Abstract:
We study the moduli space 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 ℳ associated to K3 surfaces. Among them are the ℤ2 and ℤ4 orbifold theories obtained from the torus component of 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 ℤ2 orbifolds and use it to derive the form of ℳ purely within conformal field theory. For the Gepner model (2)4 and some of its orbifolds we find the locations in ℳ and prove isomorphisms to nonlinear σ models. In particular we prove that the Gepner model (2)4 has a geometric interpretation with Fermat quartic target space.
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Received: 1 March 2000 / Accepted: 17 July 2000
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Nahm, W., Wendland, K. A Hiker's Guide to K3.¶Aspects of N= (4,4) Superconformal Field Theory¶with Central Charge c= 6. Commun. Math. Phys. 216, 85–138 (2001). https://doi.org/10.1007/PL00005548
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DOI: https://doi.org/10.1007/PL00005548