Killing Spinors for the Bosonic String

Abstract

We obtain the effective action for the bosonic string with arbitrary Yang-Mills fields, up to the α' order, in general dimensions. The form of the action is determined by the requirement that the action admit well-defined Killing spinor equations, whose projected integrability conditions give rise to the full set of equations of motion. The success of the construction suggests that the hidden "pseudo-supersymmetry" associated with the Killing spinor equations may be a property of the bosonic string itself.

9 pages

References in corpus (3)

• Torsional Heterotic Geometries
• Pseudo-supersymmetry, Consistent Sphere Reduction and Killing Spinors for the Bosonic String
• Pseudo-Killing Spinors, Pseudo-supersymmetric p-branes, Bubbling and Less-bubbling AdS Spaces

Cited by in corpus (7)

• Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
• f(R) Gravities, Killing Spinor Equations, "BPS" Domain Walls and Cosmology
• Killing Spinors for the Bosonic String and the Kaluza-Klein Theory with Scalar Potentials
• Pseudo-Supergravity Extension of the Bosonic String
• Gauged Kaluza-Klein AdS Pseudo-supergravity
• f(R) Theories of Supergravities and Pseudo-supergravities
• Supersymmetric Asymptotic AdS and Lifshitz Solutions in Einstein-Weyl and Conformal Supergravities