Worldsheet free fields, higher spin symmetry, and free N=4 super-Yang-Mills theory

초록

By using the free field worldsheet realization described by Gaberdiel and Gopakumar recently, we construct the nontrivial lowest generators of the higher spin superalgebra hs(2, 214). They consist of cubic terms between the bilinears of ambitwistorlike fields. We also obtain the worldsheet description for the findings of Sezgin and Sundell twenty years ago given by the familiar oscillator construction. The first order poles of the operator product expansions (OPEs), between the conformal weight-1 generators of Lie superalgebra PSU(2, 214) and the above conformal weight-3 generators of hs(2, 214), are determined explicitly and the additional generators appear in the worldsheet theory.

키워드