A K3 sigma model with : symmetry

A bstract The K3 sigma model based on the -orbifold of the D 4 -torus theory is studied. It is shown that it has an equivalent description in terms of twelve free Majorana fermions, or as a rational conformal field theory based on the affine algebra . By combining these different viewpoints we show...

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Bibliographic Details
Published in:The journal of high energy physics 2014-02, Vol.2014 (2), p.1-54
Main Authors: Gaberdiel, Matthias R., Taormina, Anne, Volpato, Roberto, Wendland, Katrin
Format: Article
Language:English
Subjects:
Algebra
Classical and Quantum Gravitation
Elementary Particles
Equivalence
Fermions
Field theory
Group theory
Mathematical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Symmetry
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Summary:A bstract The K3 sigma model based on the -orbifold of the D 4 -torus theory is studied. It is shown that it has an equivalent description in terms of twelve free Majorana fermions, or as a rational conformal field theory based on the affine algebra . By combining these different viewpoints we show that the = (4 , 4) preserving symmetries of this theory are described by the discrete symmetry group : . This model therefore accounts for one of the largest maximal symmetry groups of K3 sigma models. The symmetry group involves also generators that, from the orbifold point of view, map untwisted and twisted sector states into one another.
ISSN:1029-8479
DOI:10.1007/JHEP02(2014)022