2023/08/31 by Yu. M. Zinoviev
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.1007/jhep10(2023)162
openalex created_date 2023/08/09 · openalex publication_date 2023/10/25 · openalex updated_date 2026/07/31
A bstract In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin- (5)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>5</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge invariant. Here we restrict ourselves with the massive bosons with spins s = 2, 1, 0 and massive fermions with spins s = (3)/(3) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>3</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> </mml:math> , (1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> . Our general analysis predicted that the vertex must exist for any boson and fermion with the spin difference (3)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>3</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> or (1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> . And indeed it appeared that the vertex exists for all six possible pairs (2, 1, 0) ⊗ ( (3)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>3</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> , (1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> ). As in the case of massive supermultiplets, our construction is based on the gauge invariant description for the massive fields with spins s ≥ 1. Moreover, we have explicitly checked that all the vertices are invariant also under the gauge symmetries of these massive fields.