Brane Effective Actions, Kappa-Symmetry and Applications
arXiv:1110.2422 · doi:10.12942/lrr-2012-3
Abstract
This is a review on brane effective actions, their symmetries and some of its applications. Its first part uncovers the Green-Schwarz formulation of single M- and D-brane effective actions focusing on kinematical aspects : the identification of their degrees of freedom, the importance of world volume diffeomorphisms and kappa symmetry, to achieve manifest spacetime covariance and supersymmetry, and the explicit construction of such actions in arbitrary on-shell supergravity backgrounds. Its second part deals with applications. First, the use of kappa symmetry to determine supersymmetric world volume solitons. This includes their explicit construction in flat and curved backgrounds, their interpretation as BPS states carrying (topological) charges in the supersymmetry algebra and the connection between supersymmetry and hamiltonian BPS bounds. When available, I emphasise the use of these solitons as constituents in microscopic models of black holes. Second, the use of probe approximations to infer about non-trivial dynamics of strongly coupled gauge theories using the AdS/CFT correspondence. This includes expectation values of Wilson loop operators, spectrum information and the general use of D-brane probes to approximate the dynamics of systems with small number of degrees of freedom interacting with larger systems allowing a dual gravitational description. Its final part briefly discusses effective actions for N D-branes and M2-branes. This includes both SYM theories, their higher order corrections and partial results in covariantising these couplings to curved backgrounds, and the more recent supersymmetric Chern-Simons matter theories describing M2-branes using field theory, brane constructions and 3-algebra considerations.
122 pages + references, 11 figures and 6 tables; invited review to be published in Living Reviews in Relativity; v2 typos corrected, references added and improved appendix A; v3 further references added
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- M2-branes, 3-Lie Algebras and Plucker relations
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- Thermodynamics of the hot BIon
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- Gauge Theory in higher dimensions, II
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- Counting Wobbling Dual-Giants
- An associative star-three-product and applications to M two/M five-brane theory
- The electrostatic view on M-theory LLM geometries
- Black Hole Giants
- Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
- The baryon vertex with magnetic flux
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Cited by in corpus (38)
- and dS
- Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua
- Multiple Membranes in M-theory
- String Theory Origin of Constrained Multiplets
- Dual D-Brane Actions in Nonrelativistic String Theory
- Soft branes in supersymmetry-breaking backgrounds
- Wilson loops in 5d long quiver gauge theories
- Type IIB 7-branes in warped : partition functions, brane webs and probe limit
- Supersymmetric embedding of antibrane polarization
- Hair-brane Ideas on the Horizon
- Nambu-Sigma model and effective membrane actions
- Duality-symmetric actions for non-Abelian tensor fields
- Non-Relativistic M2-Brane
- A note on co-dimension 2 defects in N=4,d=7 gauged supergravity
- Open/closed string duality and relativistic fluids
- D1 and D5-brane giant gravitons on
- Non-Relativistic D-brane from T-duality Along Null Direction
- Supersymmetry Breaking in Spatially Modulated Vacua
- The double cone geometry is stable to brane nucleation
- On type IIB supergravity action on solutions
- Extended generalized geometry and a DBI-type effective action for branes ending on branes
- Highly Effective Action from Large N Gauge Fields
- Supersymmetric Perturbations of the M5 brane
- Stable and Unstable Dp-branes in p-brane Newton-Cartan Background
- Unstable D-brane in Torsional Newton-Cartan Background
- Lessons from the Vacuum Structure of 4d N=2 Supergravity
- Manifestly Covariant Polynomial M5-brane Lagrangians
- Higher-group global symmetry and the bosonic M5 brane
- Holographic duality and applications
- Holographic M-Brane Super-Embeddings
- A covariant simultaneous action for branes
- Remark About T-duality of Dp-Branes
- Supersymmetric Dyons, Superstrings, and Rotating Wormholes
- The many faces of brane-flux annihilation
- On world-volume supersymmetry of supermembrane action in static gauge
- Branes, fermions, and superspace dualities
- Uniform Gauge for D1-brane in General Background
- Canonical Analysis of Geometrical Action for Dp-brane