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Yang-Mills Origin of Gravitational Symmetries
November 24, 20142:00 pm – 3:00 pm (CDT)

Yang-Mills Origin of Gravitational Symmetries


Michael Duff (Imperial College London)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

By regarding gravity as the convolution of left and right Yang-Mills theories, we derive in linearised approximation the gravitational symmetries of general covariance, p-form gauge invariance, local Lorentz invariance and local supersymmetry from the flat space Yang-Mills symmetries of local gauge invariance and global super-Poincare. Turning to global symmetries we give a division algebra **R,C,H,O** description of Yang-Mills with **N(L/R) = 1,2,4,8** and hence, by tensoring left and right multiplets, a Freudenthal magic square **RR, CR, CC, HR, HC, HH, OR, OC, OH, OO** description of **N=N(L)+N(R)** supergravity.

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