Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- Part II Applications
- 16 AdS7 × S4 nonlinear KK compactification of 11-dimensional supergravity and related notions
- 17 (Abelian and nonabelian) T-dualities and other solution generatingtechniques: TsT, O(d, d), and null Melvin twist
- 18 Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule
- 19 Supersymmetry of solutions, classification via susy algebra, intersecting brane solutions
- 20 U-duality group acting on supergravity theories and on solutions,M theory unification
- 21 Gravity duals: Decoupling limit and Penrose limits on solutions and algebras
- 22 Supersymmetric AdS/CFT gravity dual pairs and their deformations (susy, marginal, integrable)
- 23 Extremal black holes, the attractormechanism, and holography
- 24 Supersymmetric string (NS-R, GS, Berkovits) and supergravity on the worldsheet vs. spacetime supergravity
- 25 Kappa symmetry and spacetime supergravity equations of motion; superembedding formalism
- 26 Supergravity and cosmological inflation models
- 27 Maldacena–Núñez and supergravity no-go theorems; loopholes
- 28 Witten’s positive energy theorem in general relativity and connection with supergravity
- 29 Compactification of low-energy string theory
- 30 Toward realistic embeddings of the Standard Model using supergravity
- 31 Minimal sugra, phenomenology, andmodels of susy breaking
- References
- Index
18 - Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule
from Part II - Applications
Published online by Cambridge University Press: 14 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- Introduction
- Part I Formalism
- Part II Applications
- 16 AdS7 × S4 nonlinear KK compactification of 11-dimensional supergravity and related notions
- 17 (Abelian and nonabelian) T-dualities and other solution generatingtechniques: TsT, O(d, d), and null Melvin twist
- 18 Extremal and black p-brane solutions of supergravity; Tseytlin’s harmonic function rule
- 19 Supersymmetry of solutions, classification via susy algebra, intersecting brane solutions
- 20 U-duality group acting on supergravity theories and on solutions,M theory unification
- 21 Gravity duals: Decoupling limit and Penrose limits on solutions and algebras
- 22 Supersymmetric AdS/CFT gravity dual pairs and their deformations (susy, marginal, integrable)
- 23 Extremal black holes, the attractormechanism, and holography
- 24 Supersymmetric string (NS-R, GS, Berkovits) and supergravity on the worldsheet vs. spacetime supergravity
- 25 Kappa symmetry and spacetime supergravity equations of motion; superembedding formalism
- 26 Supergravity and cosmological inflation models
- 27 Maldacena–Núñez and supergravity no-go theorems; loopholes
- 28 Witten’s positive energy theorem in general relativity and connection with supergravity
- 29 Compactification of low-energy string theory
- 30 Toward realistic embeddings of the Standard Model using supergravity
- 31 Minimal sugra, phenomenology, andmodels of susy breaking
- References
- Index
Summary
We described actions and equations of motion for general supergravities, out of which we derive extremal and black p-brane solutions. We find electric p-brane solutions and magnetic p-brane solutions and show the duality between them, then we generalize to black p-branes and Dp-branes in 10 dimensions, and then we discuss fundamental string and NS5-brane solutions in 10 dimensions. Tseytlin’s harmonic function rule for writing intersecting brane solutions is explained.
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- Introduction to Supergravity and its Applications , pp. 223 - 239Publisher: Cambridge University PressPrint publication year: 2024