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 and their bound states, in ten- and eleven-dimensional supergravity may all be extracted from this single solution of Exceptional Field Theory. The solution’s properties such as its asymptotic behavior at the core and at infinity are investigated.
Highlights
Low energy effective description of the N = 2 super Yang-Mills theory is explained by the realization that these theories can be described as coming from the dimensional reduction of a single theory, with (0, 2) supersymmetry in six dimensions [1,2,3]
Exceptional Field Theory [5,6,7,8] was developed as a theory to make manifest the Uduality groups of M-theory
The primary idea behind Exceptional Field Theory [5] is to make the exceptional symmetries of eleven-dimensional supergravity manifest
Summary
The primary idea behind Exceptional Field Theory [5] is to make the exceptional symmetries of eleven-dimensional supergravity manifest. One supplements the D so called “internal” directions with additional coordinates to linearly realize the exceptional symmetries This follows the previous works on truncated theories that realize the exceptional duality groups [21,22,23,24,25,26] through introducing novel extra dimensions and leads to. Where dim ED is the dimension of the fundamental representation of the exceptional group ED and M dim ED is a coset manifold that comes equipped with the coset metric of ED/H (where H is the maximally compact subgroup of ED) This “exceptional extended geometry” has been constructed for several U-duality groups but was previously restricted to truncations of the eleven-dimensional theory where the “external” metric was taken to be flat and off-diagonal terms (the “gravi-photon”) were set to zero. It is expected that the narrative of this paper could be repeated for other choices of duality group
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