Abstract M5-branes on an associative three-cycle M 3 in a G 2-holonomy manifold give rise to a 3d N=1 $$ \mathcal{N}=1 $$ supersymmetric gauge theory. TN=1M3 $$ {T}_{\mathcal{N}=1}\left[{M}_3\right] $$. We propose an N=1 $$ \mathcal{N}=1 $$ 3d-3d correspondence. based on two observables of these theories: the Witten index and the S 3-partition function. https://www.deltarenewablepower.com/product-category/training-course/