Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space
Abstract
We find the conserved currents of any spin t > 0 constructed from massless gauge fields of any integer spin s ≥ t in four-dimensional Minkowski space. In particular, we construct the stress-energy tensor for a field of any higher spin. Analogously to the spin-two stress (pseudo)tensor, the currents we consider are not gauge invariant, but we show that they generate gauge-invariant charges. In addition to the expected even-parity higher-spin currents, we find unexpected odd-parity currents that generate fewer symmetries than the even currents. We argue that these odd currents most likely do not admit a consistent AdS deformation.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- December 2014
- DOI:
- 10.1007/s11232-014-0231-5
- Bibcode:
- 2014TMP...181.1509V
- Keywords:
-
- higher-spin theory;
- conservation law