Ponente
Descripción
In the past few decades, on-shell techniques have revolutionized computation and our understanding of scattering
amplitudes. In particular, N=4 Super Yang-Mills(SYM) amplitudes exhibit rich mathematical structures which have been the centre of these developments. At the tree level, N=4 SYM amplitudes coincide with Yang-Mills amplitudes relevant to the study of gluons, and at loop level, they capture the highest transcendental weight part of gluon amplitudes. While most of these developments concentrate on the origin of the moduli space of SYM, recently Herderschee et al constructed the
amplitudes in the Coulomb branch of N=4 SYM by using massive spinor helicity formalism developed by Arkani-Hamed et al. We use this formalism to construct the scattering amplitude for N=2 theory, which is a close cousin of N=4 SYM theory. We prescribe a projection from N=4 SYM to N=2 three-point amplitudes. We then perform BCFW recursion within N=2 to compute the four-point amplitudes which agree with the
projection from the four-point N=4 Coulomb branch amplitude. This gives insights into BCFW within N=2 theories. In particular, for N=2, we see that even though BCFW has poles at infinity, we will see that little group non-covariance lets us ignore poles at infinity and the shift-dependent part of the BCFW integrand before computing the residues. The talk is based on 2202.12204.
