Quantum symmetries and exceptional collections
High Energy Physics - Theory
2011-01-04 v1
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 Z_5 symmetry at the Gepner point of the quintic, and the associated D-brane monodromy identity.
Cite
@article{arxiv.0811.3375,
title = {Quantum symmetries and exceptional collections},
author = {Robert L. Karp},
journal= {arXiv preprint arXiv:0811.3375},
year = {2011}
}