Exotic potentials and Bianchi identities in SL(5) exceptional field theory

Abstract

Tensor hierarchy of Exceptional Field Theories contains gauge fields satisfying certain Bianchi identities. We define the full set of fluxes of the SL(5) exceptional field theory containing known gauge field strengths, generalized anholonomy coefficients and two new fluxes. It is shown that the full SL(5) ExFT Lagrangian can be written in terms of the listed fluxes. We derive the complete set of Bianchi identities and identify magnetic potentials of the theory and the corresponding (wrapped) membranes of M-theory.

References in corpus (11)

• Generalized Geometry and M theory
• Lectures on Gauged Supergravity and Flux Compactifications
• The maximal D=4 supergravities
• Exceptional field theory: $SO(5,5)$
• String Solitons and T-duality
• D-Brane Wess-Zumino Terms and U-Duality
• $P$ fluxes and exotic branes
• Gauged Supergravities in Various Spacetime Dimensions
• Polyvector deformations in eleven-dimensional supergravity
• Generalizing eleven-dimensional supergravity
• Generalized 11D supergravity equations from tri-vector deformations

Cited by in corpus (3)

• Infinite and finite consistent truncations on deformed generalised parallelisations
• Polyvector deformations of Type IIB backgrounds
• Tri-vector deformations with external fluxes