Weaving the exotic web

Abstract

String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities. *

Exotic branes from del Pezzo surfaces

“…, 5}, which give five corresponding (non-)geometric backgrounds [2 0 ], [5 0 ], [6 1 ], [5 3 ], and [2 6 ]. This reproduces the standard M2 and M5 branes, the KK6, and the two known 1-exotic brane backgrounds [16,18].…”

“…Their existence has already been argued for -they correspond to the 1-exotic branes completing the T-duality orbit [9,19]. The non-geometric backgrounds found at order α = 3, 4, 5 capture all 1-exotic branes known in the literature [16,18]. The 0-exotic codimension-0 object [9 0…”

A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry

“…They are present in abundance in the E 11 approach [8] as brane charges [9,10]. This also indicates that, string-theoretically, low codimension branes (such as exotic, solitonic branes, domain walls and spacetime filling ones) couple electrically to mixed symmetry tensor fields [11][12][13][14][15][16][17][18][19], which can be exotic electromagnetic duals of the graviton or the Kalb-Ramond field. As such they are generalizations of magnetic monopoles both in higher dimensions and for (linearized) gravity.…”

A Kaluza–Klein Approach to Double and Exceptional Field Theory

“…This leads to M‐theory generalisations of the exotic fluxes described for DFT and the appropriate exotic brane solutions that act as their source. This is reported in depth in [] where a huge spectrum of solutions have been constructed using EFT.…”