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A Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field Theory with central charge c=6 | | W. Nahm
; K. Wendland
; | | Date: |
8 Dec 1999 | | Journal: | Commun.Math.Phys. 216 (2001) 85-138 | | Subject: | High Energy Physics - Theory; Mathematical Physics | hep-th math-ph math.MP | | Affiliation: | Bonn U.), K. Wendland (Bonn U. | | Abstract: | We study the moduli space ${cal M}$ of N=(4,4) superconformal field theories with central charge c=6. After a slight emendation of its global description we find the locations of various known models in the component of ${cal M}$ associated to K3 surfaces. Among them are the Z_2 and Z_4 orbifold theories obtained from the torus component of ${cal M}$. Here, SO(4,4) triality is found to play a dominant role. We obtain the B-field values in direction of the exceptional divisors which arise from orbifolding. We prove T-duality for the Z_2 orbifolds and use it to derive the form of ${cal M}$ purely within conformal field theory. For the Gepner model (2)^4 and some of its orbifolds we find the locations in ${cal M}$ and prove isomorphisms to nonlinear sigma models. In particular we prove that the Gepner model (2)^4 has a geometric interpretation with Fermat quartic target space. | | Source: | arXiv, hep-th/9912067 | | Services: | Forum | Review | PDF | Favorites | |
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