A Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet is constructed by adding a self-dual three-form that decouples as a supersymmetry singlet, with an exploratory non-abelian generalization.
Emergent Time and the M5-Brane
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We consider the maximal super-Yang-Mills theory in 5 Euclidean dimensions with SO(5) R-symmetry and 16 supersymmetries. We argue that the strong coupling limit of this theory (with a possible UV completion) has an emergent time dimension and gives a description of the 5+1 dimensional Lorentz invariant (2,0) theory of the M5-brane, compactified on a timelike circle with radius R=g^2/4\pi^2 . Our discussion involves issues of quantization of Euclidean theories without time.
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(2,0) Lagrangian Structures
A Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet is constructed by adding a self-dual three-form that decouples as a supersymmetry singlet, with an exploratory non-abelian generalization.