arXiv subjects

Nariaki Matsumiya

Publications and source records attributed to Nariaki Matsumiya.

3 recordsLinked to original sources

arXiv2015

5D SYM on 3D Deformed Spheres

We reconsider the relation of superconformal indices of superconformal field theories of class S with five-dimensional N=2 supersymmetric Yang-Mills theory compactified on the product space of a round three-sphere and a Riemann surface. We formulate the five-dimensional theory in supersymmetric backgrounds preseving N=2 and N=1 supersymmetries and discuss a subtle point in the previous paper concerned with the partial twisting on the Riemann surface. We further compute the partition function by localization of the five-dimensional theory on a squashed three-sphere in N=2 and N=1 supersymmetric backgrounds and on an ellipsoid three-sphere in an N=1 supersymmetric background.

hep-th↗

arXiv2013

5D SYM and 2D q-Deformed YM

We study the AGT-like conjectured relation of a four-dimensional gauge theory on the direct product of a three-sphere and a circle to two-dimensional q-deformed Yang-Mills theory on a Riemann surface by using a five-dimensional N=2 supersymmetric Yang-Mills theory on the direct product of the three-sphere and the Riemann surface, following the conjectured relation of the six-dimensional N=(2,0) theory on the circle to the five-dimensional Yang-Mills theory. Our results are in perfect agreement with both of the conjectures.

hep-th↗

arXiv2012

5D SYM on 3D Sphere and 2D YM

It is shown by using localization that in five-dimensional N=1 supersymmetric Yang-Mills theory on a three-dimensional sphere, correlation functions in a sector are identical to correlation functions in two-dimensional bosonic Yang-Mills theory.

hep-th↗