Deformation of \(d = 4\), \(\mathcal{N} \geq 5\) supergravities breaks nonlinear local supersymmetry. (English) Zbl 07716862
Summary: We study \(d = 4\), \(\mathcal{N} \geq 5\) supergravities and their deformation via candidate counterterms, with the purpose to absorb UV divergences. We generalize the earlier studies of deformation and twisted self-duality constraint to the case with unbroken local \(\mathcal{H}\)-symmetry in presence of fermions. We find that the deformed action breaks nonlinear local supersymmetry. We show that all known cases of enhanced UV divergence cancellations are explained by nonlinear local supersymmetry.
This result implies, in particular, that if \(\mathcal{N} = 5\) supergravity at five loop will turn out to be UV divergent, the deformed theory will be BRST inconsistent. If it will be finite, it will be a consequence of nonlinear local supersymmetry and E7-type duality.
This result implies, in particular, that if \(\mathcal{N} = 5\) supergravity at five loop will turn out to be UV divergent, the deformed theory will be BRST inconsistent. If it will be finite, it will be a consequence of nonlinear local supersymmetry and E7-type duality.
MSC:
| 83E50 | Supergravity |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 83C45 | Quantization of the gravitational field |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T50 | Anomalies in quantum field theory |
Keywords:
supergravity models; supersymmetry and duality; anomalies in field and string theories; scattering amplitudesReferences:
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