TY - JOUR AU - de Azcarraga, J. A. AU - Izquierdo, J. M. PY - 2014 DA - 2014// TI - Minimal D=4 supergravity from the superMaxwell algebra T2 - Nucl. Phys. B JO - Nuclear Physics B SP - 34 EP - 45 VL - 885 PB - Elsevier Science Bv AB - We show that the first-order D = 4, N = 1 pure supergravity lagrangian four-form can be obtained geometrically as a quadratic expression in the curvatures of the Maxwell superalgebra. This is achieved by noticing that the relative coefficient between the two terms of the lagrangian that makes the action locally supersymmetric also determines trivial field equations for the gauge fields associated with the extra generators of the Maxwell superalgebra. Along the way, a convenient geometric procedure to check the local supersymmetry of a class of lagrangians is developed. SN - 0550-3213 UR - http://arxiv.org/abs/arXiv:1403.4128 UR - https://doi.org/10.1016/j.nuclphysb.2014.05.007 DO - 10.1016/j.nuclphysb.2014.05.007 LA - English N1 - WOS:000339598300003 ID - deAzcarraga+Izquierdo2014 ER -