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[FtheoryTools] Added F-theory models on all toric hypersurfaces (#3568)
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[FtheoryTools] Added F-theory models on all toric hypersurfaces
---------
Co-authored-by: Martin Bies <[email protected]>
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@emikelsons
emikelsons authored Apr 23, 2024
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77 changes: 77 additions & 0 deletions ...strassFormsCurrentlyNotDistinguishedFromHypersurfaceCounterpart/model1408_4808-1-WSF.json
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{
"model_index": "",
"arxiv_data": {
"id": "1408.4808v2",
"doi": "10.48550/arXiv.1408.4808",
"version": "2",
"discipline": "hep-th",
"link": "https://arxiv.org/abs/1408.4808v2",
"model_location": {
"section": "3",
"equation": "3.4",
"page": "18"
}
},
"journal_data": {
"doi": "10.1007/JHEP01(2015)142",
"report_numbers": ["UPR-1264-T", "CERN-PH-TH-2014-171", "BONN-TH-2014-13"],
"journal": "JHEP",
"volume": "01",
"pages": "142",
"year": "2015",
"link": "https://link.springer.com/article/10.1007/JHEP01(2015)142",
"model_location": {
"section": "3",
"equation": "3.4",
"page": "19"
}
},
"paper_metadata": {
"authors": [
"Denis Klevers",
"Damián Kaloni Mayorga Peña",
"Paul-Konstantin Oehlmann",
"Hernan Piragua",
"Jonas Reuter"
],
"title": "F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches",
"description": "All Calabi-Yau manifolds with a genus-one fiber associated to the 16 reflexive 2D polyhedra F_i",
"buzzwords": ["Mordell-Weil", "reflexive polyhedra", "toric varieties", "elliptic fibrations"]
},
"model_descriptors": {
"type": "weierstrass",
"description": "F-theory hypersurface model with fiber ambient space F_1",
"gauge_algebra": ["0"],
"discrete_factors": ["Z3"]
},
"model_data": {
"base_dim": 3,
"model_sections": ["s7", "s9"],
"base_coordinates": ["s7", "s9", "s1", "s2", "s3", "s4", "s5", "s6", "s8", "s10"],
"f": "1//48*(-(s6^2 - 4*(s5*s7 + s3*s8 + s2*s9))^2 + 24*(-s6*(s10*s2*s3 - 9*s1*s10*s4 + s4*s5*s8 + s2*s7*s8 + s3*s5*s9 + s1*s7*s9) + 2*(s10*s3^2*s5 + s1*s7^2*s8 + s2*s3*s8*s9 + s1*s3*s9^2 + s7*(s10*s2^2 - 3*s1*s10*s3 + s3*s5*s8 + s2*s5*s9) + s4*(-3*s10*s2*s5 + s2*s8^2 + (s5^2 - 3*s1*s8)*s9))))",
"g": "1//864*((s6^2 - 4*(s5*s7 + s3*s8 + s2*s9))^3 - 36*(s6^2 - 4*(s5*s7 + s3*s8 + s2*s9))*(-s6*(s10*s2*s3 - 9*s1*s10*s4 + s4*s5*s8 + s2*s7*s8 + s3*s5*s9 + s1*s7*s9) + 2*(s10*s3^2*s5 + s1*s7^2*s8 + s2*s3*s8*s9 + s1*s3*s9^2 + s7*(s10*s2^2 - 3*s1*s10*s3 + s3*s5*s8 + s2*s5*s9) + s4*(-3*s10*s2*s5 + s2*s8^2 + (s5^2 - 3*s1*s8)*s9))) + 216*((s10*s2*s3 - 9*s1*s10*s4 + s4*s5*s8 + s2*s7*s8 + s3*s5*s9 + s1*s7*s9)^2 + 4*(-s1*s10^2*s3^3 - s1^2*s10*s7^3 - s4^2*(27*s1^2*s10^2 + s10*s5^3 + s1*(-9*s10*s5*s8 + s8^3)) + s10*s3^2*(-s2*s5 + s1*s6)*s9 - s1*s3^2*s8*s9^2 - s7^2*(s10*(s2^2*s5 - 2*s1*s3*s5 - s1*s2*s6) + s1*s8*(s3*s8 + s2*s9)) - s3*s7*(s10*(-s2*s5*s6 + s1*s6^2 + s2^2*s8 + s3*(s5^2 - 2*s1*s8) + s1*s2*s9) + s9*(s2*s5*s8 - s1*s6*s8 + s1*s5*s9)) + s4*(-s10^2*(s2^3 - 9*s1*s2*s3) + s10*(s6*(-s2*s5*s6 + s1*s6^2 + s2^2*s8) + s3*(s5^2*s6 - s2*s5*s8 - 3*s1*s6*s8)) + (s10*(2*s2^2*s5 + 3*s1*s3*s5 - 3*s1*s2*s6) + s8*(-s3*s5^2 + s2*s5*s6 - s1*s6^2 - s2^2*s8 + 2*s1*s3*s8))*s9 + (-s2*s5^2 + s1*s5*s6 + 2*s1*s2*s8)*s9^2 - s1^2*s9^3 + s7*(s10*(2*s2*s5^2 - 3*s1*s5*s6 + 3*s1*s2*s8 + 9*s1^2*s9) - s8*(s2*s5*s8 - s1*s6*s8 + s1*s5*s9))))))",
"auxiliary_base_grading": [
[0, 0, 3, 2, 1, 0, 2, 1, 1, 0],
[1, 0, -1, 0, 1, 2, -1, 0, -1, -1],
[0, 1, -1, -1, -1, -1, 0, 0, 1, 2]
]
},
"associated_models": [
"model1408_4808-2-WSF.json",
"model1408_4808-3-WSF.json",
"model1408_4808-4-WSF.json",
"model1408_4808-5-WSF.json",
"model1408_4808-6-WSF.json",
"model1408_4808-7-WSF.json",
"model1408_4808-8-WSF.json",
"model1408_4808-9-WSF.json",
"model1408_4808-10-WSF.json",
"model1408_4808-11-WSF.json",
"model1408_4808-12-WSF.json",
"model1408_4808-13-WSF.json",
"model1408_4808-14-WSF.json",
"model1408_4808-15-WSF.json",
"model1408_4808-16-WSF.json"
],
"related_models": ["model1408_4808-1.json"]
}
77 changes: 77 additions & 0 deletions ...trassFormsCurrentlyNotDistinguishedFromHypersurfaceCounterpart/model1408_4808-10-WSF.json
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{
"model_index": "",
"arxiv_data": {
"id": "1408.4808v2",
"doi": "10.48550/arXiv.1408.4808",
"version": "2",
"discipline": "hep-th",
"link": "https://arxiv.org/abs/1408.4808v2",
"model_location": {
"section": "3",
"equation": "3.130",
"page": "62"
}
},
"journal_data": {
"doi": "10.1007/JHEP01(2015)142",
"report_numbers": ["UPR-1264-T", "CERN-PH-TH-2014-171", "BONN-TH-2014-13"],
"journal": "JHEP",
"volume": "01",
"pages": "142",
"year": "2015",
"link": "https://link.springer.com/article/10.1007/JHEP01(2015)142",
"model_location": {
"section": "3",
"equation": "3.129",
"page": "62"
}
},
"paper_metadata": {
"authors": [
"Denis Klevers",
"Damián Kaloni Mayorga Peña",
"Paul-Konstantin Oehlmann",
"Hernan Piragua",
"Jonas Reuter"
],
"title": "F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches",
"description": "All Calabi-Yau manifolds with a genus-one fiber associated to the 16 reflexive 2D polyhedra F_i",
"buzzwords": ["Mordell-Weil", "reflexive polyhedra", "toric varieties", "elliptic fibrations"]
},
"model_descriptors": {
"type": "weierstrass",
"description": "F-theory hypersurface model with fiber ambient space F_10",
"gauge_algebra": ["su2","su3"]
},
"model_data": {
"base_dim": 3,
"model_sections": ["s5", "s2"],
"base_coordinates": ["s5", "s2", "s1", "s3", "s4", "s6", "s8"],
"f": "1//48*(48*s2*s4*s8^2 - ( - s6^2 + 4*s3*s8)^2 - 24*s4*s5*s6*s8)",
"g": "1//864*((2*s2*s4*s8^2 - s4*s5*s6*s8)*( - 36*s6^2 + 144*s3*s8) - ( - s6^2 + 4*s3*s8)^3 - 864*s1*s4^2*s8^3 + 216*s4^2*s5^2*s8^2)",
"auxiliary_base_grading": [
[0, 0, -1, 1, 2, 1, 1],
[1, 0, 1, -1, -2, 0, 1],
