Curved Branes in AdS Einstein-Maxwell Gravity and Killing Spinors
W. A. Sabra
TL;DR
This paper finds Killing spinors for magnetic brane solutions in AdS Einstein-Maxwell theories, revealing that curved branes with Ricci-flat worldvolumes can admit parallel spinors, which is crucial for supersymmetry.
Contribution
It provides explicit Killing spinor solutions for a class of magnetic branes and characterizes Ricci-flat worldvolumes that support parallel spinors in AdS Einstein-Maxwell gravity.
Findings
Killing spinors are determined for magnetic branes in AdS Einstein-Maxwell theories.
Curved magnetic branes with Ricci-flat worldvolumes can admit Killing spinors.
Ricci-flat worldvolumes admitting parallel spinors are classified.
Abstract
We determine the Killing spinors for a class of magnetic brane solutions with Minkowski worldvolume of the theory of AdS Einstein Maxwell theories in d dimensions. We also obtain curved magnetic brane solutions with Ricci-flat worldvolumes. If we demand that the curved brane solution admits Killing spinors, then its worldvolume must admit parallel spinors. Classes of Ricci-flat worldvolumes admitting parallel spinors are discussed.
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