All Couplings of Minimal Six-dimensional Supergravity

Abstract

We describe the complete coupling of $(1,0)$ six-dimensional supergravity to tensor, vector and hypermultiplets. The generalized Green-Schwarz mechanism implies that the resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops. Consequently, the low-energy theory is determined by the Wess-Zumino consistency conditions, rather than by the requirement of supersymmetry. As already shown for the case without hypermultiplets, this procedure does not fix a quartic coupling for the gauginos. With respect to these previous results, the inclusion of charged hypermultiplets gives additional terms in the supersymmetry anomaly. We also consider the case in which abelian vectors are present. As in the absence of hypermultiplets, abelian vectors allow additional couplings. Finally, we apply the Pasti-Sorokin-Tonin prescription to this model.

26 pages, LaTeX file

References in corpus (2)

• Large N Field Theories, String Theory and Gravity
• Abelian Vectors and Self-Dual Tensors in Six-Dimensional Supergravity

Cited by in corpus (43)

• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• Anomaly Equations and Intersection Theory
• (1,0) superconformal models in six dimensions
• Sharpening the Distance Conjecture in Diverse Dimensions
• Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
• A bound on 6D N=1 supergravities
• Structure in 6D and 4D N=1 supergravity theories from F-theory
• BLG-motivated Lagrangian formulation for the chiral two-form gauge field in D=6 and M5-branes
• Remarks on the Green-Schwarz terms of six-dimensional supergravity theories
• A systematic search for anomaly-free supergravities in six dimensions
• Structure of Six-Dimensional Microstate Geometries
• New superconformal models in six dimensions: Gauge group and representation structure
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Twin Supergravities
• Supersymmetric Vacua in N=2 Supergravity
• Fine Tuning and Six-Dimensional Gauged $N=(1,0)$ Supergravity Vacua
• Classification, geometry and applications of supersymmetric backgrounds
• On the Magical Supergravities in Six Dimensions
• Microstate Geometries from Gauged Supergravity in Three Dimensions
• Anomaly Cancellation in Seven-Dimensional Supergravity with a Boundary
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Omega vs. pi, and 6d anomaly cancellation
• Tits-Satake projections of homogeneous special geometries
• Gauged D=7 Supergravity on the S**1/Z_2 Orbifold
• D=7 / D=6 Heterotic Supergravity with Gauged R-Symmetry
• Special geometries, from real to quaternionic
• 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• 6D Effective Action of Heterotic Compactification on K3 with nontrivial Gauge Bundles
• Topology and geometry of 6-dimensional (1,0) supergravity black hole horizons
• Aspects of Physics with Two Extra Dimensions
• $\mathcal{N}=2$ Supergravity in $D=4,5,6$ Dimensions
• Dimensional reduction of higher derivative heterotic supergravity
• Stringhe, brane e campi magnetici interni
• Towards 2+4 formulation of M5-brane
• Anomaly-Free Supergravities in Six Dimensions
• On the consistency of a class of R-symmetry gauged 6D N=(1,0) supergravities
• Off-Shell $\mathcal{N}=(1,0)$ Linear Multiplets in Six Dimensions
• Six-dimensional origin of gravity mediated brane to brane supersymmetry breaking
• A Brief Summary Of Global Anomaly Cancellation In Six-Dimensional Supergravity
• Supersymmetric near-horizon geometries in D = 6 supergravity: Lichnerowicz theorems, index theory and symmetry enhancement
• Holographic RG flows in N=4 SCFTs from half-maximal gauged supergravity
• Spinorial geometry, horizons and superconformal symmetry in six dimensions