The coupling of non-linear supersymmetry to supergravity

Abstract

We study the coupling of non-linear supersymmetry to supergravity. The goldstino nilpotent superfield of global supersymmetry coupled to supergravity is described by a geometric action of the chiral curvature superfield R subject to the constraint (R − λ) 2 = 0 with an appropriate constant λ. This constraint can be found as the decoupling limit of the scalar partner of the goldstino in a class of f (R) supergravity theories.

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.…”

A superfield constraint for N $$ \mathcal{N} $$ = 2 → N $$ \mathcal{N} $$ = 0 breaking

“…The latter include supergravity models of the inflationary phase [12][13][14][15] (see [16] for a recent review), the coupling of the Volkov-Akulov model to supergravity, in its dual (higherderivative [17][18][19][20][21][22] and two-derivative [23,24]) forms, toy models of orientifold vacua [25][26][27][28][29][30][31][32][33][34] with "brane supersymmetry breaking" [35][36][37][38][39][40][41] and detailed realizations of the KKLT construction [42][43][44][45][46], whose potential uplift emerges from similar aspects of D-brane dynamics.…”

Constrained superfields and applications

“…Constrained superfields and non-linear realizations have various applications: For example the Supersymmetric Standard Model [14][15][16], the current de Sitter phase of our universe [17][18][19][20][21][22][23][24][25][26][27], or the inflationary phase [28][29][30][31][32][33][34][35][36][37][38][39]. The String/Brane origin of constrained superfields is also under study [40][41][42][43][44][45][46][47][48][49][50][51].…”