Gauge theories from toric geometry and brane tilings
We provide a general set of rules for extracting the data defining a quiver gauge theory from a given toric Calabi-Yau singularity. Our method combines information from the geometry and topology of Sasaki-Einstein manifolds, AdS/CFT, dimers, and brane tilings. We explain how the field content, quant...
| Huvudupphovsmän: | , , , , , |
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| Materialtyp: | Journal article |
| Språk: | English |
| Publicerad: |
2006
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| _version_ | 1826279155498483712 |
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| author | Franco, S Hanany, A Martelli, D Sparks, J Vegh, D Wecht, B |
| author_facet | Franco, S Hanany, A Martelli, D Sparks, J Vegh, D Wecht, B |
| author_sort | Franco, S |
| collection | OXFORD |
| description | We provide a general set of rules for extracting the data defining a quiver gauge theory from a given toric Calabi-Yau singularity. Our method combines information from the geometry and topology of Sasaki-Einstein manifolds, AdS/CFT, dimers, and brane tilings. We explain how the field content, quantum numbers, and superpotential of a superconformal gauge theory on D3-branes probing a toric Calabi-Yau singularity can be deduced. The infinite family of toric singularities with known horizon Sasaki-Einstein manifolds L a,b,c is used to illustrate these ideas. We construct the corresponding quiver gauge theories, which may be fully specified by giving a tiling of the plane by hexagons with certain gluing rules. As checks of this construction, we perform a-maximisation as well as Z-minimisation to compute the exact R-charges of an arbitrary such quiver. We also examine a number of examples in detail, including the infinite subfamily La,b,a, whose smallest member is the Suspended Pinch Point. © SISSA 2006. |
| first_indexed | 2024-03-06T23:54:34Z |
| format | Journal article |
| id | oxford-uuid:73c1adc3-be45-48ec-9429-30f636da6fa4 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:54:34Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:73c1adc3-be45-48ec-9429-30f636da6fa42022-03-26T19:58:31ZGauge theories from toric geometry and brane tilingsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:73c1adc3-be45-48ec-9429-30f636da6fa4EnglishSymplectic Elements at Oxford2006Franco, SHanany, AMartelli, DSparks, JVegh, DWecht, BWe provide a general set of rules for extracting the data defining a quiver gauge theory from a given toric Calabi-Yau singularity. Our method combines information from the geometry and topology of Sasaki-Einstein manifolds, AdS/CFT, dimers, and brane tilings. We explain how the field content, quantum numbers, and superpotential of a superconformal gauge theory on D3-branes probing a toric Calabi-Yau singularity can be deduced. The infinite family of toric singularities with known horizon Sasaki-Einstein manifolds L a,b,c is used to illustrate these ideas. We construct the corresponding quiver gauge theories, which may be fully specified by giving a tiling of the plane by hexagons with certain gluing rules. As checks of this construction, we perform a-maximisation as well as Z-minimisation to compute the exact R-charges of an arbitrary such quiver. We also examine a number of examples in detail, including the infinite subfamily La,b,a, whose smallest member is the Suspended Pinch Point. © SISSA 2006. |
| spellingShingle | Franco, S Hanany, A Martelli, D Sparks, J Vegh, D Wecht, B Gauge theories from toric geometry and brane tilings |
| title | Gauge theories from toric geometry and brane tilings |
| title_full | Gauge theories from toric geometry and brane tilings |
| title_fullStr | Gauge theories from toric geometry and brane tilings |
| title_full_unstemmed | Gauge theories from toric geometry and brane tilings |
| title_short | Gauge theories from toric geometry and brane tilings |
| title_sort | gauge theories from toric geometry and brane tilings |
| work_keys_str_mv | AT francos gaugetheoriesfromtoricgeometryandbranetilings AT hananya gaugetheoriesfromtoricgeometryandbranetilings AT martellid gaugetheoriesfromtoricgeometryandbranetilings AT sparksj gaugetheoriesfromtoricgeometryandbranetilings AT veghd gaugetheoriesfromtoricgeometryandbranetilings AT wechtb gaugetheoriesfromtoricgeometryandbranetilings |