Quantum symmetries and exceptional collections

Details Quantum symmetries and exceptional collections Quantum symmetries and exceptional collections

2008-11-20

arxiv.org/abs/0811.3375v1

Commun.Math.Phys.301:1-21,2011

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1007/s00220-010-1174-9

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 Z_5 symmetry at the Gepner point of the quintic, and the associated D-brane monodromy identity.

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