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Nonabelian (2,0) Tensor Multiplets and 3-algebras

Neil Lambert, Constantinos Papageorgakis

Abstract

Using 3-algebras we obtain a nonabelian system of equations that furnish a representation of the (2,0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so that the system can be reduced to five-dimensional gauge theory along with six-dimensional abelian (2,0) tensor multiplets. We briefly discuss possible applications to D4-branes using a spacelike reduction and M5-branes using a null reduction.

Nonabelian (2,0) Tensor Multiplets and 3-algebras

Abstract

Using 3-algebras we obtain a nonabelian system of equations that furnish a representation of the (2,0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so that the system can be reduced to five-dimensional gauge theory along with six-dimensional abelian (2,0) tensor multiplets. We briefly discuss possible applications to D4-branes using a spacelike reduction and M5-branes using a null reduction.

Paper Structure

This paper contains 13 sections, 58 equations.

Table of Contents

  1. Introduction
  2. A nonabelian $(2,0)$ Tensor Multiplet
  3. Closure on $X^I_A$
  4. Closure on $C^\mu_A$
  5. Closure on $\tilde{A}^A_{\mu \;B}$
  6. Closure on $H_{\mu\nu\lambda \;A}$
  7. Closure on $\Psi_A$
  8. Summary
  9. Relation to Five-Dimensional SYM
  10. Lorentzian Case
  11. The Euclidean case and 'D4 to D4'
  12. Null Reduction and BPS states
  13. Conclusions