nLab full field algebra

Idea

Where a vertex operator algebra encodes one chiral half of a 2d CFT, a full field algebra combines two vertex operator algebras to produce a genuine 2d CFT defined on the complex plane (i.e. on genus 0, notice that to define it on all genera one needs still more information, see at FRS-theorem).

Related concepts

• chiral algebra

References

• Yi-Zhi Huang, Liang Kong, Full field algebras, Commun.Math.Phys.272:345-396,2007 (arXiv:0511328)

• Liang Kong, Full field algebras, operads and tensor categories, Adv. Math.213:271-340, 2007 (arXiv:0603065)

Survey and review includes

• Liang KongConformal field theory and a new geometry , in Hisham Sati, Urs Schreiber (eds.), Mathematical Foundations of Quantum Field and Perturbative String Theory (arXiv:1107.3649)