A Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field Theory with central charge c=6

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dc.creatorNahm, W.
dc.creatorWendland, K.
dc.date1999-12-08
dc.date2000-07-14
dc.date.accessioned2026-07-07T12:45:15Z
dc.date.available2026-07-07T12:45:15Z
dc.descriptionWe 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.
dc.description58 pages, version submitted to Comm. Math. Phys; references added and minor mistakes corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9912067
dc.identifierhttp://arxiv.org/abs/hep-th/9912067
dc.identifierCommun.Math.Phys.216:85-138,2001
dc.identifierdoi:10.1007/PL00005548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221031
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleA Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field Theory with central charge c=6
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