Deconstructing KK Monopoles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, LaTeX; v.2: two references added; v.3: concluding section expanded and more references added (published version)

Scientific paper

10.1088/1126-6708/2003/08/044

We describe a procedure for finding Kaluza-Klein monopole solutions in deconstructed four and five dimensional supersymmetric gauge theories. In the deconstruction of a four dimensional theory, the KK monopoles are finite-action solutions of the Euclidean equations of motion of the finite lattice spacing theory. The "lattice" KK monopoles can be viewed as constituents of continuum-limit four dimensional instantons. In the five dimensional case, the KK monopoles are static finite-energy stringlike configurations, wrapped and twisted around the compact direction, and can similarly be interpreted as constituents of five dimensional finite-energy gauge solitons. We discuss the quantum numbers and zero modes of the towers of deconstructed KK monopoles and their significance for understanding anomalies and nonperturbative effects in deconstruction.

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