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Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings

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arxiv 1704.04358 v2 pith:QBI35VXS submitted 2017-04-14 hep-th

classification hep-th
keywords deformationstopologicalchern-simonseffectsinstantonknownone-parameterrank
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In the so-called (2,2) theory, which is the U(N)^4 circular quiver superconformal Chern-Simons theory with levels (k,0,-k,0), it was known that the instanton effects are described by the free energy of topological strings whose Gopakumar-Vafa invariants coincide with those of the local D_5 del Pezzo geometry. By considering two types of one-parameter rank deformations U(N) x U(N+M) x U(N+2M) x U(N+M) and U(N+M) x U(N) x U(N+M) x U(N), we classify the known diagonal BPS indices by degrees. Together with other two types of one-parameter deformations, we further propose the topological string expression when both of the above two deformations are turned on.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Vertices of fundamental domains for del Pezzo quantum curves with FI parameters are realized as factorized curves from 5-branes dressed by FI parameters, matching minuscule weights.

  2. Finiteness and Uniqueness of Duality Cascades in Three Dimensions for Affine Quivers

    hep-th 2024-11 conditional novelty 6.0 of 10

    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.

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