Loop space, (2,0) theory, and solitonic strings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages, v3: section 5 is rewritten and string solutions are found, v4: a new section on general covariance in loop space

Scientific paper

10.1088/1126-6708/2006/12/066

We present an interacting action that lives in loop space, and we argue that this is a generalization of the theory for a free tensor multiplet. From this action we derive the Bogomolnyi equation corresponding to solitonic strings. Using the Hopf map, we find a correspondence between BPS strings and BPS monopoles in four-dimensional super Yang-Mills theory. This enable us to find explicit BPS saturated solitonic string solutions.

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