E7(7) constraints on counterterms in N=8 supergravity

By N. Beisert, Henriette Elvang, D. Freedman, Michael Kiermaier, A. Morales, S. Stieberger. 2010

162 citations recorded by the source corpus.

Abstract We prove by explicit computation that 6-point matrix elements of D 4 R 4 and D 6 R 4 in N = 8 supergravity have non-vanishing single-soft scalar limits, and therefore these operators violate the continuous E 7 ( 7 ) symmetry. The soft limits precisely match automorphism constraints. Together with previous results for R 4 , this provides a direct proof that no E 7 ( 7 ) -invariant candidate counterterm exists below 7-loop order. At 7-loops, we characterize the infinite tower of independent supersymmetric operators D 4 R 6 , R 8 , φ 2 R 8 , … with n > 4 fields and prove that they all violate E 7 ( 7 ) symmetry. This means that the 4-graviton amplitude determines whether or not the theory is finite at 7-loop order. We show that the corresponding candidate counterterm D 8 R 4 has a non-linear supersymmetrization such that its single- and double-soft scalar limits are compatible with E 7 ( 7 ) up to and including 6-points. At loop orders 7 , 8 , 9 we provide an exhaustive account of all independent candidate counterterms with up to 16 , 14 , 12 fields, respectively, together with their potential single-soft scalar limits.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c0bb832d8e8c7f8841be298c8a21512a55bee81c

Citations in the corpus

• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure (2011, unknown): “–expansions have been analyzed up to N ≤ 6 through the order α′8 in ref. [34]. These findings proved to be crucial in constraining possible counterterms in N = 8 supergravity in D= 4 up to seven loops [41]. Counterterms invariant under N = 8 supergravity have an unique kinematic structure and the tre”