Wendland, Katrin (2006) A family of SCFTs hosting all "very attractive" relatives of the (2)(4) Gepner model. Journal of High Energy Physics (No.3). Article: 102. doi:10.1088/1126-6708/2006/03/102

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Abstract

This work gives a manual for constructing superconformal field theories associated to a family of smooth K3 surfaces. A direct method is not known, but a combination of orbifold techniques with a non-classical duality turns out to yield such models. A four parameter family of superconformal field theories associated to certain quartic K3 surfaces in C P 3 is obtained, four of whose complex structure parameters give the parameters within superconformal field theory. Standard orbifold techniques are used to construct these models, so on the level of superconformal field theory they are already well understood. All "very attractive" K3 surfaces belong to the family of quartics underlying these theories, that is all quartic hypersurfaces in CP3 with maximal Picard number whose defining polynomial is given by the sum of two polynomials in two variables. A particular member of the family is the (2)(4) Gepner model, such that these theories can be viewed as complex structure deformations of (2)(4) in its geometric interpretation on the Fermat quartic.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Journal of High Energy Physics
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	1126-6708
Official Date:	March 2006
Dates:	Date Event March 2006 Published
Number:	No.3
Number of Pages:	51
Page Range:	Article: 102
DOI:	10.1088/1126-6708/2006/03/102
Status:	Not Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access

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