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

Abstract

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.

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

References in corpus (8)

• Five-Brane Effective Action In M-Theory
• The M2-M5 Brane System and a Generalized Nahm's Equation
• A New Approach to Integrable Theories in any Dimension
• Anomaly Matching and a Hopf-Wess-Zumino Term in 6d, N=(2,0) Field Theories
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• The non-Abelian tensor multiplet in loop space
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Cited by in corpus (5)

• Selfdual strings and loop space Nahm equations
• M-theory branes and their interactions
• The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• Closed non-abelian strings