The conformal null string in $d+2$ and $d$ dimensions

Abstract

In [arXiv:2605.26185 [hep-th]] it is pointed out how the tensionless string with a gauged scale symmetry discussed in the recent articles, [arXiv:2605.12414 [hep-th]], [arXiv:2605.25817 [hep-th]], [arXiv:2605.26822 [hep-th]], is a reduction of the conformal string [arXiv:hep-th/9410143 [hep-th]] to Minkowski space. Here we corroborate this by choices of slices in Dirac $d+2$ dimensional conformal space. We perform a Dirac reduction of the model and its algebra of constraints and see how they map to the constraints in $d$ dimensions, including how the semidirect product of the Virasoro algebra with a su(1,1) Kac-Moody algebra becomes the Corrollian-Weyl symmetry in $d$ dimensions.