6533b7d5fe1ef96bd126461a

RESEARCH PRODUCT

3D SINGLETONS AND THEIR BOUNDARY 2D CONFORMAL FIELD THEORY

Sébastien Michéa

subject

Primary fieldde Sitter–Schwarzschild metricDe Sitter spaceConformal field theoryWess–Zumino–Witten modelStatistical and Nonlinear PhysicsWitt algebraAnti-de Sitter spaceMathematical Physicsde Sitter invariant special relativityMathematical physicsMathematics

description

This paper is a continuation of recent work of Flato and Frønsdal on singletons in 1+2 anti De Sitter universe and their link with 2D conformal field theories on the boundary. More specifically we show that in this framework we can construct a 3D-singleton model in the bulk, the limit of which on the boundary of De Sitter space is a Gupta–Bleuler triplet for two commuting copies of the Witt algebra. We also generalize this result to the case of WZNW models.

https://doi.org/10.1142/s0129055x99000349