4D, N = 1 Born-Infeld supergravity

Abstract

We propose the 4D, N = 1 supergravitational analogues (avatars) of the 4D, N = 1 supersymmetric Born-Infeld action in four dimensions for the first time, by using superspace. In particular, a new Born-Infeld type generalization of the Weyl supergravity action is given. A natural new Born-Infeld type generalization of the Einstein supergravity is found as well. We also brielfy discuss a construction of the four-dimensional Born-Infeld-Einstein supergravity from the AdS supergravity in five dimensions, which seems to be very natural in our approach.

Massive vector multiplet inflation with Dirac-Born-Infeld type action

“…The action (28) has the DBI type structure with respect to the vector A (R) µ , but it also includes D 2 (R) = (R + 3B µ B µ /2) 2 in the square root, which yields the higher curvature correction [36,37].…”

Born-Infeld-type gravity

“…Because string inspired effective lagrangians are computed evaluating on shell graviton amplitudes (R µν = 0), the terms which contains at least twice the Ricci tensor or the Ricci scalar are non properly included. Supersymmetric BI type generalizations of Weyl supergravity action are given in [10].…”

Covariant procedures for perturbative nonlinear deformation of duality-invariant theories

“…[7,8], with a supersymmetric version later constructed in [9]. Studied extensively in [2][3][4][10][11][12][13][14][15], they have natural supersymmetric generalizations, as reviewed in refs. [3,4].…”

“…refs. [14,15] but, as of yet, no models with non-linear duality have ever been constructed for N ≥ 2 supergravity. The possibility that there may exist systematic procedures which can generate them is indeed intriguing.…”