Communications in Mathematical Physics

, Volume 301, Issue 1, pp 1–21 | Cite as

Quantum Symmetries and Exceptional Collections

  • Robert L. Karp


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 \({{\mathbb Z}_5}\) symmetry at the Gepner point of the quintic, and the associated D-brane monodromy identity.


Modulus Space Toric Variety Exceptional Divisor Gauge Linear Sigma Model Orbifold Point 
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© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Department of PhysicsVirginia TechBlacksburgUSA
  2. 2.Department of Systems BiologyHarvard Medical SchoolBostonUSA

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