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2018

Duality Constraints on Counterterms in $\mathcal N=5,\ 6$ Supergravities

Freedman, Daniel Z., Kallosh, Renata, Yamada, Yusuke

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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.

Duality Constraints on Counterterms in $\mathcal N=5,\ 6$ Supergravities · Around

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