Classification of chiral fermionic CFTs of central charge $\le$ 16
Philip Boyle Smith, Ying‐Hsuan Lin, Yuji Tachikawa, Yunqin Zheng
Abstract
We classify two-dimensional purely chiral unitary conformal field theories which are defined on two-dimensional surfaces equipped with spin structure and have central charge less than or equal to 16 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mn>16</mml:mn> </mml:math> , and discuss their duality webs. This result can be used to confirm that the list of non-supersymmetric ten-dimensional heterotic string theories found in the late 1980s is complete and does not miss any exotic example.
Topics & Concepts
Central chargeHeterotic string theoryUnitary stateDuality (order theory)Conformal mapCharge (physics)String (physics)PhysicsConformal field theoryTheoretical physicsField (mathematics)Spin (aerodynamics)Mathematical physicsParticle physicsPure mathematicsMathematicsGeometryThermodynamicsLawPolitical scienceBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsPhysics of Superconductivity and Magnetism