(1,0) superconformal theories in six dimensions and Killing spinor equations

Abstract

We solve the Killing spinor equations of 6-dimensional (1,0) superconformal theories in all cases. In particular, we derive the conditions on the fields imposed by the Killing spinor equations and demonstrate that these depend on the isotropy group of the Killing spinors. We focus on the models proposed by Samtleben et al in \cite{ssw} and find that there are solutions preserving 1,2, 4 and 8 supersymmetries. We also explore the solutions which preserve 4 supersymmetries and find that many models admit string and 3-brane solitons as expected from the M-brane intersection rules. The string solitons are smooth regulated by the moduli of instanton configurations.

26 pages

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• M2-branes, 3-Lie Algebras and Plucker relations
• (1,0) superconformal models in six dimensions
• Non-abelian Action for Multiple Five-Branes with Self-Dual Tensors
• New superconformal models in six dimensions: Gauge group and representation structure
• A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x G
• New half supersymmetric solutions of the heterotic string
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Topology and geometry of 6-dimensional (1,0) supergravity black hole horizons

Cited by in corpus (20)

• Six-dimensional Supergravity and Projective Superfields
• Non-Abelian Tensor Towers and (2,0) Superconformal Theories
• Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets
• Towards an M5-Brane Model I: A 6d Superconformal Field Theory
• Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• Hidden Q-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Duality-symmetric actions for non-Abelian tensor fields
• Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
• Non-Abelian Self-Dual String Solutions
• The Non-Abelian Self-Dual String and the (2,0)-Theory
• Self-dual String and Higher Instanton Solutions
• Higher Gauge Theory
• Non-Abelian Self-Dual Strings in Six Dimensions from Four Dimensional 1/2-BPS Monopoles
• Real Killing Spinors in Neutral Signature
• From Static to Cosmological Solutions of N=2 Supergravity
• Brane solitons of (1,0) superconformal theories in six dimensions with hypermultiplets
• Explicit Non-Abelian Gerbes with Connections
• Spinorial geometry, horizons and superconformal symmetry in six dimensions
• Killing Spinors -- Beyond Supergravity