For affine D and E quiver Chern-Simons theories, duality cascades terminate uniquely only under large-rank restrictions because the associated polytope tiles the parameter space with gaps.
Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
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abstract
Recently it was found that the density matrix for a certain orthosymplectic Chern-Simons theory matches with that for the ABJM theory with the odd chiral projection. We prove this fact for a general case with the inclusion of fractional branes. We also identify the first few diagonal Gopakumar-Vafa invariants for the grand potential constructed from the chirally projected density matrix.
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Finiteness and Uniqueness of Duality Cascades in Three Dimensions for Affine Quivers
For affine D and E quiver Chern-Simons theories, duality cascades terminate uniquely only under large-rank restrictions because the associated polytope tiles the parameter space with gaps.