Non-Lagrangian theories from brane junctions
By L. Bao, V. Mitev, E. Pomoni, Masato Taki, F. Yagi. 2013
146 citations recorded by the source corpus.
A bstractIn this article we use 5-brane junctions to study the 5D TN SCFTs corresponding to the 5D $ \mathcal{N} $ = 1 uplift of the 4D $ \mathcal{N} $ = 2 strongly coupled gauge theories, which are obtained by compactifying N M5 branes on a sphere with three full punctures. Even though these theories have no Lagrangian description, by using the 5-brane junctions proposed by Benini, Benvenuti and Tachikawa, we are able to derive their Seiberg-Witten curves and Nekrasov partition functions. We cross-check our results with the 5D super-conformal index proposed by Kim, Kim and Lee. Through the AGTW correspondence, we discuss the relations between 5D superconformal indices and n-point functions of the q-deformed WN Toda theories.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/58c793f634c1beaa50efff2da6e84cd2c7175ccb
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Citations in the corpus
- Defects and quantum Seiberg-Witten geometry (2014, background): “The subtle issues related to the U(1) part in the 5d partition functions are discussed in [49–51].”
- General instanton counting and 5d SCFT (2014, methodology): “Here we note that [31] computed the E7 index from topological strings by Higgsing the 5d T4 theory, and [31, 32] computed the E6 index from the 5d T3 theory.”