[FTheoryTools] Support for literature model parameters

experimental/FTheoryTools/docs/src/literature.md

@@ -40,10 +40,12 @@ journal_volume(m::AbstractFTheoryModel)
 journal_year(m::AbstractFTheoryModel)
 literature_identifier(m::AbstractFTheoryModel)
 model_description(m::AbstractFTheoryModel)
+model_parameters(m::AbstractFTheoryModel)
 paper_authors(m::AbstractFTheoryModel)
 paper_buzzwords(m::AbstractFTheoryModel)
 paper_description(m::AbstractFTheoryModel)
 paper_title(m::AbstractFTheoryModel)
+related_literature_models(m::AbstractFTheoryModel)
 resolutions(m::AbstractFTheoryModel)
 resolution_generating_sections(m::AbstractFTheoryModel)
 resolution_zero_sections(m::AbstractFTheoryModel)
@@ -79,6 +81,7 @@ set of information. This is achieved with the following methods:
 * `has_journal_year(m::AbstractFTheoryModel)`,
 * `has_literature_identifier(m::AbstractFTheoryModel)`,
 * `has_model_description(m::AbstractFTheoryModel)`,
+* `has_model_parameters(m::AbstractFTheoryModel)`,
 * `has_paper_authors(m::AbstractFTheoryModel)`,
 * `has_paper_buzzwords(m::AbstractFTheoryModel)`,
 * `has_paper_description(m::AbstractFTheoryModel)`,

experimental/FTheoryTools/src/LiteratureModels/Models/model1109_3454.json

@@ -30,10 +30,12 @@
         "description": "SU(5)xU(1) restricted Tate model",
         "buzzwords": ["GUT model", "Tate", "U(1)", "SU(5)"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "SU(5)xU(1) restricted Tate model",
-        "gauge_algebra": ["su(5)", "u(1)"],
+        "gauge_algebra": ["su(5)", "u(1)"]
+    },
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["a1", "a21", "a32", "a43", "w"],
         "a1": "a1",

experimental/FTheoryTools/src/LiteratureModels/Models/model1208_2695-1.json

@@ -31,10 +31,12 @@
         "description": "General construction of U(1) model",
         "buzzwords": ["U(1)", "Mordell–Weil", "rational sections"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "hypersurface",
         "description": "U(1) hypersurface model",
-        "gauge_algebra": ["u1"],
+        "gauge_algebra": ["u1"]
+    },
+    "model_data": {
         "base_dim": 2,
         "base_coordinates": ["Kbar", "b", "c0", "c1", "c2", "c3"],
         "auxiliary_base_grading": [

experimental/FTheoryTools/src/LiteratureModels/Models/model1208_2695-2.json

@@ -31,10 +31,12 @@
         "description": "General construction of U(1) model",
         "buzzwords": ["U(1)", "Mordell–Weil", "rational sections"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "weierstrass",
         "description": "U(1) Weierstrass model",
-        "gauge_algebra": ["u1"],
+        "gauge_algebra": ["u1"]
+    },
+    "model_data": {
         "base_dim": 2,
         "base_coordinates": ["Kbar", "b", "c0", "c1", "c2", "c3"],
         "f": "c1 * c3 - b^2 c0 - 1//3 * c2^2",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-1.json

@@ -31,11 +31,13 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_parameters": ["k"],
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "SU(2k+1) Tate model",
-        "gauge_algebra": ["su(2k+1)"],
+        "gauge_algebra": ["su(2k+1)"]
+    },
+    "model_parameters": ["k"],
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["b1", "b2", "b3", "b4", "b6", "ζ0"],
         "a1": "b1",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-2.json

@@ -31,11 +31,13 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_parameters": ["k"],
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "SU(2k) Tate model",
-        "gauge_algebra": ["su(2k)"],
+        "gauge_algebra": ["su(2k)"]
+    },
+    "model_parameters": ["k"],
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["b1", "b2", "b3", "b4", "b6", "z0"],
         "a1": "b1",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-3.json

