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Gauged Supergravity and the Tensor Hierarchy Algebra
October 27, 20142:00 pm – 3:00 pm (CDT)

Gauged Supergravity and the Tensor Hierarchy Algebra


Jakob Palmkvist (Texas A&M University)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

Gauge deformations of maximal supergravity in D dimensions lead to gauged supergravity theories, which can have their origins in string or M-theory beyond the supergravity limit. All possible deformations can be encoded by an object called the embedding tensor, which gives rise to a tensor hierarchy of gauge parameters, potentials, and field strengths. Dr. Palmkvist will show that the relations between these tensors can be derived from a new compact formulation in terms of a Lie superalgebra, which is an infinite-dimensional extension of the U-duality Lie algebra **E(11–D)**. In a level decomposition of this Lie superalgebra, the tensor hierarchy corresponds to the positive levels, **E(11–D)** to level zero, and the embedding tensor to level minus one.

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