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Duality Constraints on Counterterms in $\mathcal N=5,\ 6$ Supergravities
- Source :
- Fortschr. Phys. 2018, 1800054
- Publication Year :
- 2018
-
Abstract
- The UV finiteness found in calculations of the 4-point amplitude in $\mathcal N=5$ supergravity at loop order $L=3, 4$ has not been explained, which motivates our study of the relevant superspace invariants and on-shell superamplitudes for both $\mathcal N=5$ and $\mathcal N=6$. The local 4-point superinvariants for $L = 3,4$ are expected to have nonlinear completions whose 6-point amplitudes have non-vanishing SSL's (soft scalar limits), violating the behavior required of Goldstone bosons. For $\mathcal N=5$, we find at $L=3$ that local 6-point superinvariant and superamplitudes, which might cancel these SSL's, do not exist. This rules out the candidate 4-point counterterm and thus gives a plausible explanation of the observed $L=3$ finiteness. However, at $L= 4$ we construct a local 6-point superinvariant with non-vanishing SSL's, so the SSL argument does not explain the observed $L=4$ $\mathcal N=5$ UV finiteness. For $\mathcal N=6$ supergravity there are no 6-point invariants at either $L= 3$ or 4, so the SSL argument predicts UV finiteness.<br />Comment: 28 pages, v2: references added, v3: typos corrected
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Fortschr. Phys. 2018, 1800054
- Publication Type :
- Report
- Accession number :
- edsarx.1807.06704
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1002/prop.201800054