arXiv subjects
Publications and source records attributed to Futoshi Yagi.
We study a simple class of orbifolds of the N=6 Chern-Simons Matter theory proposed by Aharony, Bergman, Jafferis and Maldacena. They are considered as a world volume theory of membranes probing C^4/ (Z_k x Z_n) and include a new membrane theory with N=4 supersymmetries. We find that the moduli spaces of them are consistent with the fact that they probe C^4/ (Z_k x Z_n).
We study baryonic operators of the gauge theory on multiple D3-branes at the tip of the conifold orbifolded by a discrete subgroup Gamma of SU(2). The string theory analysis predicts that the number and the order of the fixed points of Gamma acting on S^2 are directly reflected in the spectrum of baryonic operators on the corresponding quiver gauge theory constructed from two Dynkin diagrams of the corresponding type. We confirm the prediction by developing techniques to enumerate baryonic operators of the quiver gauge theory which includes the gauge groups with different ranks. We also find that the Seiberg dualities act on the baryonic operators in a non-Abelian fashion.
We give a detailed analysis of the superconformal fixed points of four-dimensional N=1 supersymmetric Spin(10) gauge theory with two spinors and vectors by using a-maximization procedure.
We extend the detailed analysis of the quantum moduli space of the cascading SU(p+M) x SU(p) gauge theory in the recent paper of Dymarsky, Klebanov, and Seiberg for the Sp(p+M) x Sp(p) cascading gauge theory, which lives on the world volume of p D3-branes and M fractional D3-branes at the tip of the orientifolded conifold. As in their paper, we also find in this case that the ratio of the deformation parameters of the quantum constraint on the different branches in the gauge theory can be reproduced by the ratio of the deformation parameters of the conifold with different numbers of mobile D3-branes.
We study four-dimensional N=1 Spin(10) gauge theory with a single spinor and vectors at the superconformal fixed point via the electric-magnetic duality and a-maximization. When gauge invariant chiral primary operators hit the unitarity bounds, we find that the theory with no superpotential is identical to the one with some superpotential at the infrared fixed point. The auxiliary field method in the electric theory offers a satisfying description of the infrared fixed point, which is consistent with the better picture in the magnetic theory. In particular, it gives a clear description of the emergence of new massless degrees of freedom in the electric theory.