Yosuke Imamura

We investigate a squashing deformation of 3D $\mathcal{N}=2$ supersymmetric theories on three-sphere, which have four supercharges. The deformation preserves $SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}U(1{)}_{r}$ isometry and all four supersymmetries. We compute the partition function and find nontrivial dependence on the squashing parameter. We also consider the large $N$ limit of a certain class of quiver gauge theories which have free energy of order ${N}^{3/2}$, and show that the free ene

We analyze the moduli space of the low-energy limit of 3-dimensional N = 3 Maxwell-Chern-Simons theories described by circular quiver diagrams, as for 4-dimensional elliptic models. We define the theories by using D3-NS5-(k,1)5-brane systems with an arbitrary number of fivebranes. The supersymmetry is expected to be enhanced to N = 4 in the low-energy limit. We show that the Higgs branch, in which all bifundamental scalar fields develop vacuum expectation values, is an abelian orbifold of C 4 .

We compute the index of 6d N=(1,0) theories on S^5 x R containing vector and hypermultiplets. We only consider the perturbative sector without instantons. By compactifying R to S^1 with a twisted boundary condition and taking the small radius limit, we derive the perturbative partition function on a squashed S^5. The 1-loop partition function is represented in a simple form with the triple sine function.

We investigate a class of N = 4 quiver Chern-Simons theories and their gravity duals. We define the group of fractional D3-brane charges in a type IIB brane setup taking account of D3-brane creation due to the Hanany-Witten effect, and confirm that it agrees with the 3-cycle homology of the dual geometry, which describes the charges of fractional M2-branes, i.e., M5-branes wrapped on 3-cycles. The relation between the fractional brane charge and the torsion of the 3-form potential field is parti

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct actions. The supersymmetric Yang-Mills action is straightforwardly obtained from the supersymmetric Chern-Simons action by using a supersymmetry preserving constant vector multiplet.

Abstract We propose a prescription to calculate the superconformal index of the ${\cal N}=4$U(N) supersymmetric Yang–Mills theory with finite N on the anti-de Sitter side. The finite-N corrections are included as contributions of D3-branes wrapped around three-cycles in ${\boldsymbol S}^5$, which are calculated as the index of the gauge theories realized on the wrapped branes. The single-wrapping contribution has been studied in a previous work, and we further confirm that the inclusion of multi

We investigate ${\mathbit{S}}^{3}/{\mathbb{Z}}_{n}$ partition function of three-dimensional $\mathcal{N}=2$ supersymmetric field theories. In a gauge theory the partition function is the sum of the contributions of sectors specified by holonomies, and we should carefully choose the relative signs among the contributions. We argue that the factorization to holomorphic blocks is a useful criterion to determine the signs and propose a formula for them. We show that the orbifold partition function o

Abstract We investigate contributions of giant gravitons to the superconformal index. We concentrate on coincident giant gravitons wrapped around a single cycle, and each contribution is obtained by a certain variable change for fugacities from the index of the worldvolume theory on the giant gravitons. Because we treat the index as a series of fugacities and the variable change relates different convergence regions, we need an analytic continuation before summing up such contributions. We propo

We calculate the baryon mass in <f><inline-fig> <link locator="100-6-1263-eq001"></inline-fig></f> large <it>N</it> gauge theory by means of AdS/CFT correspondence and show that it is a truly bound state, at least in some situations. We find that a phase transition occurs at a critical temperature. Furthermore, we find there are bound states of W-bosons in the Higgs phase, where the gauge group is broken to <it>SU</it>(<it>N</it>&

The conventional supersymmetric grand unified theories suffer from two serious problems: the large mass splitting between doublet and triplet Higgs multiplets, and the too long lifetime of the proton. A unification model based on a semisimple group $\mathrm{SU}{(5)}_{\mathrm{GUT}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}{(3)}_{H}$ has been proposed to solve both of the problems simultaneously. Although the proposed model is perfectly consistent with observations, there are various mysteries.