English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Quiver theories arising on D3-branes at orbifold and del Pezzo singularitiesare studied using mirror symmetry. We show that the quivers for the orbifoldtheories are given by the soliton spectrum of massive 2d N=2 theory withweighted projective spaces as target. For the theories obtained from the delPezzo singularities we show that the geometry of the mirror manifold givesquiver theories related to each other by Picard-Lefschetz transformations, asubset of which are simple Seiberg duals. We also address how one indeedderives Seiberg duality on the matter content from such geometrical transitionsand how one could go beyond and obtain certain ``fractional Seiberg duals.''Moreover, from the mirror geometry for the del Pezzos arise certain Diophantineequations which classify all quivers related by Picard-Lefschetz. Some of theseDiophantine equations can also be obtained from the classification results ofCecotti-Vafa for the 2d N=2 theories.Comment: 34 pages, 11 figure

Quiver theories, soliton spectra and Picard-Lefschetz transformations