$$ \mathcal{N} $$ = 1 supersymmetric Double Field Theory and the generalized Kerr-Schild ansatz

RODRÍGUEZ, JESÚS A.; LESCANO, ERIC

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer

Año: 2020 vol. 2020

1029-8479

We construct the N = 1 supersymmetric extension of the generalized Kerr-Schildansatz in the flux formulation of Double Field Theory. We show that this ansatz iscompatible with N = 1 supersymmetry as long as it is not written in terms of generalizednull vectors. Supersymmetric consistency is obtained through a set of conditions thatimply linearity of the generalized gravitino perturbation and unrestricted perturbationsof the generalized background dilaton and dilatino. As a final step we parametrize theprevious theory in terms of the field content of the low energy effective 10-dimensionalheterotic supergravity and we find that the perturbation of the 10-dimensional vielbein,Kalb-Ramond field, gauge field, gravitino and gaugino can be written in terms of vectors,as expected.