Spinor-Helicity Formalism and ScatteringAmplitudes in Various Dimensions

Abstract: In recent decades, spinor-helicity formalism has gained popularity as a useful tool for studyingscattering amplitudes in four dimensions. This formalism has been extended to higher dimensions,but there is still much work to be done around its application. This thesis explores a new approachto extending the spinor-helicity formalism to ten dimensions by breaking the Lorentz symmetryinto two five-dimensional subspaces. We use this approach to express the ten-dimensional dynamical variables in terms of five-dimensional spinor helicities. We divide the polarization vectorsinto a direct sum of two massive polarization vectors, each living in five dimensions. We thenapply this new spinor-helicity formalism in ten dimensions to construct the YM, SYM, and higherderivative amplitudes. The results obtained in this thesis suggest that this approach may providea promising avenue for extending the spinor-helicity formalism relevant to SYM, supergravity, andsuperstring theory.