Instanton effects in rank deformed superconformal Chern-Simons theories from topological strings

Autor: Sanefumi Moriyama, Shota Nakayama, Tomoki Nosaka
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 8, Pp 1-50 (2017)
Druh dokumentu: article
ISSN: 1029-8479
52627071
DOI: 10.1007/JHEP08(2017)003
Popis: 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)×U(N + M)×U(N + 2M)×U(N + M) and U(N + M)×U(N)×U(N + M)×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.
Databáze: Directory of Open Access Journals
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