Non-Lagrangian theories from brane junctions

DOI number:10.1007/jhep01(2014)175

Journal:Journal of High Energy Physics

Abstract:In this article we use 5-brane junctions to study the 5D T_N SCFTs corresponding to the 5D N=1 uplift of the 4D 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 superconformal 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 W_N Toda theories.

Note:The preprint version is available at https://arxiv.org/abs/1310.3841

Co-author:Ling Bao,Vladimir Mitev,Elli Pomoni,Masato Taki,Futoshi Yagi

Indexed by:SCI

Discipline:Science

Volume:01(2014)

Issue:175

Translation or Not:no

Date of Publication:2014-01-30

Included Journals:SCI

Links to published journals:https://doi.org/10.1007/jhep01(2014)175