2019/12/31 by Mojtaba Najafizadeh
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #BRST quantization #Black Holes and Theoretical Physics #Gauge theory #Helicity #Introduction to gauge theory #Quantum and Classical Electrodynamics #Spin (aerodynamics) #Supermultiplet #Supersymmetric gauge theory #Supersymmetry #Supersymmetry algebra #hep-th
paper · pdf · doi:10.1007/jhep03(2020)027
published as JHEP 03 (2020) 027 · 25 pages, v2: References, comments and appendices added
openalex created_date 2020/01/10 · arxiv created 2020/01/27 · openalex publication_date 2020/03/04 · arxiv updated 2022/02/08 · openalex updated_date 2026/08/05
A bstract Taking into account the Schuster-Toro action and its fermionic analogue discovered by us, we supersymmetrize unconstrained formulation of the continuous spin gauge field theory. Afterwards, building on the Metsaev actions, we supersymmetrize constrained formulation of the theory. In each formulation, we provide supersymmetry transformations for the N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 supermultiplet in four-dimensional flat space-time, in which continuous spin particle (CSP) is considered to be a complex scalar continuous spin field, and its super- partner which can be called “ CSPino ” is considered to be a Dirac continuous spin field. It is shown that the algebra of these supersymmetry transformations are closed on-shell. Furthermore, we investigate whether obtained supersymmetry transformations reproduce the known result of the higher spin gauge field theory in the helicity limit. Finally, we illustrate how these two separate set of obtained transformations are related to each other.