Interpolating between asymptotic and near horizon symmetries
Daniel Grumiller, M.M. Sheikh-Jabbari, Cedric Troessaert, Raphaela Wutte
Abstract
A bstract We develop basic tools and matching conditions to interpolate between asymptotic and near horizon symmetries. We focus on black holes in three dimensions. In particular, we match Brown-Henneaux boundary conditions at infinity, which yields two Virasoro algebras, to Heisenberg boundary conditions at the horizon yielding two û (1) current algebras. Our construction allows to equip BTZ black holes with soft hair excitations at the horizon invisible to the asymptotic observer.
Topics & Concepts
PhysicsHorizonHomogeneous spaceBoundary (topology)BTZ black holeApparent horizonBoundary value problemMathematical physicsFocus (optics)Black hole (networking)Matching (statistics)AsymptotologyTheoretical physicsAsymptotic expansionEvent horizonSimple (philosophy)Asymptotic analysisQuantum electrodynamicsLoop (graph theory)Current (fluid)Domain (mathematical analysis)Virasoro algebraTracking (education)Variety (cybernetics)Black Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNoncommutative and Quantum Gravity Theories