TY - JOUR
T1 - Duality-invariant superconformal higher-spin models
AU - Kuzenko, Sergei M.
AU - Raptakis, Emmanouil S.N.
PY - 2021/12/15
Y1 - 2021/12/15
N2 - We develop a general formalism of duality rotations for bosonic conformal spin-s gauge fields, with s≥2, in a conformally flat four-dimensional spacetime. In the s=1 case, this formalism is equivalent to the theory of U(1) duality-invariant nonlinear electrodynamics developed by Gaillard and Zumino, Gibbons and Rasheed, and generalized by Ivanov and Zupnik. For each integer spin s≥2 we demonstrate the existence of families of conformal U(1) duality-invariant models, including a generalization of the so-called ModMax electrodynamics (s=1). Our bosonic results are then extended to the N=1 and N=2 supersymmetric cases. We also sketch a formalism of duality rotations for conformal gauge fields of Lorentz type (m/2,n/2), for positive integers m and n.
AB - We develop a general formalism of duality rotations for bosonic conformal spin-s gauge fields, with s≥2, in a conformally flat four-dimensional spacetime. In the s=1 case, this formalism is equivalent to the theory of U(1) duality-invariant nonlinear electrodynamics developed by Gaillard and Zumino, Gibbons and Rasheed, and generalized by Ivanov and Zupnik. For each integer spin s≥2 we demonstrate the existence of families of conformal U(1) duality-invariant models, including a generalization of the so-called ModMax electrodynamics (s=1). Our bosonic results are then extended to the N=1 and N=2 supersymmetric cases. We also sketch a formalism of duality rotations for conformal gauge fields of Lorentz type (m/2,n/2), for positive integers m and n.
UR - http://www.scopus.com/inward/record.url?scp=85120822764&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.104.125003
DO - 10.1103/PhysRevD.104.125003
M3 - Article
AN - SCOPUS:85120822764
SN - 2470-0010
VL - 104
JO - Physical Review D
JF - Physical Review D
IS - 12
M1 - 125003
ER -