Group Reduction of Heterotic Supergravity

Abstract

The reduction of ten-dimensional heterotic supergravity with Yang-Mills symmetry group K is performed on an arbitrary n-dimensional group manifold G. The reduction involves a nonvanishing 3-form flux, and the Lie algebra of G must have traceless structure constants to ensure the consistency of the reduction at the level of the action. A large class of gauged supergravities in d=10-n with (non)compact gaugings is obtained. The resulting models describe half-maximal gauged supergravities coupled to $(n+\dim K)$ vector multiplets. We uncover their hidden $SO(n,n+\dim K)$ duality symmetry, and the $SO(n,n+\dim K)/SO(n)\times SO(n+\dim K)$ coset structure that governs the couplings of the scalar fields. We find that the local gauge symmetry of the d-dimensional theory is $K\times G⋉R^n$. Differences from the existing gauged supergravities are highlighted. The consistent truncation to pure half-maximal gauged supergravity in any dimension is shown, and the obstacle to performing a chiral truncation of the theory in d=6 dimensions is found. Among the results obtained are the complete diagonalisation of the fermionic kinetic terms, and other reduction formulae that are applicable to group reductions of supergravities in arbitrary dimensions.

29 pages

References in corpus (17)

• Noncompact Symmetries in String Theory
• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• Gauged N=4 supergravities
• 3-Branes and Uniqueness of the Salam-Sezgin Vacuum
• Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String Theory
• N=8 matter coupled AdS_3 supergravities
• A String and M-theory Origin for the Salam-Sezgin Model
• Consistent Group and Coset Reductions of the Bosonic String
• Matter Coupled F(4) Gauged Supergravity Lagrangian
• The Bianchi Classification of Maximal D=8 Gauged Supergravities
• General Matter Coupled N=4 Gauged Supergravity in Five Dimensions
• Gauged Supergravity from Dimensional Reduction
• Nonsingular 4d-flat branes in six-dimensional supergravities
• D=7 SU(2) Gauged Supergravity From D=10 Supergravity
• Hybrid brane worlds in the Salam-Sezgin model
• Noncompact gaugings, chiral reduction and dual sigma models in supergravity
• Group Manifold Reduction of Dual N=1 d=10 Supergravity

Cited by in corpus (5)

• Double Field Theory Formulation of Heterotic Strings
• Heterotic Effective Action and Duality Symmetries Revisited
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• Rounding out the story of higher derivative consistent truncations
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity