Higher-derivative 3-algebras

Details Higher-derivative 3-algebras Higher-derivative 3-algebras

2008-08-22

arxiv.org/abs/0808.3067v2

JHEP 0810:032,2008

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex; V2: few comments added, refs added

Scientific paper

10.1088/1126-6708/2008/10/032

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.

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