Compactifications of ADE conformal matter on a torus

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In this paper we study compactifications of ADE type conformal matter, N M5 branes probing ADE singularity, on torus with flux for global symmetry.

• We systematically construct the four dimensional theories by first going to five dimensions and studying interfaces.
• We claim that certain interfaces can be associated with turning on flux in six dimensions.
• The interface models when compactified on a circle comprise building blocks for constructing four dimensional models associated to flux compactifications of six dimensional theories on a torus.