Brane Tilings and Their Applications
arXiv:0803.4474 · doi:10.1002/prop.200810536
Abstract
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: math.AG/0605780, math.AG/0606548, hep-th/0702049, math.AG/0703267, arXiv:0801.3528 and some works in progress.
208 pages, 92 figures, based on master's thesis; v2: minor corrections, to appear in Fortschr. Phys
References in corpus (16)
- Brane Tilings
- Gauge Mediation Simplified
- D-brane Instantons on the T^6/Z_3 orientifold
- Counting Chiral Operators in Quiver Gauge Theories
- Simple Scheme for Gauge Mediation
- D-brane Construction for Non-Abelian Walls
- The Minimal Quiver Standard Model
- Gauge Mediation in String Theory
- Exactly marginal deformations of quiver gauge theories as seen from brane tilings
- Crystal Melting and Black Holes
- AdS/CFT with Tri-Sasakian Manifolds
- Lattice Formulation of Two Dimensional Topological Field Theory
- Cascading Quivers from Decaying D-branes
- Finite N Index and Angular Momentum Bound from Gravity
- Near-flat space limit and Einstein manifolds
- On Dimer Models and Closed String Theories
Cited by in corpus (6)
- Crystal Melting and Toric Calabi-Yau Manifolds
- N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
- Intersecting Solitons, Amoeba and Tropical Geometry
- Symmetry-breaking vacua and baryon condensates in AdS/CFT
- E3-brane instantons and baryonic operators for D3-branes on toric singularities
- Surface operators in the Klebanov-Witten theory