Decoupling limits of sgoldstino modes in global and local supersymmetry

Abstract

We study the decoupling limit of a superheavy sgoldstino field in spontaneously broken N = 1 supergravity. Our approach is based on Kähler superspace, which, among others, allows direct formulation of N = 1 supergravity in the Einstein frame and correct identifications of mass parameters. Allowing for a non-renormalizable Kähler potential in the hidden sector, the decoupling limit of a superheavy sgoldstino is identified with an infinite negative Kähler curvature. Constraints that lead to non-linear realizations of supersymmetry emerge as consequence of the equations of motion of the goldstino superfield when considering the decoupling limit. Finally, by employing superspace Bianchi identities, we identify the real chiral superfield, which will be the superconformal symmetry breaking chiral superfield that enters the conservation of the Ferrra-Zumino multiplet in the field theory limit of N = 1 supergravity.

On sgoldstino-less supergravity models of inflation

“…In this case, f ′ (iϕ/ √ 2) = 0 is solved by 16) thus shifting the inflaton field by ϕ 0 and setting a = 0 we get 17) which coincides with (1.10) after the identification µ 2 1 = V 0 . Also in this case, it is easy to check that during inflation…”

“…It was recently shown that such a strategy can be consistently implemented also in supergravity [17][18][19], adding a suitable Lagrange multiplier to the original Lagrangian. As long as supersymmetry is broken in the S direction, F S = 0, the constraint (2.5) is solved by 6) which implies that sψ = s 2 = 0.…”

Component action of nilpotent multiplet coupled to matter in 4 dimensional N = 1 $$ \mathcal{N}=1 $$ supergravity

“…In refs. [26,27], it is shown that the VA multiplet is an effectively realized in the decoupling limit of the sGoldstino. Constrained complex linear multiplet has also been investigated as a Goldstone multiplet [28][29][30].…”

Constrained superfields in supergravity

“…While in the case of global supersymmetry there is a good understanding of many different constraints [1][2][3][4][5][6][7][8][9][10][11][12], there is still no general analysis available for constrained superfields in supergravity theories [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. With this work we aim at filling this gap, by analyzing known consistent globally supersymmetric constraints within the supergravity framework, providing their solutions and discussing the corresponding supergravity actions in superfield formalism.…”