Mirror Mirror On The Wall: On 2d Black Holes and Liouville Theory
arXiv:hep-th/0303151 · doi:10.1088/1126-6708/2003/04/031
Abstract
We present a novel derivation of the duality between the two-dimensional Euclidean black hole and supersymmetric Liouville theory. We realise these (1+1)-dimensional conformal field theories on the worldvolume of domain walls in a (2+1)-dimensional gauge theory. We show that there exist two complementary descriptions of the domain wall dynamics, resulting in the two mirror conformal field theories. In particular, effects which are usually attributed to worldsheet instantons are captured by the classical scattering of domain walls.
21 Pages, 4 Figures. v2: Reference added. v3: typos corrected
References in corpus (4)
Cited by in corpus (58)
- Solitons in the Higgs phase -- the moduli matrix approach --
- All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
- Instantons in the Higgs Phase
- TASI Lectures on Solitons
- Construction of Non-Abelian Walls and Their Complete Moduli Space
- Non-Abelian Walls in Supersymmetric Gauge Theories
- Non-Abelian Vortices on Cylinder -- Duality between vortices and walls
- Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
- Long strings in two dimensional string theory and non-singlets in the matrix model
- SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
- Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
- 1/2, 1/4 and 1/8 BPS Equations in SUSY Yang-Mills-Higgs Systems -- Field Theoretical Brane Configurations --
- D-brane Construction for Non-Abelian Walls
- Notes on Non-Critical Superstrings in Various Dimensions
- Webs of Walls
- D-branes in N=2 Liouville and its mirror
- The partition function of the supersymmetric two-dimensional black hole and little string theory
- Two-dimensional superstrings and the supersymmetric matrix model
- Global Structure of Moduli Space for BPS Walls
- Little String Theory and Heterotic/Type II Duality
- Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
- Domain Walls with Non-Abelian Clouds
- Type 0 Strings in a 2-d Black Hole
- Exact Wall Solutions in 5-Dimensional SUSY QED at Finite Coupling
- Intersecting Solitons, Amoeba and Tropical Geometry
- Effective Theory on Non-Abelian Vortices in Six Dimensions
- Dynamics of Domain Wall Networks
- Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
- Effective Action of Domain Wall Networks
- The Quantum Dynamics of Heterotic Vortex Strings
- Symmetry and entropy of black hole horizons
- Moduli Space of BPS Walls in Supersymmetric Gauge Theories
- Extended SL(2,R)/U(1) characters, or modular properties of a simple non-rational conformal field theory
- Dynamics of Strings between Walls
- On Monopoles and Domain Walls
- BPS Multi-Walls in Five-Dimensional Supergravity
- Mirror Symmetry and Bosonization in 2d and 3d
- Semi-localized instability of the Kaluza-Klein linear dilaton vacuum
- The Nothing at the Beginning of the Universe Made Precise
- Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
- Three-dimensional black hole entropy
- FZZ Algebra
- Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
- Intersecting Branes, Domain Walls and Superpotentials in 3d Gauge Theories
- FZZ Scattering
- Non-Critical String Duals of N=1 Quiver Theories
- Renormalization group flows and continual Lie algebras
- Large N gauge theories and topological cigars
- Counting Strings, Wound and Bound
- The Topological Cigar Observables
- Double Scaling Limits and Twisted Non-Critical Superstrings
- Black Hole - String Transition and Rolling D-brane
- Orientifolds in N=2 Liouville Theory and its Mirror
- Gauged Linear Sigma Models for Noncompact Calabi-Yau Varieties
- Domain walls with non-Abelian orientational moduli
- Domain Wall and Three Dimensional Duality
- Strings and D-branes in holographic backgrounds
- Near integrability of kink lattice with higher order interactions