4D supersymmetric gauge theories of spacetime translations
arXiv:2208.02773 · doi:10.1007/JHEP10(2022)021
Abstract
The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose commutators contain infinitesimal local spacetime translations. It is shown that, up to local field redefinitions, there is a unique class of such supersymmetric field theories satisfying specified prerequisites which particularly concern the field content of the theories. The theories of this class have global supersymmetry and are similar to globally supersymmetric Yang-Mills theories.
32 pages; v2: corrected typos, improvements of text; v3: 33 pages, matches published version; v4: 36 pages, takes account of erratum and addendum to published version, changes particularly at end of section 3 and of abstract and conclusion, new section 5; v5: corrected text in last paragraph of section 2, added remark at end of section 4.1, some superfluous text removed