Abstract
We investigate the behavior of two-dimensional quantum field theories with supersymmetry under a deformation induced by the “” composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve supersymmetry. As an example of this construction, we work out the deformation of a free theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the supersymmetric deformed action actually possesses symmetry, half of which is nonlinearly realized.
- Received 9 May 2019
DOI:https://doi.org/10.1103/PhysRevD.100.046017
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society