Branes, Calibrations and Supergravity
arXiv:hep-th/0305074
Abstract
These notes are based on lectures given at the Clay School on Geometry and String Theory, Isaac Newton Institute, Cambridge, 25 March - 19 April 2002. They attempt to provide an elementary and somewhat self contained discussion of the construction of supergravity solutions describing branes wrapping calibrated cycles, emphasising the geometrical aspects and focusing on D=11 supergravity. Following a discussion of the role of special holonomy backgrounds in D=11 supergravity, the basic membrane and fivebrane solutions are reviewed and the connection with the AdS/CFT correspondence is made. The world-volume description of branes is introduced and used to argue that branes wrapping calibrated cycles in special holonomy manifolds preserve supersymmetry. The corresponding supergravity solutions are constructed first in an auxiliary gauged supergravity theory which is obtained via Kaluza-Klein reduction.
47 pages. More references added
References in corpus (56)
- Large N Field Theories, String Theory and Gravity
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- Supergravity description of field theories on curved manifolds and a no go theorem
- Fivebranes, Membranes and Non-Perturbative String Theory
- Towards the large N limit of pure N=1 super Yang Mills
- All supersymmetric solutions of minimal supergravity in five dimensions
- Embedding AdS Black Holes in Ten and Eleven Dimensions
- The Holographic Bound in Anti-de Sitter Space
- D-Branes and Topological Field Theories
- On Flux Quantization In M-Theory And The Effective Action
- The String Dual of a Confining Four-Dimensional Gauge Theory
- Eleven Dimensional Origin of String/String Duality: A One Loop Test
- Covariant Action for the Super-Five-Brane of M-Theory
- Covariant Action for a D=11 Five-Brane with the Chiral Field
- Higher-dimensional resolution of dilatonic black hole singularities
- Superstrings with Intrinsic Torsion
- The Geometry of D=11 Killing Spinors
- G-Structures and Wrapped NS5-Branes
- A One-Loop Test Of String Duality
- Kappa-Symmetry, Supersymmetry and Intersecting Branes
- The D4-D8 Brane System and Five Dimensional Fixed Points
- An M-theory Flop as a Large N Duality
- A brief review of "little string theories"
- D=11, p=5
- New Vacua of Gauged N=8 Supergravity
- Consistency of the reduction and the origin of self-duality in odd dimensions
- M-Fivebranes Wrapped on Supersymmetric Cycles
- The supergravity dual of a theory with dynamical supersymmetry breaking
- On Realising N=1 Super Yang-Mills in M theory
- Supersymmetry and generalized calibrations
- Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String Theory
- Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
- Supersymmetric Cycles in Exceptional Holonomy Manifolds and Calabi-Yau 4-Folds
- Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
- Five-dimensional N=4, SU(2) X U(1) Gauged Supergravity from Type IIB
- Fivebranes Wrapped On Associative Three-Cycles
- N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
- Supersymmetry of Black Strings in D=5 Gauged Supergravities
- Wrapped fivebranes and N=2 super Yang-Mills theory
- Intersecting Branes
- Membranes Wrapped on Holomorphic Curves
- Localized intersections of M5-branes and four-dimensional superconformal field theories
- Branes and Calibrated Geometries
- BPS Branes in Supergravity
- AdS_6 Interpretation of 5d Superconformal Field Theories
- A note on brane tension and M-theory
- M-Fivebranes Wrapped on Supersymmetric Cycles II
- AdS in Warped Spacetimes
- Branes Wrapped on Coassociative Cycles
- Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
- D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
- Various Wrapped Branes from Gauged Supergravities
- Calibrations and Fayyazuddin-Smith Spacetimes
- On SUSY Breaking And \chiSB From String Duals
- A Calibration Bound for the M-Theory Fivebrane
- M2-branes wrapped on holomorphic curves
Cited by in corpus (37)
- Black hole microstates in AdS from supersymmetric localization
- Four-Dimensional SCFTs from M5-Branes
- Progress in D-brane model building
- Accelerating Black Holes and Spinning Spindles
- AdS spacetimes from wrapped M5 branes
- Branes on Generalized Calibrated Submanifolds
- M5 brane and four dimensional N=1 theories I
- Membrane Instantons and de Sitter Vacua
- D-brane networks in flux vacua, generalized cycles and calibrations
- Landscaping with fluxes and the E8 Yukawa Point in F-theory
- Spherical Branes
- Anomaly cancellation in M-theory: a critical review
- Electrified branes
- Timelike Killing spinors in seven dimensions
- AdS spacetimes from wrapped D3-branes
- Supersymmetric AdS Backgrounds in String and M-theory
- Flowing from to with
- Open/closed string duality and relativistic fluids
- N=1 supersymmetric solutions of IIB supergravity
- Dynamics of Probe Brane in the Background of Intersecting Fivebranes
- Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
- Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
- The Holographic Dual of 2+1 Dimensional QFTs with N=1 SUSY and Massive Fundamental Flavours
- Superconformal Quantum Mechanics from M2-branes
- Taxonomy of Brane Gravity Localisations
- A Landscape of Field Theories
- Banados and SUSY: On Supersymmetry and Minimal Surfaces of Locally AdS3 Geometries
- Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
- Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
- Instantons, five-branes and fractional strings
- 4d /2d Yang-Mills Duality in Holography
- Supersymmetric quantum mechanics from wrapped branes
- Wrapped NS5-Branes, Consistent Truncations and Inönü-Wigner Contractions
- Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
- Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models
- An Introduction to Potential Theory in Calibrated Geometry
- fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory