Properly ordered dimers,<i>R</i>-charges, and an efficient inverse algorithm

Gulotta, Daniel R.

doi:10.1088/1126-6708/2008/10/014

Cited by 73 publications

(99 citation statements)

References 34 publications

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“…The dimer can be JHEP05(2014)001 obtained from the toric diagram using various inverse algorithms (e.g. [43][44][45]). Numbered faces in the dimer correspond to gauge groups, common nodes of faces to bi-fundamental matter, and the "±" faces correspond to superpotential terms.…”

Section: Visible Sector D-branesmentioning

confidence: 99%

Explicit de Sitter flux vacua for global string models with chiral matter

Cicoli

Klevers

Krippendorf³

et al. 2014

J. High Energ. Phys.

137

222

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Abstract:We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kähler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric geometry we construct Calabi-Yau manifolds with del Pezzo singularities. D-branes located at such singularities can support the Standard Model gauge group and matter content or some close extensions. In order to control complex structure moduli stabilisation we consider CalabiYau manifolds which exhibit a discrete symmetry that reduces the effective number of complex structure moduli. We calculate the corresponding periods in the symplectic basis of invariant three-cycles and find explicit flux vacua for concrete examples. We compute the values of the flux superpotential and the string coupling at these vacua. Starting from these explicit complex structure solutions, we obtain AdS and dS minima where the Kähler moduli are stabilised by a mixture of D-terms, non-perturbative and perturbative α ′ corrections as in the LARGE Volume Scenario. In the considered example the visible sector lives at a dP 6 singularity which can be higgsed to the phenomenologically interesting class of models at the dP 3 singularity.

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Section: Visible Sector D-branesmentioning

confidence: 99%

Explicit de Sitter flux vacua for global string models with chiral matter

Cicoli

Klevers

Krippendorf³

et al. 2014

J. High Energ. Phys.

137

222

View full text Add to dashboard Cite

show abstract

“…It is of great interest to associate to each worldvolume theory the corresponding mesonic moduli space. For the purpose of a self-contained discussion, a brief review on the forward algorithm [12,77] which translates the gauge theory information into toric data is provided below. Quiver Q.…”

Section: The Brane Tiling and The Forward Algorithmmentioning

confidence: 99%

Brane tilings and reflexive polygons

Hanany

Seong

2012

Fortschritte der Physik

106

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Reflexive polygons have attracted great interest both in mathematics and in physics. This paper discusses a new aspect of the existing study in the context of quiver gauge theories. These theories are 4d supersymmetric worldvolume theories of D3 branes with toric Calabi-Yau moduli spaces that are conveniently described with brane tilings. We find all 30 theories corresponding to the 16 reflexive polygons, some of the theories being toric (Seiberg) dual to each other. The mesonic generators of the moduli spaces are identified through the Hilbert series. It is shown that the lattice of generators is the dual reflexive polygon of the toric diagram. Thus, the duality forms pairs of quiver gauge theories with the lattice of generators being the toric diagram of the dual and vice versa.

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“…Let Z be a weak toric Fano surface, and denote by X = tot(ω Z ) the total space of its canonical bundle. As discussed in [44], there is a consistent brane tiling corresponding to Z (see also [36,71]). Furthermore, the arguments of [45] imply that M θ coincides with X for a particular choice of the GIT parameter θ.…”

Section: Thementioning

confidence: 84%

“…In order to extract the data of the effective quiver gauge theory from the geometry of Z, several procedures have been developed in [26,27,29,30,36,38], most notably the fast inverse algorithm and the brane tiling method. These have been argued to be equivalent and hence we may restrict our attention to the more elegant latter method.…”

Section: Introductionmentioning

confidence: 99%

Remarks on quiver gauge theories from open topological string theory

Carqueville

Velez

2010

J. High Energ. Phys.

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We study effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities. Our point of view is a first principle approach via open topological string theory. This means that we construct the natural A ∞ -structure of open string amplitudes in the associated D-brane category. Then we show that it precisely reproduces the results of the method of brane tilings, without having to resort to any effective field theory computations. In particular, we prove a general and simple formula for effective superpotentials.

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Properly ordered dimers,R-charges, and an efficient inverse algorithm

Cited by 73 publications

References 34 publications

Explicit de Sitter flux vacua for global string models with chiral matter

Explicit de Sitter flux vacua for global string models with chiral matter

Brane tilings and reflexive polygons

Remarks on quiver gauge theories from open topological string theory

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