The major benefit of compact dimensions in both string and field theories is that they produce the gauge group of the nonabelian gauge (Yang-Mills) symmetry. This is analogous to the Kaluza-Klein idea of a compactified 5th dimension generating the U(1) gauge group of electrodynamics...
Hi all. I have here a reference with a representation of the Lie algebra of my symmetry group in terms the fields in my Lagrangian. In order to calculate Noether currents, I would like to use this representation to derive formulae for the infinitesimal forms of the symmetry transformations...
Hi ehrenfest. First I should say that your interests and mine are very similar. I was torn between an applied math and a physics graduate program. I chose to join a terminal master's program in math and worked with a condensed matter guy for my thesis. There are plenty of interesting math...