Electric/Magnetic Deformations of S³ and AdS₃, and Geometric Cosets

2004/01/01 by Dan Israël, Dan Israel, Costas Kounnas +2 · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Conformal map #Conformal symmetry #Coset #Cosmology and Gravitation Theories #Deformation (meteorology) #Geometry #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Sigma model #String (physics) #Theoretical physics #hep-th

paper · pdf · doi:10.1002/prop.200410190

published as Fortsch.Phys. 53 (2005) 73-104 · 38 pages, Added References. Aesthetic retouchings

openalex publication_date 2004/01/01 · arxiv created 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We analyze asymmetric marginal deformations of SU(2)_k and SL(2,R)_k WZW models. These appear in heterotic string backgrounds with non-vanishing Neveu--Schwarz three-forms plus electric or magnetic fields, depending on whether the deformation is elliptic, hyperbolic or parabolic. Asymmetric deformations create new families of exact string vacua. The geometries which are generated in this way, deformed S³ or AdS₃, include in particular geometric cosets such as S², AdS₂ or H₂. Hence, the latter are consistent, exact conformal sigma models, with electric or magnetic backgrounds. We discuss various geometric and symmetry properties of the deformations at hand as well as their spectra and partition functions, with special attention to the supersymmetric AdS₂ x S² background. We also comment on potential holographic applications.

Citations

• 2D anti–de Sitter gravity as a conformally invariant mechanical system
• Two Dimensional Yang-Mills, Black Holes and Topological Strings
• Superstrings on AdS₂ and Superconformal Matrix Quantum Mechanics
• Black hole in three-dimensional spacetime
• Heterotic coset models and (0, 2) string vacua
• String theory in magnetic monopole backgrounds
• Infrared behavior of closed superstrings in strong magnetic and gravitational fields
• Homogeneity of Riemannian space-times of Gödel type
• Geometry of the 2+1 Black Hole
• The large N limit of superconformal field theories and supergravity

Cited by

• Supersymmetric Warped Solutions from Type IIB Orientifold Reduction
• Warped AdS3black holes
• Schrödinger sigma models and Jordanian twists
• Heterotic resolved conifolds with torsion, from supergravity to CFT
• Comments on η-deformed principal chiral model from 4D Chern-Simons theory
• Holographic fluids with vorticity and analogue gravity