[0, 1, 1, 1, 1, 0, -1]
],
"zero_section": ["0", "0", "1"]
},
"associated_models": [
"model1408_4808-1-WSF.json",
"model1408_4808-2-WSF.json",
"model1408_4808-3-WSF.json",
"model1408_4808-4-WSF.json",
"model1408_4808-5-WSF.json",
"model1408_4808-6-WSF.json",
"model1408_4808-7-WSF.json",
"model1408_4808-8-WSF.json",
"model1408_4808-9-WSF.json",
"model1408_4808-11-WSF.json",
"model1408_4808-12-WSF.json",
"model1408_4808-13-WSF.json",
"model1408_4808-14-WSF.json",
"model1408_4808-15-WSF.json",
"model1408_4808-16-WSF.json"
],
"related_models": ["model1408_4808-10.json"]
}
85 changes: 85 additions & 0 deletions ...trassFormsCurrentlyNotDistinguishedFromHypersurfaceCounterpart/model1408_4808-11-WSF.json
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{
"model_index": "",
"arxiv_data": {
"id": "1408.4808v2",
"doi": "10.48550/arXiv.1408.4808",
"version": "2",
"discipline": "hep-th",
"link": "https://arxiv.org/abs/1408.4808v2",
"model_location": {
"section": "3",
"equation": "3.142",
"page": "67"
}
},
"journal_data": {
"doi": "10.1007/JHEP01(2015)142",
"report_numbers": ["UPR-1264-T", "CERN-PH-TH-2014-171", "BONN-TH-2014-13"],
"journal": "JHEP",
"volume": "01",
"pages": "142",
"year": "2015",
"link": "https://link.springer.com/article/10.1007/JHEP01(2015)142",
"model_location": {
"section": "3",
"equation": "3.141",
"page": "67"
}
},
"paper_metadata": {
"authors": [
"Denis Klevers",
"Damián Kaloni Mayorga Peña",
"Paul-Konstantin Oehlmann",
"Hernan Piragua",
"Jonas Reuter"
],
"title": "F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches",
"description": "All Calabi-Yau manifolds with a genus-one fiber associated to the 16 reflexive 2D polyhedra F_i",
"buzzwords": ["Mordell-Weil", "reflexive polyhedra", "toric varieties", "elliptic fibrations"]
},
"model_descriptors": {
"type": "weierstrass",
"description": "F-theory hypersurface model with fiber ambient space F_11",
"gauge_algebra": ["su3","su2","u1"],
"global_gauge_quotients": [["Z3", [1, 3]], ["Z2", [2, 3]]]
},
"model_data": {
"base_dim": 3,
"model_sections": ["s5", "s9"],
"base_coordinates": ["s5", "s9", "s1", "s2", "s3", "s6"],
"f": "1//48*(48*s1*s3*s9^2 - ( - s6^2 + 4*s2*s9)^2 - 24*s3*s5*s6*s9)",
"g": "1//864*((2*s1*s3*s9^2 - s3*s5*s6*s9)*( - 36*s6^2 + 144*s2*s9) - ( - s6^2 + 4*s2*s9)^3 + 216*s3^2*s5^2*s9^2)",
"auxiliary_base_grading": [
[0, 0, 1, 2, 3, 1],
[1, 0, 1, 0, -1, 0],
[0, 1, -1, -1, -1, 0]
],
"zero_section": ["0", "0", "1"],
"generating_sections": [
[
"1//12*(12*s1^2*s9^6 + s9^5*(8*s2*s5^2 - 12*s1*s6*s5) + s5^2*s6^2*s9^4)",
"1//2*(2*s1^3*s9^9 + s1*s9^8*(2*s2*s5^2 - 3*s1*s6*s5) + s5^2*s9^7*(s3*s5^2 - s2*s5*s6 + s1*s6^2))",
"s5*s9^2"
]
]
},
"associated_models": [
"model1408_4808-1-WSF.json",
"model1408_4808-2-WSF.json",
"model1408_4808-3-WSF.json",
"model1408_4808-4-WSF.json",
"model1408_4808-5-WSF.json",
"model1408_4808-6-WSF.json",
"model1408_4808-7-WSF.json",
"model1408_4808-8-WSF.json",
