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

Abstract

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.

57 pages, 3 eps figures, published version (with data added)

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Cited by in corpus (17)

• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Hanany-Witten Transition in Quantum Curves
• Two-Point Functions in ABJM Matrix Model
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
• Fermi gas approach to general rank theories and quantum curves
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• SU(N) q-Toda equations from mass deformed ABJM theory
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• M2-branes and $\mathfrak{q}$-Painlevé equations
• Brane Transitions from Exceptional Groups
• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
• Duality Cascades and Affine Weyl Groups
• Duality Cascades and Parallelotopes
• Topological phase, spin Chern-Simons theory and level rank duality on lens space
• Quantum Mirror Map for Del Pezzo Geometries