Fields in nonaffine bundles. IV. Harmonious non-Abelian currents in string defects

Non-Abelian String Conductivity

We examine current-carrying configurations of cosmic strings in non-Abelian gauge theories. We study the solutions numerically and point out that the currents will be at best dynamically stable and not subject to any topological quantisation or conservation, as in conventional models of string superconduction. We suggest that non-Abelian string loops may be unable to support persistent currents...

Abelian and Non–Abelian Dualities in String Backgrounds

We present a brief discussion of recent work on duality symmetries in non–trivial string backgrounds. Duality is obtained from a gauged non–linear σ–model with vanishing gauge field strength. Standard results are reproduced for abelian gauge groups, whereas a new type of duality is identified for non–abelian gauge groups. Examples of duals of WZW models and 4–d black holes are given. String The...

Higgs Bundles and Non-abelian Hodge Theory

Heterotic Vacua from general (non-) Abelian Bundles

We report on the construction of four-dimensional string vacua by considering general abelian and nonabelian bundles on an internal Calabi-Yau for both heterotic theories. The structure of the resulting gauge sector is extremely rich and gives rise to many new model building possibilities. We analyse the chiral spectrum including the contribution from heterotic five-branes and provide the gener...

Non-Abelian Ramond-Neveu-Schwarz String Theory

We construct a locally supersymmetric worldsheet formulation of a nonAbelian Ramond-Neveu-Schwarz (NARNS) string theory where the string coordinates are noncommuting matrices in a group U(N). This is described by the two dimensional supergravity coupled to supersymmetric Yang-Mills fields and adjoint matters in the gauge group U(N). We show that our NARNS string theory has a free string limit w...