Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond

Abstract

In recent years, it has been widely argued that the duality transformations of string and M-theory naturally imply the existence of so-called `exotic branes'---low codimension objects with highly non-perturbative tensions, scaling as $g_s^{\alpha }$ for $\alpha \le -3$. We argue that their intimate link with these duality transformations make them an ideal object of study using the general framework of Double Field Theory (DFT) and Exceptional Field Theory (EFT)---collectively referred to as ExFT. Parallel to the theme of dualities, we also stress that these theories unify known solutions in string- and M-theory into a single solution under ExFT. We argue that not only is there a natural unifying description of the lowest codimension objects, many of these exotic states require this formalism as a consistent supergravity description does not exist.

arXiv comment73 pages Latex, v2: citations added, some orbits corrected

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Cited by in corpus (18)

• 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
• Non-Riemannian geometry of M-theory
• A master exceptional field theory
• E${}_9$ exceptional field theory II. The complete dynamics
• Looking for structure in the cobordism conjecture
• Fluxes in Exceptional Field Theory and Threebrane Sigma-Models
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• 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
• Reductions of Exceptional Field Theories
• World-volume Effective Theories of Locally Non-geometric Branes
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Exotic Branes from del Pezzo Surfaces
• Brane bound states, deformations and OM
• Localized Kaluza-Klein 6-brane