Absence of U(1) anomalous superamplitudes in N ≥ 5 supergravities

We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N ≥ 5 supergravities. The relevant chiral superinvariants are constructed from linearized chiral superfields and define the corresponding superamplitudes. The anomalous amplitude...

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Bibliographic Details
Main Authors: Kallosh, Renata, Murli, Divyanshu, Van Proeyen, Antoine, Yamada, Yusuke, Freedman, Daniel Z
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Springer Nature 2018
Online Access:http://hdl.handle.net/1721.1/116554
https://orcid.org/0000-0001-8408-1941
Description
Summary:We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in N ≥ 5 supergravities. The relevant chiral superinvariants are constructed from linearized chiral superfields and define the corresponding superamplitudes. The anomalous amplitudes, of the kind present in N = 4, are shown to be absent in N ≥ 5. In N = 6 supergravity the result is deduced from the double-copy (N = 4) Y M × (N = 2) Y M model, whereas in N = 5, 8 the result on absence of anomalous amplitudes is derived in supergravities as well as in the (N = 4) Y M × (N − 4) Y M double-copy models.