Ideal fermion delocalization in five dimensional gauge theories

Abstract

We discuss ideal delocalization of fermions in a bulk $SU(2)\ifmmode\times\else\texttimes\fi{}SU(2)\ifmmode\times\else\texttimes\fi{}U(1)$ Higgsless model with a flat or warped extra dimension. So as to make an extra dimensional interpretation possible, both the weak and hypercharge properties of the fermions are delocalized, with the $U(1{)}_{Y}$ current of left-handed fermions being correlated with the $SU(2{)}_{W}$ current. We find that (to subleading order) ideal fermion delocalization yields vanishing precision electroweak corrections in this continuum model, as found in corresponding theory-space models based on deconstruction. In addition to explicit calculations, we present an intuitive argument for our results based on Georgi's spring analogy. We also discuss the conditions under which the essential features of an $SU(2)\ifmmode\times\else\texttimes\fi{}SU(2)\ifmmode\times\else\texttimes\fi{}U(1)$ bulk gauge theory can be captured by a simpler $SU(2)\ifmmode\times\else\texttimes\fi{}SU(2)$ model.