F-theory and \(N = 1\) quivers from polyvalent geometry

DOI10.1088/0253-6102/65/4/492zbMATH Open1337.81101arXiv1507.06241OpenAlexW3105787822MaRDI QIDQ2811856

Publication date: 8 June 2016

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Abstract: We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-K"{a}hler structure. Using intersecting complex toric surfaces, we derive a class of N=1 quivers with charged fundamental matter placed on external nodes. The emphasis is on how local Calabi-Yau equations solve the corresponding physical constraints including the anomaly cancelation condition. Concretely, a linear chain of SU(N) groups with flavor symmetries has been constructed using polyvalent toric geometry.

Full work available at URL: https://arxiv.org/abs/1507.06241

zbMATH Keywords

F-theory toric geometry quiver gauge theories D7-branes in type IIB superstring

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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