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We construct maximal supergravity in four dimensions with local scaling symmetry as deformation of the original Cremmer-Julia theory.
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B. de Wit, H. Samtleben, and M. Trigiante, On Lagrangians and gaugings of maximal supergravities, Nucl. Phys. B655 (2003) 93–126, [ hep-th/0212239
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B. de Wit, H. Nicolai, and H. Samtleben, Gauged supergravities, tensor hierarchies, and M-theory, JHEP 02 (2008) 044, [ 0801.1294
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Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban, The ultraviolet behavior of 𝑵 = 𝟖 {N}=8 supergravity at four loops, Phys. Rev. Lett. 103 (2009) 081301, [ 0905.2326
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R. Kallosh and T. Kugo, The footprint of 𝑬 𝟕 ( 𝟕 ) {E}_{7(7)} in amplitudes of 𝑵 = 𝟖 {N}=8 supergravity, JHEP 01 (2009) 072, [ 0811.3414
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A. Le Diffon and H. Samtleben, Supergravities without an action: Gauging the trombone, Nucl. Phys. B811 (2009) 1–35, [ 0809.5180
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N. Arkani-Hamed, F. Cachazo, and J. Kaplan, What is the simplest quantum field theory?, JHEP 09 (2010) 016, [ 0808.1446
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J. Kerimo, J. T. Liu, H. Lu, and C. N. Pope, Variant 𝑵 = ( 𝟏 , 𝟏 ) {N}=(1,1) supergravity and (Minkowski) 𝟒 × 𝑺 𝟐 {}_{4}\times S^{2} vacua, Class. Quant. Grav. 21 (2004) 3287–3300, [ hep-th/0401001
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B. de Wit and H. Samtleben, Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems, Fortschr. Phys. 53 (2005) 442–449, [ hep-th/0501243
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B. de Wit, H. Samtleben, and M. Trigiante, Magnetic charges in local field theory, JHEP 09 (2005) 016, [ hep-th/0507289
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J. Broedel and L. J. Dixon, 𝑹 𝟒 {R}^{4} counterterm and 𝑬 𝟕 ( 𝟕 ) {E}_{7(7)} symmetry in maximal supergravity, JHEP 05 (2010) 003, [ 0911.5704
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H. Elvang and M. Kiermaier, Stringy KLT relations, global symmetries, and 𝑬 𝟕 ( 𝟕 ) {E}_{7(7)} violation, JHEP 10 (2010) 108, [ 1007.4813
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G. Bossard, C. Hillmann, and H. Nicolai, 𝑬 𝟕 ( 𝟕 ) {E}_{7(7)} symmetry in perturbatively quantised 𝑵 = 𝟖 {N}=8 supergravity, JHEP 12 (2010) 052, [ 1007.5472
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N. Beisert et. al., 𝑬 𝟕 ( 𝟕 ) {E}_{7(7)} constraints on counterterms in 𝑵 = 𝟖 {N}=8 supergravity, Phys. Lett. B694 (2010) 265–271, [ 1009.1643
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F. Riccioni, Local 𝑬 𝟏𝟏 {E}_{11} and the gauging of the trombone symmetry, Class. Quant. Grav. 27 (2010) 125009, [ 1001.1316
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PhD thesis, École Normale Supérieure de Lyon, 2010
A. Le Diffon, Supergravités jaugées et symétrie locale d’échelle · 2010
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S. Ferrara and M. Günaydin, Orbits of exceptional groups, duality and BPS states in string theory, Int.J.Mod.Phys. A13 (1998) 2075–2088, [ hep-th/9708025
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