Local action for fermionic unconstrained higher spin gauge fields in AdS and dS spacetimes

2018/07/31 by Mojtaba Najafizadeh
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Effective action #Gauge (firearms) #Gauge theory #Geography #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #hep-th

paper · pdf · doi:10.1103/physrevd.98.125012

published as Phys. Rev. D 98, 125012 (2018) · 24 pages. v3: Subsec. 2.4 was added. Abstract, introduction and conclusion improved to match the accepted version in PRD

openalex created_date 2018/07/10 · arxiv created 2018/12/02 · openalex publication_date 2018/12/18 · arxiv updated 2018/12/20 · openalex updated_date 2026/08/05

Abstract

Building on Segal's local free action principle for bosonic unconstrained higher spin gauge fields in d-dimensional (A)dS_d spacetime, we present a similar action principle \`a la Segal for fermions in d-dimensional (A)dS_d spacetime. Moreover, at the level of equations of motion, we demonstrate how the Fronsdal and the Fang-Fronsdal equations in d-dimensional (A)dS_d spacetime are related, respectively, to the Euler-Lagrange equations of the bosonic and fermionic higher spin actions mentioned above.

Citations

• Introduction to the Classical Theory of Higher Spins
• Quartet unconstrained formulation for massless higher spin fields
• Parent Field Theory and Unfolding in BRST First-Quantized Terms
• On geometric equations and duality for free higher spins
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ?). Duality and Poincar� Lemma
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• Unconstrained higher spins of mixed symmetry I. Bose fields
• Higher spin gauge theories in various dimensions
• Tensor Gauge Fields in Arbitrary Representations of GL(D, ℝ) : II. Quadratic Actions
• Elements of Vasiliev theory
• From Higher Spins to Strings: A Primer
• A CSP Field Theory with Helicity Correspondence