IIB Supergravity and the E6(6) covariant vector-tensor hierarchy

Abstract

IIB supergravity is reformulated with a manifest local USp(8) invariance that makes the embedding of five-dimensional maximal supergravities transparent. In this formulation the ten-dimensional theory exhibits all the 27 one-form fields and 22 of the 27 two-form fields that are required by the vector-tensor hierarchy of the five-dimensional theory. The missing 5 two-form fields must transform in the same representation as a descendant of the ten-dimensional `dual graviton'. The invariant E6(6) symmetric tensor that appears in the vector-tensor hierarchy is reproduced. Generalized vielbeine are derived from the supersymmetry transformations of the vector fields, as well as consistent expressions for the USp(8) covariant fermion fields. Implications are discussed for the consistency of the truncation of IIB supergravity compactified on the five-sphere to maximal gauged supergravity in five space-time dimensions with an SO(6) gauge group.

48 pages, added an extra affiliation

References in corpus (8)

• Double Field Theory
• Generalised Geometry for M-Theory
• 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
• Generalized complex geometry
• Generalized E(7(7)) coset dynamics and D=11 supergravity

Cited by in corpus (27)

• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Consistent Type IIB Reductions to Maximal 5D Supergravity
• Half-maximal supersymmetry from exceptional field theory
• The exceptional story of massive IIA supergravity
• Exceptional generalised geometry for massive IIA and consistent reductions
• Systematics of consistent truncations from generalised geometry
• Generalised Scherk-Schwarz reductions from gauged supergravity
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• A master exceptional field theory
• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
• Hairy Black Holes in AdS${}_5\times S^5$
• 7-dimensional $\mathcal{N}=2$ Consistent Truncations using $\mathrm{SL}(5)$ Exceptional Field Theory
• The complete $D=11$ embedding of SO(8) supergravity
• $\mathcal{N}=2$ Supersymmetric Janus Solutions and Flows: From Gauged Supergravity to M Theory
• The 10d Uplift of the GPPZ Solution
• Brane-jet stability of non-supersymmetric AdS vacua
• Multioscillating black holes
• Democratic actions for type II supergravities
• New phases of $\mathcal{N}=4$ SYM at finite chemical potential
• Super-Chern-Simons spectra from Exceptional Field Theory
• Non-linear uplift Ansätze for the internal metric and the four-form field-strength of maximal supergravity
• Instantons from geodesics in AdS moduli spaces
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• On section conditions of E7(7) exceptional field theory and superparticle in N=8 central charge superspace
• Consistent 4-form fluxes for maximal supergravity
• Effective long distance $q\bar{q}$ potential in holographic RG flows