TITLE

Rational conformal field theory with matrix level and strings on a torus

AUTHOR(S)
Nassar, Ali; Walton, Mark A.
PUB. DATE
January 2014
SOURCE
Canadian Journal of Physics;Jan2014, Vol. 92 Issue 1, p65
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Study of the matrix-level affine algebra Um,K is motivated by conformal field theory and the fractional quantum Hall effect. Gannon completed the classification of Um,K modular-invariant partition functions. Here we connect the algebra U2,K to strings on 2-tori describable by rational conformal field theories. As Gukov and Vafa proved, rationality selects the complex-multiplication tori. We point out that the rational conformal field theories describing strings on complex-multiplication tori have characters and partition functions identical to those of the matrix-level algebra Um,K. This connection makes it obvious that the rational theories are dense in the moduli space of strings on T m, and may prove useful in other ways.
ACCESSION #
93433845

 

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