arXiv subjects
Publications and source records attributed to Y. S. Akshay.
We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincaré algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and find that they possess interesting factorization properties, identical to the case of three boson scattering.
We derive a class of cubic interaction vertices for three higher spin fields, with integer spins $λ_1$, $λ_2$, $λ_3$, by closing commutators of the Poincaré algebra in four-dimensional flat spacetime. We find that these vertices exhibit an interesting factorization property which allows us to identify off-shell perturbative relations between them.
Based purely on symmetry considerations, we derive the following result: in momentum space, the coefficient of the cubic interaction vertex for a spin $λ$ field is equal to the corresponding Yang-Mills (spin 1) coefficient, raised to the power $λ$. This result is valid for all $λ$ for Lagrangians that contain a cubic interaction vertex of the form $λ$-$λ$-$λ$, in four-dimensional flat spacetime. For $λ=3$, we present an additional derivation of this result.
We obtain a closed form expression for the Action describing pure gravity, in light-cone gauge, in a four-dimensional Anti de Sitter background. We perform a perturbative expansion of this closed form result to extract the cubic interaction vertex in this gauge.