@@ -31,11 +31,13 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_parameters": ["k"],
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "SO(4k+2) Tate model",
-        "gauge_algebra": ["so(4k+2)"],
+        "gauge_algebra": ["so(4k+2)"]
+    },
+    "model_parameters": ["k"],
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["Kbar", "b1", "b2", "b3", "b4", "b6", "ζ0"],
         "a1": "b1*ζ0",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-4.json

@@ -31,12 +31,14 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_parameters": ["k"],
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "SO(4k+4)xU(1) Tate model",
         "comment": "The paper only states that this is an SO(4k+4) model, but setting a6 = 0 also introduces an additional generating section, so there is additionally a U(1) factor, which may not have been relevant for the authors' purposes.",
-        "gauge_algebra": ["so(4k+4)", "u(1)"],
+        "gauge_algebra": ["so(4k+4)", "u(1)"]
+    },
+    "model_parameters": ["k"],
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["Kbar", "b1", "b2", "b3", "b4", "ζ0"],
         "a1": "b1*ζ0",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-5.json

@@ -31,10 +31,12 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "E6 Tate model",
-        "gauge_algebra": ["e6"],
+        "gauge_algebra": ["e6"]
+    },
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["Kbar", "b1", "b2", "b3", "b4", "b6", "ζ0"],
         "a1": "b1*ζ0",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-6.json

@@ -31,10 +31,12 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "E7 Tate model",
-        "gauge_algebra": ["e7"],
+        "gauge_algebra": ["e7"]
+    },
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["Kbar", "b1", "b2", "b3", "b4", "b6", "ζ0"],
         "a1": "b1*ζ0",

experimental/FTheoryTools/src/LiteratureModels/Models/model1212_2949-7.json

@@ -31,10 +31,12 @@
         "description": "Systematic classification of ADE Tate models and their resolutions",
         "buzzwords": ["Tate", "classification", "resolution"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "tate",
         "description": "E8 Tate model",
-        "gauge_algebra": ["e8"],
+        "gauge_algebra": ["e8"]
+    },
+    "model_data": {
         "base_dim": 3,
         "base_coordinates": ["Kbar", "b1", "b2", "b3", "b4", "b6", "ζ0"],
         "a1": "b1*ζ0",

experimental/FTheoryTools/src/LiteratureModels/Models/model1507_05954-1.json

@@ -36,10 +36,12 @@
         "description": "General construction of U(1)xU(1) model",
         "buzzwords": ["U(1)", "Mordell–Weil", "rational sections"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "hypersurface",
         "description": "U(1)xU(1) hypersurface model",
-        "gauge_algebra": ["u1", "u1"],
+        "gauge_algebra": ["u1", "u1"]
+    },
+    "model_data": {
         "base_dim": 2,
         "base_coordinates": [
             "Kbar",

experimental/FTheoryTools/src/LiteratureModels/Models/model1507_05954-2.json

@@ -36,10 +36,12 @@
         "description": "General construction of U(1)xU(1) model",
         "buzzwords": ["U(1)", "Mordell–Weil", "rational sections"]
     },
-    "model_data": {
+    "model_descriptors": {
         "type": "weierstrass",
         "description": "U(1)xU(1) Weierstrass model",
-        "gauge_algebra": ["u1", "u1"],
+        "gauge_algebra": ["u1", "u1"]
+    },
+    "model_data": {
         "base_dim": 2,
         "base_coordinates": [
             "Kbar",

experimental/FTheoryTools/src/LiteratureModels/attributes.jl

@@ -420,6 +420,28 @@ function model_description(m::AbstractFTheoryModel)
   return get_attribute(m, :model_description)
 end
 
