the irreducible massless representation of the Poincaré group with given helicity. The cubic vertex is formulated in the framework of the BRST approach to higher spin field theory. Use of the above spin-tensor fields allows to simplify a form of the BRST-charge and hence to find the cubic vertices just in terms of irreducible higher spin fields. We derive an equation for the cubic vertex and find solutions for arbitrary spins s 1 , s 2 , s 3 with the number of derivatives s 1 + s 2 + s 3 in the vertex. As an example, we explicitly construct a vertex corresponding to the interaction of a higher spin field with scalars.