arXiv subjects
Publications and source records attributed to Akihisa D. -E. Tateishi.
Using the $\mathcal{N}=1$ superfield formalism, we prove that the superconformal symmetry of $\mathcal{N}=4$ super-Yang-Mills theory is preserved in the quantum theory. We demonstrate that the $\mathcal{N}=1$ calculation is sufficient to guarantee the full $\mathcal{N}=4$ supersymmetry, and show that the results are exact without receiving any higher-order corrections.
We define $\mathcal N=2$ supersymmetric and gauge-invariant path integral measure in $D=4$, $\mathcal N=2$ SQCD in terms of $\mathcal N=1$ superfields. As a further consequence, we derive the $\mathcal N=2$ version of the chiral anomaly in an $\mathcal{N}=2$ supersymmetry-preserving manner.
A direct anomaly calculation method for general supersymmetric models by path integral measure in superspace is established. It includes the traditional Konishi anomaly as a specific case. As another example, superconformal anomaly in $\mathcal N = 1, D = 4$ conformal supergravity is calculated.
Einstein-frame supergravity is accompanied by quantum correction terms because of super-Weyl transformation. The correction term consists of the field strength terms that respectively originate from gauge, gravitational, and Kähler anomalies. In this paper, it is shown how the full-kind one-loop Jacobian correction term is calculated and represented in $\mathcal{N} = 1, D = 4$ superspace formalism.