Infinite spin fields in d = 3 and beyond

Abstract

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge invariant objects and all the necessary extra fields). Moreover we find the supertransformations for the supermultiplet containing one bosonic and one fermionic fields leaving the sum of their Lagrangians invariant. Properties of such fields and supermultiplets in four and higher dimensions are also briefly discussed.

14 pages, 3 figures. Expanded version of the talks given at "Workshop on higher spin gauge fields", 26-28 April 2017, UMONS, Mons, Belgium and "Ginzburg centennial conference on physics", May 29 - June 03 2017, LPI, Moscow, Russia

References in corpus (20)

• On Massive High Spin Particles in (A)dS
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• Frame-like gauge invariant formulation for massive high spin particles
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Continuous spin gauge field in (A)dS space
• A gauge field theory of fermionic Continuous-Spin Particles
• Fermionic continuous spin gauge field in (A)dS space
• Massive N=1 supermultiplets with arbitrary superspins
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
• Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS_3 space
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• Lagrangian description of massive higher spin supermultiplets in AdS_3 space
• A New Class of Particle in 2+1 Dimensions
• A CSP Field Theory with Helicity Correspondence
• Towards the Fradkin-Vasiliev formalism in three dimensions
• Lagrangian formulation of the massive higher spin supermultiplets in three dimensional space-time

Cited by in corpus (2)

• Light-cone continuous-spin field in AdS space
• BRST-BV approach to continuous-spin field