Exceptional field theory: $SL(5)$

Abstract

In this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of $D=7$ maximal supergravity. In the formalism presented the hidden global duality group is promoted into a gauge group of a theory in dimensions 7+number of extended directions. This work is a continuation of the series of works for $E_{8,7,6},SO(5,5)$ and $SL(3)\times SL(2)$ duality groups.

20 pages + Appendix; ver 2: misprints corrected, some citations added, the email on the title page corrected

References in corpus (30)

• Double Field Theory
• Generalised Geometry for M-Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• Exceptional Field Theory III: E${}_{8(8)}$
• The maximal D=4 supergravities
• Consistent Kaluza-Klein Truncations via Exceptional Field Theory
• Gauged Double Field Theory
• Duality orbits of non-geometric fluxes
• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Supersymmetric E${}_{7(7)}$ Exceptional Field Theory
• Exceptional field theory: $SO(5,5)$
• Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory
• Double Field Theory on Group Manifolds
• Fermions and Supersymmetry in ${\mathrm{E}}_{6(6)}$ Exceptional Field Theory
• Generalized Metric Formulation of Double Field Theory on Group Manifolds
• Strings and Branes are Waves
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Consistent Pauli reduction on group manifolds
• T-duality and non-geometric solutions from double geometry
• E${}_{6(6)}$ Exceptional Field Theory: Review and Embedding of Type IIB
• Dualising consistent IIA / IIB truncations
• Relating Double Field Theory to the Scalar Potential of N=2 Gauged Supergravity
• Superstring in doubled superspace
• Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications
• Exceptional geometry and Borcherds superalgebras
• Gaugings from E7 Extended Geometries
• Finite Transformations in Doubled and Exceptional Space
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Exceptional Field Theory for $E_{6(6)}$ supergravity

Cited by in corpus (66)

• Half-maximal supersymmetry from exceptional field theory
• The exceptional story of massive IIA supergravity
• An Action for F-theory: $\mathrm{SL}(2)\times {\mathbb{R}}^{+}$ Exceptional Field Theory
• Systematics of consistent truncations from generalised geometry
• Generalized gravity from modified DFT
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their minimal consistent truncations from exceptional field theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• A non-relativistic limit of M-theory and 11-dimensional membrane Newton-Cartan geometry
• Beyond E11
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Non-Riemannian geometry of M-theory
• A master exceptional field theory
• E${}_9$ exceptional field theory II. The complete dynamics
• Dualising consistent IIA / IIB truncations
• E${}_{8(8)}$ Exceptional Field Theory: Geometry, Fermions and Supersymmetry
• On supersymmetric E11 exceptional field theory
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• Tri-vector deformations in $d=11$ supergravity
• The Exceptional Sigma Model
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• Weaving the Exotic Web
• Non-abelian tri-vector deformations in d=11 supergravity
• O(d+1,d+1) enhanced double field theory
• Leibniz Gauge Theories and Infinity Structures
• Superstring in doubled superspace
• Polyvector deformations in eleven-dimensional supergravity
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Leibniz-Chern-Simons Theory and Phases of Exceptional Field Theory
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• From Exceptional Field Theory to Heterotic Double Field Theory via K3
• Generalized Parallelizable Spaces from Exceptional Field Theory
• $L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity
• On non-abelian U-duality of 11D backgrounds
• Exceptional M-brane sigma models and $\eta$-symbols
• Particle actions and brane tensions from double and exceptional geometry
• Type II strings are Exceptional
• Infinity-enhancing of Leibniz algebras
• Open exceptional strings and D-branes
• O-folds: Orientifolds and Orbifolds in Exceptional Field Theory
• New N=1 AdS${}_4$ solutions of type IIB supergravity
• Generalizing eleven-dimensional supergravity
• Finite Transformations in Doubled and Exceptional Space
• Maximal D=2 supergravities from higher dimensions
• A geometric formulation of exceptional field theory
• Generalized 11D supergravity equations from tri-vector deformations
• A Kaluza-Klein Approach to Double and Exceptional Field Theory
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• Tri-vector deformations on compact isometries
• Extended geometry of magical supergravities
• Perturbative F-theory 10-brane and M-theory 5-brane
• Five-brane Current Algebras in Type II String Theories
• Finite Gauge Transformations and Geometry in Extended Field Theory
• Uplifts of maximal supergravities and transitions to non-geometric vacua
• Geometry of ${\mathbb{R}}^{+}\times E_{3(3)}$ Exceptional Field Theory and F-theory
• Exotic Brane Junctions from F-theory
• On 10 dimensional Exceptional Drinfel'd Algebras
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory
• SUSY and tri-vector deformations
• Tri-vector deformations with external fluxes
• Reductions of Exceptional Field Theories
• Duality Covariant Solutions in Extended Field Theories
• The many facets of exceptional field theory
• Exotic Aspects of Extended Field Theories
• The canonical formulation of E${}_{6(6)}$ exceptional field theory
• Localized Kaluza-Klein 6-brane