Free Field Realizations in Representation Theory and Conformal Field Theory

Edward Frenkel
Additional contact information
Edward Frenkel: Harvard University, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1256-1269 from Springer

Abstract: Abstract Free field realization is a relatively new formalism that intertwines representation theory, conformal field theory, and the theory of nonlinear integrable equations. From the physics point of view, it provides realizations of two-dimensional conformal field theories via free bosonic theories. This allows one to find integrals of motion and compute explicitly correlation functions. Mathematically, free field realizations bring new insights into representation theory of conformal algebras, e.g., a new series of representations of affine Kac-Moody algebras, which can be considered as an analogue of the principal series of semi-simple groups over local fields. This connects representation theory of affine algebras with Langlands philosophy.

Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_120

Ordering information: This item can be ordered from
http://www.springer.com/9783034890786

DOI: 10.1007/978-3-0348-9078-6_120

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().