"model1408_4808-9-WSF.json",
"model1408_4808-10-WSF.json",
"model1408_4808-12-WSF.json",
"model1408_4808-13-WSF.json",
"model1408_4808-14-WSF.json",
"model1408_4808-15-WSF.json",
"model1408_4808-16-WSF.json"
],
"related_models": ["model1408_4808-11.json"]
}
90 changes: 90 additions & 0 deletions ...trassFormsCurrentlyNotDistinguishedFromHypersurfaceCounterpart/model1408_4808-12-WSF.json
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{
"model_index": "",
"arxiv_data": {
"id": "1408.4808v2",
"doi": "10.48550/arXiv.1408.4808",
"version": "2",
"discipline": "hep-th",
"link": "https://arxiv.org/abs/1408.4808v2",
"model_location": {
"section": "3",
"equation": "3.155",
"page": "70"
}
},
"journal_data": {
"doi": "10.1007/JHEP01(2015)142",
"report_numbers": ["UPR-1264-T", "CERN-PH-TH-2014-171", "BONN-TH-2014-13"],
"journal": "JHEP",
"volume": "01",
"pages": "142",
"year": "2015",
"link": "https://link.springer.com/article/10.1007/JHEP01(2015)142",
"model_location": {
"section": "3",
"equation": "3.154",
"page": "70"
}
},
"paper_metadata": {
"authors": [
"Denis Klevers",
"Damián Kaloni Mayorga Peña",
"Paul-Konstantin Oehlmann",
"Hernan Piragua",
"Jonas Reuter"
],
"title": "F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches",
"description": "All Calabi-Yau manifolds with a genus-one fiber associated to the 16 reflexive 2D polyhedra F_i",
"buzzwords": ["Mordell-Weil", "reflexive polyhedra", "toric varieties", "elliptic fibrations"]
},
"model_descriptors": {
"type": "weierstrass",
"description": "F-theory hypersurface model with fiber ambient space F_12",
"gauge_algebra": ["su2","su2","u1","u1"],
"global_gauge_quotients": [["Z2", [1, 3]], ["Z2", [2, 4]]]
},
"model_data": {
"base_dim": 3,
"model_sections": ["s7", "s9"],
"base_coordinates": ["s7", "s9", "s1", "s2", "s5", "s6"],
"f": "1//48*(48*s2*s5*s7*s9 - 24*s1*s6*s7*s9 - ( - s6^2 + 4*s2*s9 + 4*s5*s7)^2)",
"g": "1//864*(216*s1^2*s7^2*s9^2 - ( - s6^2 + 4*s2*s9 + 4*s5*s7)^3 - (s1*s6*s7*s9 - 2*s2*s5*s7*s9)*( - 36*s6^2 + 144*s2*s9 + 144*s5*s7))",
"auxiliary_base_grading": [
[0, 0, 3, 2, 2, 1],
[1, 0, -1, 0, -1, 0],
[0, 1, -1, -1, 0, 0]
],
"zero_section": ["0", "0", "1"],
"generating_sections": [
[
"1//12*(s6^2 - 4*s5*s7 - 4*s2*s9)",
"1//2*s1*s7*s9",
"1"
],
[
"1//12*(s9^2*(s6^2 - 4*s2*s9) + 8*s5*s7*s9^2)",
"1//2*s7*s9^2*(s1*s9^2 - s5*s6*s9)",
"s9"
]
]
},
"associated_models": [
"model1408_4808-1-WSF.json",
"model1408_4808-2-WSF.json",
"model1408_4808-3-WSF.json",
"model1408_4808-4-WSF.json",
"model1408_4808-5-WSF.json",
"model1408_4808-6-WSF.json",
"model1408_4808-7-WSF.json",
"model1408_4808-8-WSF.json",
"model1408_4808-9-WSF.json",
"model1408_4808-10-WSF.json",
"model1408_4808-11-WSF.json",
"model1408_4808-13-WSF.json",
"model1408_4808-14-WSF.json",
"model1408_4808-15-WSF.json",
"model1408_4808-16-WSF.json"
],
"related_models": ["model1408_4808-12.json"]
}
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