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U-duality covariant membranes

Viktor Bengtsson·Martin Cederwall·Henric Larsson·Bengt E. W. Nilsson
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Abstract

We outline a formulation of membrane dynamics in D=8 which is fully covariant under the U-duality group SL(2,Z) x SL(3,Z), and encodes all interactions to fields in the eight-dimensional supergravity, which is constructed through Kaluza-Klein reduction on T^3. Among the membrane degrees of freedom is an SL(2,R) doublet of world-volume 2-form potentials, whose quantised electric fluxes determine the membrane charges, and are conjectured to provide an interpretation of the variables occurring in the minimal representation of E_{6(6)} which appears in the context of automorphic membranes. We solve the relevant equations for the action for a restricted class of supergravity backgrounds. Some comments are made on supersymmetry and lower dimensions.

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Viktor Bengtsson, Martin Cederwall, Henric Larsson, Bengt E. W. Nilsson. 2005-01-25. U-duality covariant membranes. https://doi.org/10.1088/1126-6708%2F2005%2F02%2F020

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