The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space

Abstract

We show that a recently found set of supersymmetric equations of motion for a 3-Lie algebra-valued (2,0) tensor multiplet finds a natural interpretation as supersymmetric gauge field equations on loop space. We find that BPS solutions to these equations yield a previously proposed nonabelian extension of the selfdual string. We describe an ADHMN-like construction that allows for the explicit construction of such BPS solutions.

1+19 pages, minor changes, published version

References in corpus (20)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Comments on Multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• M2 to D2
• Selfdual strings and loop space Nahm equations
• The Self-Dual String Soliton
• A Noncommutative M-Theory Five-brane
• Nonabelian (2,0) Tensor Multiplets and 3-algebras
• Bagger-Lambert Theory for General Lie Algebras
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• N=8 superconformal gauge theories and M2 branes
• Open membranes in a constant C-field background and noncommutative boundary strings
• Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space
• Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra
• The non-Abelian tensor multiplet in loop space
• A reparametrization invariant surface ordering
• Loop space, (2,0) theory, and solitonic strings

Cited by in corpus (15)

• On S-duality of 5d super Yang-Mills on S^1
• Multiple Membranes in M-theory
• A Non-Abelian Self-Dual Gauge Theory in 5+1 Dimensions
• Brane Effective Actions, Kappa-Symmetry and Applications
• The Conformal Anomaly of M5-Branes
• On Twistors and Conformal Field Theories from Six Dimensions
• M-brane Models from Non-Abelian Gerbes
• Constructing Generalized Self-Dual Strings
• Aspects of Effective Theory for Multiple M5-Branes Compactified On Circle
• Generalized Higher Gauge Theory
• Self-dual String and Higher Instanton Solutions
• Towards an M5-Brane Model III: Self-Duality from Additional Trivial Fields
• Integrability structures in string theory
• Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
• A toy model for $p$-form gauge symmetry