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.
Highlights
Introduction and summary1.1 Background The ten-dimensional type II superstring theories contain a rich variety of extended objects such as the D-branes and the NS5-brane
We firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions
We find a relation between the non-geometric fluxes and the mixed-symmetry potentials obtained from the E11 decomposition and the wrapping rules
Summary
1.1 Background The ten-dimensional type II superstring theories contain a rich variety of extended objects such as the D-branes and the NS5-brane. The so-called wrapping rules were formulated [11, 17, 31,32,33] This set of rules allows one to construct a set of mixed-symmetry potentials, depending on the type of T and S-duality transformations that one performs. A dictionary between the fluxes associated to these deformed supergravities and the embedding tensor is estimated It is the purpose of this paper to establish a systematic way of studying the exotic branes and their expected-to-be one-to-one related objects. After fully determining the web of branes, we find a systematic way to generate the exotic-brane backgrounds as solutions of duality-symmetric theories, namely DFT or EFT. A relation between the domain-wall solutions and deformed supergravities has been suggested in [14]
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