Killing spinors of some supergravity solutions
Daniel Arean

TL;DR
This paper explicitly computes Killing spinors for various ten-dimensional supergravity solutions, including conifold-based backgrounds and non-commutative deformations, enhancing understanding of supersymmetry in these geometries.
Contribution
It provides explicit formulas for Killing spinors in several important supergravity backgrounds, including singular, resolved, and deformed conifolds, and non-commutative geometries.
Findings
Explicit Killing spinors for conifold solutions
Killing spinors for Klebanov-Witten and Klebanov-Tseytlin backgrounds
Killing spinors for the non-commutative Maldacena-Núñez geometry
Abstract
We compute explicitly the Killing spinors of some ten dimensional supergravity solutions. We begin with a 10d metric of the form , where is either the singular conifold or any of its resolutions. Then, we move on to the Klebanov-Witten and Klebanov-Tseytlin backgrounds, both constructed over the singular conifold; and we also study the Klebanov-Strassler solution, built over the deformed conifold. Finally, we determine the form of the Killing spinors for the non-commutative deformation of the Maldacena-N\'u\~nez geometry.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Cosmology and Gravitation Theories
