Properly ordered dimers, R -charges, and an efficient inverse algorithm
<p style="text-align:justify;">The $\mathcal{N}=1$ superconformal field theories that arise in AdS-CFT from placing a stack of D3-branes at the singularity of a toric Calabi-Yau threefold can be described succinctly by dimer models. We present an efficient algorithm for constructing...
| Main Author: | |
|---|---|
| Format: | Journal article |
| Published: |
IOP Publishing
2008
|
| _version_ | 1797093768387624960 |
|---|---|
| author | Gulotta, D |
| author_facet | Gulotta, D |
| author_sort | Gulotta, D |
| collection | OXFORD |
| description | <p style="text-align:justify;">The $\mathcal{N}=1$ superconformal field theories that arise in AdS-CFT from placing a stack of D3-branes at the singularity of a toric Calabi-Yau threefold can be described succinctly by dimer models. We present an efficient algorithm for constructing a dimer model from the geometry of the Calabi-Yau. Since not all dimers produce consistent field theories, we perform several consistency checks on the field theories produced by our algorithm: they have the correct number of gauge groups, their cubic anomalies agree with the Chern-Simons coefficients in the AdS dual, and all gauge invariant chiral operators satisfy the unitarity bound. We also give bounds on the ratio of the central charge of the theory to the area of the toric diagram. To prove these results, we introduce the concept of a properly ordered dimer.</p> |
| first_indexed | 2024-03-07T04:05:01Z |
| format | Journal article |
| id | oxford-uuid:c5d9eb59-1dc9-476c-974d-5b3f5d9b4bed |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:05:01Z |
| publishDate | 2008 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:c5d9eb59-1dc9-476c-974d-5b3f5d9b4bed2022-03-27T06:34:03ZProperly ordered dimers, R -charges, and an efficient inverse algorithmJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c5d9eb59-1dc9-476c-974d-5b3f5d9b4bedSymplectic Elements at OxfordIOP Publishing2008Gulotta, D <p style="text-align:justify;">The $\mathcal{N}=1$ superconformal field theories that arise in AdS-CFT from placing a stack of D3-branes at the singularity of a toric Calabi-Yau threefold can be described succinctly by dimer models. We present an efficient algorithm for constructing a dimer model from the geometry of the Calabi-Yau. Since not all dimers produce consistent field theories, we perform several consistency checks on the field theories produced by our algorithm: they have the correct number of gauge groups, their cubic anomalies agree with the Chern-Simons coefficients in the AdS dual, and all gauge invariant chiral operators satisfy the unitarity bound. We also give bounds on the ratio of the central charge of the theory to the area of the toric diagram. To prove these results, we introduce the concept of a properly ordered dimer.</p> |
| spellingShingle | Gulotta, D Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title | Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title_full | Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title_fullStr | Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title_full_unstemmed | Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title_short | Properly ordered dimers, R -charges, and an efficient inverse algorithm |
| title_sort | properly ordered dimers r charges and an efficient inverse algorithm |
| work_keys_str_mv | AT gulottad properlyordereddimersrchargesandanefficientinversealgorithm |