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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Informal HEP Journal club: U-geometry : SL(5)

Presented by Yoonji Suh, Centre for Quantum Spacetime, Sogang University, Seoul

15 August 2013 16:00 in CM105

Recently Berman and Perry constructed a four-dimensional
M-theory effective action which manifests SL(5) U-duality. Here we propose
an underlying differential geometry of it, under the name `SL(5)
U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5)
compatible manner. We introduce a `semi-covariant' derivative that can be
converted into fully covariant derivatives after anti-symmetrizing or
contracting the SL(5) vector indices appropriately. We also derive fully
covariant scalar and Ricci-like curvatures which constitute the effective action as well as the equation of motion.

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