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arXiv · 1704.04358

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

Sanefumi Moriyama·Shota Nakayama·Tomoki Nosaka
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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.

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Sanefumi Moriyama, Shota Nakayama, Tomoki Nosaka. 2017-04-14. Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings. https://doi.org/10.1007/jhep08(2017)003

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