New E7(7) invariants and amplitudes

被引：0
作者：
Renata Kallosh
Tomás Ortın
机构：
[1] Stanford University,Stanford Institute for Theoretical Physics and Department of Physics
[2] Instituto de F´ısica Teórica UAM/CSIC,undefined
来源：
Journal of High Energy Physics | / 2012卷
关键词：
Models of Quantum Gravity; Supergravity Models; String Duality;
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摘要：
We construct a new class of manifest E7(7) duality invariants, which generalize the Cartan quartic invariant, familiar from studies of the black hole entropy. The new ones, being four-linear, are designed for studies of the four-vector amplitudes and to be used, upon supersymmetrization, as initial sources of deformation for the non-linear higher-derivative generalizations of the linear twisted self-duality condition. We show, however, that the new invariants are inconsistent with the expected UV divergent amplitudes in extended supergravities with non-degenerate duality groups of type E7. When E7(7) degenerates into U(1) the new invariants reproduce the recently discovered source of deformation for the Born-Infeld duality invariant model with higher derivatives relevant to UV divergences of the D3 brane action. These facts may explain the UV properties of perturbative supergravity.
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