Masato Taki

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

Surface operator, bubbling Calabi-Yau and AGT relation

\mathcal{N}

M5-branes, toric diagrams and gauge theory duality

 = 1 uplift of the 4D

On AGT conjecture for pure super Yang-Mills and W-algebra

\mathcal{N}

Line operators on S^1xR^3 and quantization of the Hitchin moduli space

 = 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.

A new 5d description of 6d D-type minimal conformal matter

Surface operators in

Tao probing the end of the world

\mathcal{N} = 2

Fiber-base duality and global symmetry enhancement

four-dimensional gauge theories are interesting half-BPS objects. These operators inherit the connection of gauge theory with the Liouville conformal field theory, which was discovered by Alday, Gaiotto and Tachikawa. Moreover it has been proposed that toric branes in the A-model topological strings lead to surface operators via the geometric engineering. We analyze the surface operators by making good use of topological string theory. Starting from this point of view, we propose that the wave-function behavior of the topological open string amplitudes geometrically engineers the surface operator partition functions and the Gaiotto curves of corresponding gauge theories. We then study a peculiar feature that the surface operator corresponds to the insertion of the degenerate fields in the conformal field theory side. We show that this aspect can be realized as the geometric transition in topological string theory, and the insertion of a surface operator leads to the bubbling of the toric Calabi-Yau geometry.

W_3 irregular states and isolated N=2 superconformal field theories

A bstractIn this article we explore the duality between the low energy effective theory of five-dimensional

Line operators on \( {S^{{1}}} \times {\mathbb{R}^{{3}}} \) and quantization of the Hitchin moduli space

\mathcal{N} = {1}\,{\text{SU}}{(N)^{{M - {1}}}}