Hodge loci in Calabi-Yau sigma models are identified with non-trivial categories of topological defects preserving N=(2,2) SCA and invertible on spectral-flow generators, with CM structure at special points.
Mirror Symmetry on Kummer Type K3 Surfaces
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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 cover 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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.
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Hodge Loci and Complex Multiplication via Generalized Symmetries in Calabi-Yau sigma models
Hodge loci in Calabi-Yau sigma models are identified with non-trivial categories of topological defects preserving N=(2,2) SCA and invertible on spectral-flow generators, with CM structure at special points.
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Rational points in the 6d supergravity landscape and simple current extensions
Rationality of the 2d SCFT on BPS strings provides a consistency criterion that uniquely determines the elliptic genus and global gauge group in a class of 6d supergravity models without tensor multiplets.