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.

72 pages + 28 pages of appendices; v2: typos corrected, references added, a Mathematica notebook added (which generates Tables in Appendix C); v3: typos corrected, references added, JHEP published version

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Cited by in corpus (21)

• The Geometry, Branes and Applications of Exceptional Field Theory
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• E${}_9$ exceptional field theory I. The potential
• A master exceptional field theory
• Non-Riemannian geometry of M-theory
• Weyl invariance of string theories in generalized supergravity backgrounds
• E${}_9$ exceptional field theory II. The complete dynamics
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• A unified approach to standard and exotic dualizations through graded geometry
• Higher spins from exotic dualisations
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• The different faces of branes in Double Field Theory
• Five-brane Current Algebras in Type II String Theories
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• World-volume Effective Theories of Locally Non-geometric Branes
• Exotic Branes from del Pezzo Surfaces
• Reductions of Exceptional Field Theories
• Duality rules for more mixed-symmetry potentials
• Exotic Aspects of Extended Field Theories