Deconstructing KK monopoles
Author(s) -
Erich Poppitz
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/08/044
Subject(s) - instanton , magnetic monopole , physics , euclidean geometry , lattice (music) , gauge theory , lattice field theory , lattice gauge theory , theoretical physics , deconstruction (building) , mathematical physics , equations of motion , kaluza–klein theory , quantum mechanics , geometry , mathematics , acoustics , ecology , biology
We describe a procedure for finding Kaluza-Klein monopole solutions indeconstructed four and five dimensional supersymmetric gauge theories. In thedeconstruction of a four dimensional theory, the KK monopoles are finite-actionsolutions of the Euclidean equations of motion of the finite lattice spacingtheory. The "lattice" KK monopoles can be viewed as constituents ofcontinuum-limit four dimensional instantons. In the five dimensional case, theKK monopoles are static finite-energy stringlike configurations, wrapped andtwisted around the compact direction, and can similarly be interpreted asconstituents of five dimensional finite-energy gauge solitons. We discuss thequantum numbers and zero modes of the towers of deconstructed KK monopoles andtheir significance for understanding anomalies and nonperturbative effects indeconstruction.Comment: 20 pages, LaTeX; v.2: two references added; v.3: concluding section expanded and more references added (published version
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