Brane tilings and their applications

By M. Yamazaki. 2008

152 citations recorded by the source corpus.

We review recent developments in the theory of brane tilings and four‐dimensional 𝒩 = 1 supersymmetric quiver gauge theories. This review consists of two parts. In part I, we describe foundations of brane tilings, emphasizing the physical interpretation of brane tilings as fivebrane systems. In part II, we discuss application of brane tilings to AdS/CFT correspondence and homological mirror symmetry. More topics, such as orientifold of brane tilings, phenomenological model building, similarities with BPS solitons in supersymmetric gauge theories, are also briefly discussed. This paper is a revised version of the author's master's thesis submitted to Department of Physics, Faculty of Science, the University of Tokyo on January 2008, and is based on his several papers and some works in progress [1–7].

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fa2484507153c3da3324baf53c57c3ee61600542

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Citations in the corpus

Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “(5)On top of that, a huge number of examples has been explicitly worked out, see [45, 46] and references therein.”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, unknown): “[43–45]).”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “The superpotential can be obtained via dimer techniques [8, 34].”