Effective action and superconformal anomalies of (p,p) σ models in (1, 1) superspace

Lenin Komsomol State Pedagogical Institute, Tomsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 82, No. 1, pp. 75–82, January, 1990.     

Relating the Komargodski–Seiberg and Akulov–Volkov actions: Exact nonlinear field redefinition

This Letter constructs an exact field redefinition that maps the Akulov–Volkov action to that recently studied by Komargodski and Seiberg in [Z. Komargodski, N. Seiberg, JHEP 0909 (2009) 066, arXiv:0907.2441]. This is then used to study the off-shell supersymmetry properties of the Komargodski–Seiberg action. It is also shown that the approach advocated in [A.A. Zheltukhin, Phys. Rev. D 82 (2010) 085005, arXiv:1003.4143v2] and [A.A. Zheltukhin, On equivalence of the Komargodski–Seiberg action to the Volkov–Akulov action, arXiv:1009.2166] for deriving such a field redefinition is inconsistent.     

Quantum Superconformal Symmetry in N = 2 Harmonic Superspace

In gauge theories, not all rigid symmetries of the classical action can be maintained manifestly in the quantization procedure, even in the absence of anomalies. If this occurs for an anomaly-free symmetry, the effective action is invariant under a transformation that differs from its classical counterpart by quantum corrections. In this note, we set up a harmonic superspace formalism for computing quantum deformations of superconformal symmetry in the N = 4 supersymmetric Yang–Mills theory.     

Higher derivative couplings in supergravity

We review the construction of the N = 2 supersymmetric completion of a scalar curvature squared term given in [1] both in superspace and components in a completely gauge independent form.