A Ten-Dimensional Super-Yang-Mills Action with Off-Shell Supersymmetry

Abstract

After adding seven auxiliary scalar fields, the action for ten-dimensional super-Yang-Mills contains an equal number of bosonic and fermionic non-gauge fields. Besides being manifestly Lorentz and gauge-invariant, this action contains nine spacetime supersymmetries whose algebra closes off-shell. Octonions provide a convenient notation for displaying these symmetries.

6 pages plain Tex, KCL-TH-93-11 (a clarifying comment is made concerning the statistics of the supersymmetry transformation)

References in corpus (1)

• A twistor formulation of the heterotic D=10 superstring with manifest (8,0) worldsheet supersymmetry

Cited by in corpus (42)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• The ultra-violet question in maximally supersymmetric field theories
• A magic pyramid of supergravities
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Gravity as the square of Yang-Mills?
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• On the quantum entropy function in 4d gauged supergravity
• Super Yang-Mills, division algebras and triality
• Ten-dimensional super-Yang-Mills with nine off-shell supersymmetries
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Rigid 6D supersymmetry and localization
• Global symmetries of Yang-Mills squared in various dimensions
• Localization of N=4 Superconformal Field Theory on S^1 x S^3 and Index
• Supersymmetric Wilson loops in N=4 SYM and pure spinors
• Twisting and localization in supergravity: equivariant cohomology of BPS black holes
• On twisted N=2 5D super Yang-Mills theory
• N=2 SUSY gauge theories on S^4
• Emergent bubbling geometries in the plane wave matrix model
• Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
• Supersymmetry algebras and Lorentz invariance for d=10 Super Yang-Mills
• Maximally Supersymmetric RG Flows in 4D and Integrability
• 7D supersymmetric Yang-Mills on curved manifolds
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• One-dimensional sigma-models with N=5,6,7,8 off-shell supersymmetries
• Five-dimensional Supergravity in N = 1/2 Superspace
• Functional determinants, index theorems, and exact quantum black hole entropy
• Twisted N=4 Super Yang-Mills Theory in Omega-background
• Auxiliary Fields for Super Yang-Mills from Division Algebras
• The non-Abelian tensor multiplet
• N=1 Supercurrents of Eleven-dimensional Supergravity
• Supersymmetric gauge theory on curved 7-branes
• Components of Eleven-dimensional Supergravity with Four Off-shell Supersymmetries
• (1,0) gauge theories on the six-sphere
• Intersecting Flavor Branes
• Materializing Superghosts
• Unified Octonionic Representation of the 10-13 Dimensional Clifford Algebra
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Octonions and Super Lie algebra
• BV Formalism and Partition Functions
• Supersymmetric Yang-Mills theory on conformal supergravity backgrounds in ten dimensions