Vladimir Mitev

Non-Lagrangian theories from brane junctions

A bstractIn this article we use 5-brane junctions to study the 5D TN SCFTs corresponding to the 5D

Fiber-base duality and global symmetry enhancement

\mathcal{N}

Toda 3-point functions from topological strings

 = 1 uplift of the 4D

Principal Chiral Model on Superspheres

\mathcal{N}

Bootstrapping

 = 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.

\mathcal{N} = 3

A bstractWe show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV fixed point. The fiber-base duality is responsible for the global symmetry enhancement. For SU(2) with Nf ≤ 7 flavors the fiber-base symmetry together with the manifest flavor SO(2Nf) symmetry generate the ENf+1

The sigma model on complex projective superspaces

{\mathrm{E}}_{N_{f+1}}

All tree-level MHV form factors in

global symmetry, while in the higher rank case the manifest global symmetry of the two dual theories related by the fiber-base duality map generate the symmetry enhancement. The symmetry enhancement at the level of the partition function is manifest once we chose an appropriate reparametrization for the Coulomb moduli.