+@doc raw"""
+    model_parameters(m::AbstractFTheoryModel)
+
+Return the `model_parameters` of the given model.
+If no `model_parameters` are known, an error is raised.
+
+```jldoctest
+julia> m = literature_model(arxiv_id = "1212.2949", equation = "3.2", model_parameters = Dict("k" => 5))
+Assuming that the first row of the given grading is the grading under Kbar
+
+Global Tate model over a not fully specified base -- SU(2k+1) Tate model with parameter values (k = 5) based on arXiv paper 1212.2949 Eq. (3.2)
+
+julia> model_parameters(m)
+Dict{String, Int64} with 1 entry:
+  "k" => 5
+```
+"""
+function model_parameters(m::AbstractFTheoryModel)
+  @req has_model_parameters(m) "No model parameters known for this model"
+  return get_attribute(m, :model_parameters)
+end
+
 @doc raw"""
     paper_authors(m::AbstractFTheoryModel)
 
@@ -511,35 +533,34 @@ function paper_title(m::AbstractFTheoryModel)
   return get_attribute(m, :paper_title)
 end
 
-# This example cannot be used until we support literature model parameters
-# At that point, we should simply be able to uncomment this block
+@doc raw"""
+    related_literature_models(m::AbstractFTheoryModel)
 
-# @doc raw"""
-#     related_literature_models(m::AbstractFTheoryModel)
+Return a list of the unique identifiers of any `related_literature_models` of
+the given model. These are models that are introduced in the same paper as
+the given model, but that are distinct from the given model. If no
+`related_literature_models` are known, an error is raised.
 
-# Return a list of the unique identifiers any `related_literature_models` of
-# the given model. These are models that are introduced in the same paper as
-# the given model, but that are distinct from the given model. If no
-# `related_literature_models` are known, an error is raised.
+```jldoctest
+julia> m = literature_model(arxiv_id = "1212.2949", equation = "3.2", model_parameters = Dict("k" => 5))
+Assuming that the first row of the given grading is the grading under Kbar
 
-# ```jldoctest
-# julia> m = literature_model(arxiv_id = "1212.2949", equation = "3.2")
-# Weierstrass model over a not fully specified base -- U(1)xU(1) Weierstrass model based on arXiv paper 1507.05954 Eq. (A.1)
-
-# julia> related_literature_models(m)
-# 6-element Vector{String}:
-#  "1212_2949-2"
-#  "1212_2949-3"
-#  "1212_2949-4"
-#  "1212_2949-5"
-#  "1212_2949-6"
-#  "1212_2949-7"
-# ```
-# """
-# function related_literature_models(m::AbstractFTheoryModel)
-#   @req has_related_literature_models(m) "No associated models known for this model"
-#   return get_attribute(m, :related_literature_models)
-# end
+Global Tate model over a not fully specified base -- SU(2k+1) Tate model with parameter values (k = 5) based on arXiv paper 1212.2949 Eq. (3.2)
+
+julia> related_literature_models(m)
+6-element Vector{String}:
+ "1212_2949-2"
+ "1212_2949-3"
+ "1212_2949-4"
+ "1212_2949-5"
+ "1212_2949-6"
+ "1212_2949-7"
+```
+"""
+function related_literature_models(m::AbstractFTheoryModel)
+  @req has_related_literature_models(m) "No associated models known for this model"
+  return get_attribute(m, :related_literature_models)
+end
 
 @doc raw"""
     resolutions(m::AbstractFTheoryModel)

experimental/FTheoryTools/src/LiteratureModels/auxiliary.jl

@@ -28,11 +28,19 @@ function _eval_poly(E::Number, vars)
 end
 
 function eval_poly(s::String, R)
-  symR = symbols(R) # Symbol[]
-  genR = gens(R)
+  if typeof(R) <: Union{PolyRing, MPolyRing}
+    symR = symbols(R) # Symbol[]
+    genR = gens(R)
+  else
+    symR = []
+    genR = []
+  end
+
   return R(_eval_poly(Meta.parse(s), Dict(symR[i] => genR[i] for i in 1:length(symR))))
 end
 
+eval_poly(n::Number, R) = R(n)
+
 # Example
 # julia> Qx, (x1, x2) = QQ["x1", "x2"];
 #