ScalingStacks

2.5 Example: WZW model for S ​ U ​ ( 2 ) [03QC]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

2.5 Example: WZW model for S​U​(2)SU(2)

In this case we have a discrete family with c=3​kk+2c={3k\over{k+2}}, where k≥1k\geq 1 is an integer number called level. In the limit k→+∞k\to+\infty one gets X=S​U​(2)=S3X=SU(2)=S^{3} equipped with the standard metric. The corresponding bundle is the trivial bundle of trivial CFTs (with c=0c=0 and H=H0,0=𝐂H=H^{0,0}={{\bf C}}). Analogous picture holds for an arbitrary compact simply connected simple group GG.

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.