"A Magic Pyramid of Supergravities," by Leo Hughes (Imperial College)

Tuesday, September 16, 2014 - 4:00pm to 5:00pm
TEP Seminars

TEP Seminar

Tuesday, September 16
Physics & Astronomy Building (PAB) Room 4-708

Guest Speaker:  Leo Hughes (Imperial College) 

Talk Title: "A Magic Pyramid of Supergravities"


There are four normed division algebras: the real numbers, the complex numbers, the quaternions and the octonions. The division algebras provide a natural framework for describing super Yang-Mills theories in 3, 4, 6 and 10 spacetime dimensions D. Using the idea of 'gravity as the square of gauge theory' I will demonstrate that by 'squaring' D=3 super Yang-Mills theories written over the division algebras we obtain supergravity theories whose global symmetry groups fill out a beautiful set of Lie algebras known to mathematicians as the 'magic square'. Squaring D=4,6,10 theories uncovers a new structure: a magic pyramid of supergravity theories whose base is the magic square.