New E77 invariants and amplitudes

Abstract

We construct a new class of manifest E77 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 E77 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.

One reference added and one sentence slightly modified. Results and conclusions unchanged, Latex2e file, 39 pages, no figures

References in corpus (14)

• Three-Loop Superfiniteness of N=8 Supergravity
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• E7(7) constraints on counterterms in N=8 supergravity
• Black Holes, Qubits and Octonions
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• E_7 and the tripartite entanglement of seven qubits
• Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes
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• N=8 Supergravity 4-point Amplitudes
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• The D^{2k} R^4 Invariants of N=8 Supergravity

Cited by in corpus (20)

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• Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity
• Freudenthal Dual Lagrangians
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• N=2 SUGRA BPS Multi-center solutions, quadratic prepotentials and Freudenthal transformations
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Nonlinear (Super)Symmetries and Amplitudes
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• The Action with Manifest E7 Type Symmetry
• N=2 Supergravity Counterterms, Off and On Shell
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• An Update on Perturbative N=8 Supergravity
• Notophs of N = 8 supergravity
• Obstruction to E_{7(7)} Deformation in N=8 Supergravity
• The supersymmetric black holes of N=8 supergravity
• On section conditions of E7(7) exceptional field theory and superparticle in N=8 central charge superspace
• On quantum compatibility of counterterm deformations and duality symmetries in $\mathcal{N}\ge 5$ supergravities
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry