Instantons and Wormholes in N=2 supergravity

Abstract

In this paper, we construct Euclidean instanton and wormhole solutions in $d=4$, N=2 supergravity theories with hypermultiplets. The analytic continuation of the hypermultiplet action, involving pseudoscalar axions, is discussed using the approach originally developed by Coleman which determines the apparence of boundary terms. In particular, we investigate the conditions obtained by requiring the action to be positive-definite once the boundary terms are taken into account. The case of two hypermultiplets parameterizing the coset $G_{2,2}/SU(2)\times SU(2)$ is studied in detail. Orientifold projections which reduce the supersymmetry to N=1 are also discussed.

57 pages, 4 figures, pdflatex, v2: references and some clarifications added,v3: reference corrected and figures modified

References in corpus (48)

• N=2 Extremal Black Holes
• Fivebranes, Membranes and Non-Perturbative String Theory
• Supersymmetry and Attractors
• Black Hole Attractors and the Topological String
• Effects of D-instantons
• Wormholes in AdS
• Supergravity flows and D-brane stability
• The effective action of N=1 Calabi-Yau orientifolds
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models
• The effective action of Type IIA Calabi-Yau orientifolds
• Corrections to macroscopic supersymmetric black-hole entropy
• Non-Supersymmetric Attractors
• Instantons and seven-branes in type IIB superstring theory
• Symmetry structure of special geometries
• The Non-BPS Black Hole Attractor Equation
• Euclidean Wormholes in String Theory
• Non-Supersymmetric Attractor Flow in Symmetric Spaces
• Generating Geodesic Flows and Supergravity Solutions
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• BPS black holes, quantum attractor flows and automorphic forms
• D-instantons and twistors
• Stationary BPS Solutions in N=2 Supergravity with R^2-Interactions
• Orientifolds and Mirror Symmetry
• Stationary solutions of N=2 supergravity
• Quantum Attractor Flows
• Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
• Instantons and Holomorphic Couplings in Intersecting D-brane Models
• Consistent reduction of N=2 -> N=1 four dimensional supergravity coupled to matter
• Non-supersymmetric Black Holes and Topological Strings
• Instantons and Wormholes In Minkowski and (A)dS Spaces
• Supergravity Instantons for N=2 Hypermultiplets
• Instantons in the Double-Tensor Multiplet
• Supergravity Instantons and the Universal Hypermultiplet
• From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• Non-extremal D-instantons
• c--Map,very Special Quaternionic Geometry and Dual Kahler Spaces
• Linear perturbations of Hyperkahler metrics
• Quasi-conformal actions, quaternionic discrete series and twistors: SU(2,1) and G_2(2)
• Membrane and fivebrane instantons from quaternionic geometry
• Fivebrane Instanton Corrections to the Universal Hypermultiplet
• 5D Black Holes and Non-linear Sigma Models
• N=1 reductions of N=2 supergravity in the presence of tensor multiplets
• Holography Principle and Topology Change in String Theory
• Supergravity description of spacetime instantons
• D-brane instanton effects in Type II orientifolds: local and global issues
• Instantons and Wormholes for the Universal Hypermultiplet
• Instantons and SL(2,R) Symmetry in Type IIB Supergravity

Cited by in corpus (7)

• Euclidean wormholes, baby universes, and their impact on particle physics and cosmology
• Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• The automorphic NS5-brane
• Euclidean Actions, Instantons, Solitons and Supersymmetry
• All extremal instantons in Einstein-Maxwell-dilaton-axion theory
• Holography for $\mathcal{N}=1^{\ast }$ on $S^4$ and Supergravity