Gravity as the square of Yang-Mills?

L. Borsten; M. J. Duff

doi:10.1088/0031-8949/90/10/108012

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arXiv · 1602.08267

Gravity as the square of Yang-Mills?

L. Borsten·M. J. Duff

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Abstract

In these lectures we review how the symmetries of gravitational theories may be regarded as originating from those of "Yang-Mills squared". We begin by motivating the idea that certain aspects of gravitational theories can be captured by the product, in some sense, of two distinct Yang-Mills theories, particularly in the context of scattering amplitudes. We then introduce a concrete dictionary for the covariant fields of (super)gravity in terms of the product of two (super) Yang-Mills theories. The dictionary implies that the symmetries of each (super) Yang-Mills factor generate the symmetries of the corresponding (super)gravity theory: general covariance, $p$-form gauge invariance, local Lorentz invariance, local supersymmetry, R-symmetry and U-duality.

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L. Borsten, M. J. Duff. 2016-10-23. Gravity as the square of Yang-Mills?. https://doi.org/10.1088/0031-8949%2F90%2F10%2F108012

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