Quantum Symmetries and Exceptional Collections |
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Authors: | Robert L Karp |
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Institution: | 1.Department of Physics,Virginia Tech,Blacksburg,USA;2.Department of Systems Biology,Harvard Medical School,Boston,USA |
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Abstract: | We study the interplay between discrete quantum symmetries at certain points in the moduli space of Calabi-Yau compactifications,
and the associated identities that the geometric realization of D-brane monodromies must satisfy. We show that in a wide class
of examples, both local and compact, the monodromy identities in question always follow from a single mathematical statement.
One of the simplest examples is the
\mathbb Z5{{\mathbb Z}_5} symmetry at the Gepner point of the quintic, and the associated D-brane monodromy identity. |
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Keywords: | |
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