Supersymmetric heterotic string backgrounds

Abstract

We present the main features of the solution of the gravitino and dilatino Killing spinor equations derived in hep-th/0510176 and hep-th/0703143 which have led to the classification of geometric types of all type I backgrounds. We then apply these results to the supersymmetric backgrounds of the heterotic string. In particular, we solve the gaugino Killing spinor equation together with the other two Killing spinor equations of the theory. We also use our results to classify all supersymmetry conditions of ten-dimensional gauge theory.

12 pages, v2: gauge theory applications are stressed and references added

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Cited by in corpus (26)

• Heterotic supersymmetry, anomaly cancellation and equations of motion
• Heterotic String Compactifications on Half-flat Manifolds II
• Killing-Yano equations and G-structures
• Classification, geometry and applications of supersymmetric backgrounds
• Heterotic domain wall solutions and SU(3) structure manifolds
• Infinitesimal moduli of G2 holonomy manifolds with instanton bundles
• All the timelike supersymmetric solutions of all ungauged d=4 supergravities
• Spinorial geometry and Killing spinor equations of 6-D supergravity
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• M-Theory with Framed Corners and Tertiary Index Invariants
• On the supersymmetric solutions of the Heterotic Superstring effective action
• IIB black hole horizons with five-form flux and extended supersymmetry
• On small black holes, KK monopoles and solitonic 5-branes
• Invariant Killing spinors in 11D and type II supergravities
• Sasakian quiver gauge theories and instantons on the conifold
• Rigid supersymmetry, conformal coupling and twistor spinors
• Higher-derivative corrections to small black rings
• Sasakian quiver gauge theory on the Aloff-Wallach space $X_{1,1}$
• Spinors of real type as polyforms and the generalized Killing equation
• Solution of heterotic Killing spinor equations and special geometry
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• Supersymmetry Enhancement of Heterotic Horizons
• Spinorial geometry, horizons and superconformal symmetry in six dimensions