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

Abstract

We construct the $$ \mathcal{N} $$ N = 1 supersymmetric extension of the generalized Kerr-Schild ansatz in the flux formulation of Double Field Theory. We show that this ansatz is compatible with $$ \mathcal{N} $$ N = 1 supersymmetry as long as it is not written in terms of generalized null vectors. Supersymmetric consistency is obtained through a set of conditions that imply linearity of the generalized gravitino perturbation and unrestricted perturbations of the generalized background dilaton and dilatino. As a final step we parametrize the previous theory in terms of the field content of the low energy effective 10-dimensional heterotic 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.

A double copy for asymptotic symmetries in the self-dual sector

“…The idea of gravity as a double copy (DC) 1 has found applications in the study of numerous aspects of the gravitational theory, most notably scattering amplitudes, where much of the recent success has been driven by the identification of a duality between the color and kinematic factors, the so-called Bern-Carrasco-Johannson (BCJ) duality [4][5][6][7][8][9][10][11]. It has progressed to the study of solutions, both perturbative [12][13][14][15][16][17][18] and exact [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. Another important extension has been to find manifestations of it beyond gravity theory [36][37][38][39][40][41][42].…”

The classical double copy for M-theory from a Kerr-Schild ansatz for exceptional field theory

“…Going to exceptional field theories of higher rank will fix this and the associated harmonic function will then be for higher codimension and be better behaved asymptotically. One may also consider the Killing spinor equation within the framework of KS formalism in the supersymmetric version of SL(5) ExFT, which may lead to linear first order partial differential equations as in [75,118].…”

Higher-derivative heterotic Double Field Theory and classical double copy

“…where κ = 2κ 2+κ(l•l) and the dilaton is perturbed as showed in [29]. Moreover, the first order Lorentz transformation for the exact b-field now takes the following form…”

“…where η This ansatz (plus a generalized dilaton perturbation) is the duality invariant analogous of the ordinary Kerr-Schild ansatz [21][22][23][24][25][26][27], and the inclusion of a pair of generalized null vectors is closely related with the chiral structure of DFT. This duality invariant ansatz was recently used in different context as exceptional field theory [28], supersymmetry [29], among others [30][31][32][33][34].…”