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Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry

by Jose J. Fernandez-Melgarejo, Yuho Sakatani, Shozo Uehara

Submission summary

As Contributors:	Jose J. Fernandez-Melgarejo
Arxiv Link:	https://arxiv.org/abs/1907.07177v2
Date submitted:	2019-10-09
Submitted by:	Fernandez-Melgarejo, Jose J.
Submitted to:	SciPost Physics
Discipline:	Physics
Subject area:	High-Energy Physics - Theory
Approach:	Theoretical

Abstract

Type II string theory or M-theory contains a broad spectrum of gauge potentials. In addition to the standard $p$-form potentials, various mixed-symmetry potentials have been predicted, which may couple to exotic branes with non-standard tensions. Together with $p$-forms, mixed-symmetry potentials turn out to be essential to build the multiplets of the U-duality symmetry in each dimension. In this paper, we systematically determine the set of mixed-symmetry potentials and exotic branes on the basis of the $E_{11}$ conjecture. We also study the decompositions of U-duality multiplets into T-duality multiplets and determine which mixed-symmetry tensors are contained in each of the U-/T-duality multiplets.

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