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

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Starting from the three dimensional N=8 BLG and N=6 BL theories with CS level k=1, a dimensional reduction is performed on the M2-branes worldvolume. The IR limit 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 not require to define precisely.
10 pages, 1 figure

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