Probing the Space of Toric Quiver Theories

Details Probing the Space of Toric Quiver Theories Probing the Space of Toric Quiver Theories

2009-09-15

arxiv.org/abs/0909.2879v2

JHEP 1003:1-30,2010

Physics

High Energy Physics

High Energy Physics - Theory

31+1 pages, based on Masters of Physics project at Oxford by the first author under the supervision of the second 18/10/09 - c

Scientific paper

10.1007/JHEP03(2010)007

We demonstrate a practical and efficient method for generating toric Calabi-Yau quiver theories, applicable to both D3 and M2 brane world-volume physics. A new analytic method is presented at low order parametres and an algorithm for the general case is developed which has polynomial complexity in the number of edges in the quiver. Using this algorithm, carefully implemented, we classify the quiver diagram and assign possible superpotentials for various small values of the number of edges and nodes. We examine some preliminary statistics on this space of toric quiver theories.

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