Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields

Abstract

In U-duality-manifest formulations, supergravity fields are packaged into covariant objects such as the generalized metric and $p$-form fields ${\mathcal{A}}_p^{I_p}$. While a parameterization of the generalized metric in terms of supergravity fields is known for U-duality groups $E_n$ with $n\le 8$, a parameterization of ${\mathcal{A}}_p^{I_p}$ has not been fully determined. In this paper, we propose a systematic method to determine the parameterization of ${\mathcal{A}}_p^{I_p}$, which necessarily involves mixed-symmetry potentials. We also show how to systematically obtain the T- and S-duality transformation rules of the mixed-symmetry potentials entering the multiplet. As the simplest non-trivial application, we find the parameterization and the duality rules associated with the dual graviton. Additionally, we show that the 1-form field ${\mathcal{A}}_1^{I_1}$ can be regarded as the generalized graviphoton in the exceptional spacetime.

arXiv comment40 pages; v2: references added, typos corrected, to appear in PTEP

References in corpus (40)

• A Geometry for Non-Geometric String Backgrounds
• E_11 and M Theory
• Generalized Geometry and M theory
• Exceptional Form of D=11 Supergravity
• Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB
• The gauge structure of generalised diffeomorphisms
• Exceptional Field Theory III: E${}_{8(8)}$
• $E_{11}$, SL(32) and Central Charges
• Exceptional Field Theory II: E${}_{7(7)}$
• Duality Invariant Actions and Generalised Geometry
• The local symmetries of M-theory and their formulation in generalised geometry
• Generalized E(7(7)) coset dynamics and D=11 supergravity
• The IIA, IIB and eleven dimensional theories and their common E_{11} origin
• Representations of G+++ and the role of space-time
• 5-branes, KK-monopoles and T-duality
• E_{11} origin of Brane charges and U-duality multiplets
• Branes are Waves and Monopoles
• Gauge theory of Kaluza-Klein and winding modes
• E(11)-extended spacetime and gauged supergravities
• E11, generalised space-time and IIA string theory
• Effective actions of non-geometric fivebranes
• Strings and Branes are Waves
• Counting supersymmetric branes
• D-Brane Wess-Zumino Terms and U-Duality
• Branes and wrapping rules
• World-volume Effective Actions of Exotic Five-branes
• Exotic Branes and Nonperturbative Seven Branes
• Brane orbits
• The Massive Kaluza-Klein Monopole
• On supersymmetric E11 exceptional field theory
• The Exceptional Sigma Model
• E8 duality and dual gravity
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Branes, Weights and Central Charges
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• World-volume Effective Action of Exotic Five-brane in M-theory
• Exceptional M-brane sigma models and $\eta$-symbols
• Generalised vielbeins and non-linear realisations
• Type II strings are Exceptional
• The different faces of branes in Double Field Theory

Cited by in corpus (1)

• Born sigma model for branes in exceptional geometry