Higher-derivative 3-algebras

Understand

Starting with the N=8 supersymmetric Yang-Mills theory on D2-branes and incorporating higher-derivative corrections to lowest nontrivial order, we perform a duality to derive the Lorentzian 3-algebra theory along with a set of derivative corrections.

• We find that these corrections can be expressed entirely in terms of intrinsic 3-algebra quantities: the 3-bracket and covariant derivatives.
• Our analysis is performed for both bosonic and fermionic terms.
• We conjecture that the derivative corrections we obtain are relevant for Euclidean 3-algebra theories as well.