Quiver gauge theories: beyond reflexivity
Reflexive polygons have been extensively studied in a variety of contexts in mathematics and physics. We generalize this programme by looking at the 45 different lattice polygons with two interior points up to SL(2,ℤ) equivalence. Each corresponds to some affine toric 3-fold as a cone over a Sasaki-...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2020
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| _version_ | 1824459073132691456 |
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| author | Bao, J Colverd, GB He, Y |
| author_facet | Bao, J Colverd, GB He, Y |
| author_sort | Bao, J |
| collection | OXFORD |
| description | Reflexive polygons have been extensively studied in a variety of contexts in mathematics and physics. We generalize this programme by looking at the 45 different lattice polygons with two interior points up to SL(2,ℤ) equivalence. Each corresponds to some affine toric 3-fold as a cone over a Sasaki-Einstein 5-fold. We study the quiver gauge theories of D3-branes probing these cones, which coincide with the mesonic moduli space. The minimum of the volume function of the Sasaki-Einstein base manifold plays an important role in computing the R-charges. We analyze these minimized volumes with respect to the topological quantities of the compact surfaces constructed from the polygons. Unlike reflexive polytopes, one can have two fans from the two interior points, and hence give rise to two smooth varieties after complete resolutions, leading to an interesting pair of closely related geometries and gauge theories. |
| first_indexed | 2025-02-19T04:35:59Z |
| format | Journal article |
| id | oxford-uuid:386098da-331d-481a-a042-0dd54f00c9c9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:35:59Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:386098da-331d-481a-a042-0dd54f00c9c92025-02-04T20:14:32ZQuiver gauge theories: beyond reflexivityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:386098da-331d-481a-a042-0dd54f00c9c9EnglishJisc Publications RouterSpringer2020Bao, JColverd, GBHe, YReflexive polygons have been extensively studied in a variety of contexts in mathematics and physics. We generalize this programme by looking at the 45 different lattice polygons with two interior points up to SL(2,ℤ) equivalence. Each corresponds to some affine toric 3-fold as a cone over a Sasaki-Einstein 5-fold. We study the quiver gauge theories of D3-branes probing these cones, which coincide with the mesonic moduli space. The minimum of the volume function of the Sasaki-Einstein base manifold plays an important role in computing the R-charges. We analyze these minimized volumes with respect to the topological quantities of the compact surfaces constructed from the polygons. Unlike reflexive polytopes, one can have two fans from the two interior points, and hence give rise to two smooth varieties after complete resolutions, leading to an interesting pair of closely related geometries and gauge theories. |
| spellingShingle | Bao, J Colverd, GB He, Y Quiver gauge theories: beyond reflexivity |
| title | Quiver gauge theories: beyond reflexivity |
| title_full | Quiver gauge theories: beyond reflexivity |
| title_fullStr | Quiver gauge theories: beyond reflexivity |
| title_full_unstemmed | Quiver gauge theories: beyond reflexivity |
| title_short | Quiver gauge theories: beyond reflexivity |
| title_sort | quiver gauge theories beyond reflexivity |
| work_keys_str_mv | AT baoj quivergaugetheoriesbeyondreflexivity AT colverdgb quivergaugetheoriesbeyondreflexivity AT hey quivergaugetheoriesbeyondreflexivity |