Abstract
We construct three-dimensional, $\mathcal{N}=1$ off-shell supersymmetric massive Yang-Mills (YM) theory whose YM equation is ``third-way'' consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge-covariant divergence of the YM equation still vanishes on shell. To achieve this, we modify the massive Majorana spinor equation so that its supersymmetry variation gives a modified YM equation whose bosonic part coincides with the third-way consistent pure massive YM model.
Highlights
In the absence of couplings to other fields, tensors that constitute equations of motion of massless spin-1 and spin-2 fields are conserved, when they stem from an action
We construct three-dimensional, N 1⁄4 1 off-shell supersymmetric massive Yang-Mills (YM) theory whose YM equation is “third-way” consistent. This means that the field equations of this model do not come from variation of a local action without additional fields, yet the gauge-covariant divergence of the YM equation still vanishes on shell
Its equations of motion cannot be derived from a local action, with the field content considered in this paper
Summary
In the absence of couplings to other fields, tensors that constitute equations of motion of massless spin-1 and spin-2 fields are conserved (i.e., have vanishing covariant divergence), when they stem from an action. This ensures that they can be consistently coupled to conserved charge/ energy currents. The modified field equation still makes sense, since the covariant divergence of the additional term vanishes if one uses the field equation again Other such 3D gravity models were obtained in [3,4] and third-way consistent 3D massive Yang-Mills (YM) theory [5], and interacting p-form theories in general dimensions [6] have been found as well. We will supersymmetrize the model of [5], by constructing a third-way consistent deformation of the equations of motion of supersymmetric TMYM, such that the resulting bosonic and fermionic equations are mapped
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
