Gaugings and other supergravity tools of p-brane physics

Abstract

In this series of lectures I present a review of the geometric structures of supergravity in diverse dimensions mostly relevant to p-brane physics and to pinpoint the correspondence between the macroscopic and microscopic description of branes. In particular I review duality transformations, coset manifold structures and the general steps involved by the process of gauging supergravity lagrangians both with respect to compact, non compact and non semisimple groups. I focus specifically on the issue of the Domain Wall field theory correspondence and its relation with the gaugings of supergravity in p+2 dimensions. A complete review of the geometries involved by D=5, N=2 supergravity and of its most general form is given with emphasis on the problem of finding smooth supersymmetric realizations of the Randall Sundrum scenarios. I also give a general review of the algebraic machinery involved by the Solvable Lie algebra description of the scalar manifolds of supergravity and I emphasize its distinguished role in pinpointing the superstring interpretation of supergravity p brane solutions and the macroscopic/microscopic correspondence.

Lectures given at the RTN School Recent Advances in M-theory, Paris February 1-8 IHP, supported by EEC contract HPRN-CT-2000-00131 Typos corrected and References added

References in corpus (29)

• A Large Mass Hierarchy from a Small Extra Dimension
• Large N Field Theories, String Theory and Gravity
• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Universality of Sypersymmetric Attractors
• Supersymmetry as a Cosmic Censor
• Einstein manifolds and conformal field theories
• Symmetry structure of special geometries
• Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
• Special geometry, cubic polynomials and homogeneous quaternionic spaces
• Black Holes in String Theory
• The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets
• 3D superconformal theories from Sasakian seven-manifolds: new nontrivial evidences for AdS_4/CFT_3
• Minimal Higgs Branch for the Breaking of Half of the Supersymmetries in N=2 Supergravity
• Anti-deSitter Vacua of Gauged Supergravities with 8 Supercharges
• Solvable Lie Algebras in Type IIA, Type IIB and M Theories
• Spontaneous N=2 --> N=1 local supersymmetry breaking with surviving local gauge group
• Naked singularities in dilatonic domain wall space-times
• The Vacua of 5d,N=2 Gauged Yang-Mills/Einstein/Tensor Supergravity: Abelian Case
• Gravity Duals of Fractional Branes in Various Dimensions
• Regular BPS black holes: macroscopic and microscopic description of the generating solution
• Gauging the Full R-Symmetry Group in Five-dimensional, N=2 Yang-Mills/Einstein/tensor Supergravity
• Brane-world Kaluza-Klein reductions and Branes on the Brane
• The 0-brane action in a general D=4 supergravity background
• Microscopic entropy of the most general four-dimensional BPS black hole
• Regular R-R and NS-NS BPS black holes
• On Central Charges and Hamiltonians for 0-brane dynamics
• Spontaneously Broken N=2 Supergravity Without Light Mirror Fermions
• Duality, Central Charges and Entropy of Extremal BPS Black Holes

Cited by in corpus (12)

• Stable de Sitter Vacua from N=2 Supergravity
• Integrable Scalar Cosmologies I. Foundations and links with String Theory
• The group theory of oxidation
• Flows on quaternionic-Kaehler and very special real manifolds
• Supersymmetric 3-branes on smooth ALE manifolds with flux
• U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
• Cosmic Billiards with Painted Walls in Non-Maximal Supergravities: a worked out example
• Examples of N=2 to N=1 supersymmetry breaking
• Axial Symmetric Kahler manifolds, the D-map of Inflaton Potentials and the Picard-Fuchs Equation
• Hyperinstantons, the Beltrami Equation, and Triholomorphic Maps
• BPS D3-branes on smooth ALE manifolds
• Supersymmetric domain wall x G/H solutions of IIB supergravity