A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
and Rudolph, Felix J
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abstract
It has been shown that membranes and fivebranes are wave-like or monopole-like solutions in some higher dimensional theory. Here the picture is completed by combining the wave and monopole solutions into a single solution of Exceptional Field Theory. This solution solves the twisted self-duality constraint. The 1/2 BPS brane spectrum, consisting of fundamental, solitonic and Dirichlet branes, in ten- and eleven-dimensional supergravity may all be extracted from this single solution of Exceptional Field Theory. The solution's properties such as the singularity structure and its asymptotic behaviour near the core and at infinity are investigated.
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The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.
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Duality-covariant particles and exotic branes
A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
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A Physicist's Visit to Exotic Spheres
The thesis derives an analytic family of Riemannian metrics on the Gromoll-Meyer exotic 7-sphere via Kaluza-Klein reduction, identifies the maximal-isometry case, and introduces a machine-learning algorithm for finding Einstein metrics on general manifolds.