Gravitino interactions from Yang-Mills theory

We fabricate gravitino vertex interactions, using as only input on-shell Yang-Mills amplitudes and the Kawai-Lewellen-Tye gauge theory/gravity relations, aiming to achieve a better understanding of Kawai-Lewellen-Tye factorizations for gravitinos at an off-shell Lagrangian level. A useful by-product of this analysis is simpler tree-level Feynman rules for gravitino scattering than in traditional gauges. All results are explicitly verified until five-point scattering.

Figure 1

Color-ordered Feynman rules for gluons and gluinos in Feynman gauge with all momenta outgoing.

Figure 2

Factorization of the gravitino three vertex.

Figure 3

The scheme for obtaining the four vertex through the KLT relations.

Figure 4

The factorization of the gravitino contact term.

Figure 5

The four diagrams we need to compute the amplitude ${\mathcal{M}}_4(1_{\tilde{h}}^{-},2_h^{-},3_{\tilde{h}}^{+},4_h^{+})$.

Figure 6

The gravitino propagator.

Figure 7

The graviton three vertex.

Figure 8

The three different gluon/gluino diagrams with cancelled poles.

Figure 9

The factorization of the gravitino-graviton contact term.

Figure 10

The five different diagram topologies for the five-point function.