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Starting from the three dimensional N=8 BLG and N=6 BL theories with CS levelk=1, a dimensional reduction is performed on the M2-branes worldvolume. The IRlimit of these 2D EFTs should represent the action of F1 strings in type IIA.The CS term reduces to a particular Phi*F term and the scalars and fermions get"mass" terms. The reduced actions still rely on three-algebra, which we did notrequire to define precisely.

Reduction of the N=8 BLG and N=6 BL Theories to 2D Effective Field Theories