2006/04/13 by Louis Paulot, Paulot, Louis · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0604098
34 pages
arxiv created 2006/04/13 · openalex publication_date 2006/04/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E9 which has a simpler action when the bosonic fields are dualised to an infinite tower of dual potentials. We construct a doubled-valued representation of its compact subgroup K x K(E9) and we show that off-shell fermions take place in this infinite-dimensional representation. The equations of motion can be written in a fully gauge-covariant way as a selfduality condition for the infinite-dimensional fields. The W x E9 global symmetry is thus manifest. The linear system associated to the theory is recovered in a triangular gauge. Finally we provide supersymmetry transformations for off-shell fields.