Communications in Mathematical Physics

, Volume 243, Issue 3, pp 557–582 | Cite as

Mirror Symmetry on Kummer Type K3 Surfaces

  • Werner Nahm
  • Katrin WendlandEmail author


We investigate both geometric and conformal field theoretic aspects of mirror symmetry on N=(4,4) superconformal field theories with central charge c=6. Our approach enables us to determine the action of mirror symmetry on (non-stable) singular fibers in elliptic fibrations of ℤ N orbifold limits of K3. The resulting map gives an automorphism of order 4,8, or 12, respectively, on the smooth universal covering space of the moduli space. We explicitly derive the geometric counterparts of the twist fields in our orbifold conformal field theories. The classical McKay correspondence allows for a natural interpretation of our results.


Field Theory Modulus Space Mirror Symmetry Central Charge Universal Covering 
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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Physikalisches InstitutUniversität BonnBonnGermany
  2. 2.Dept. of Physics and AstronomyUNC at Chapel HillUSA

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