From Gaudin Integrable Models to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Dimensional Multipoint Conformal Blocks
Ilija Burić, Sylvain Lacroix, Jeremy A. Mann, Lorenzo Quintavalle, Volker Schomerus
Abstract
In this work, we initiate an integrability-based approach to multipoint conformal blocks for higher-dimensional conformal field theories. Our main observation is that conformal blocks for N-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks.
Topics & Concepts
Conformal mapIntegrable systemEigenfunctionOrdinary differential equationConformal field theoryPhysicsMathematical physicsComputer scienceDifferential equationMathematical analysisMathematicsQuantum mechanicsEigenvalues and eigenvectorsAlgebraic structures and combinatorial modelsNonlinear Waves and SolitonsAdvanced Topics in Algebra