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Absence of D 4 R 4 in M-theory from ABJM
oleh: Damon J. Binder, Shai M. Chester, Silviu S. Pufu
Format: | Article |
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Diterbitkan: | SpringerOpen 2020-04-01 |
Deskripsi
Abstract Supersymmetry allows a D 4 R 4 interaction in M-theory, but such an interaction is inconsistent with string theory dualities and so is known to be absent. We provide a novel proof of the absence of the D 4 R 4 M-theory interaction by calculating 4-point scattering amplitudes of 11d supergravitons from ABJM theory. This calculation extends a previous calculation performed to the order corresponding to the R 4 interaction. The new ingre- dient in this extension is the interpretation of the fourth derivative of the mass deformed S 3 partition function of ABJM theory, which can be determined using supersymmetric localization, as a constraint on the Mellin amplitude associated with the stress tensor mul- tiplet 4-point function. As part of this computation, we relate the 4-point function of the superconformal primary of the stress tensor multiplet of any 3d N $$ \mathcal{N} $$ = 8 SCFT to some of the 4-point functions of its superconformal descendants. We also provide a concise formula for a general integrated 4-point function on S d for any d.