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look for a solution where B1=0, i.e. a scalar of conformal \ dimension one.\ \>", "Text", CellChangeTimes->{{3.4434515030713167`*^9, 3.443451533170382*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"mapitone", "[", " ", RowBox[{"xseed_", ",", " ", "yseed_"}], "]"}], " ", ":=", " ", RowBox[{"Join", "[", RowBox[{ RowBox[{"{", RowBox[{"xx", "\[Rule]", "xseed"}], "}"}], ",", RowBox[{"FindRoot", "[", RowBox[{ RowBox[{ RowBox[{ RowBox[{"myfalloffs", "[", RowBox[{"xseed", ",", "yy"}], "]"}], "[", RowBox[{"[", "2", "]"}], "]"}], "\[Equal]", "0"}], ",", " ", RowBox[{"{", RowBox[{"yy", ",", "yseed"}], "}"}], ",", " ", RowBox[{"WorkingPrecision", "\[Rule]", "20"}]}], "]"}]}], "]"}]}]], "Input", CellChangeTimes->{{3.443451380872813*^9, 3.443451408030113*^9}, { 3.44345161597952*^9, 3.443451624967102*^9}, {3.443451907305518*^9, 3.443451932443515*^9}}], Cell["\<\ A command to look for a solution where A1=0, i.e. a scalar of conformal \ dimension two.\ \>", "Text", CellChangeTimes->{{3.443451545187522*^9, 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In this data structure, xx and yy refer \ to the horizon values for psi and phi respectively. Thus by looking for a \ solution with a small value of xx, we are looking for a solution near the \ phase transition. The next four numbers in an item in the list describe the \ near boundary behavior of psi and phi.\ \>", "Text", CellChangeTimes->{{3.443459887671562*^9, 3.443459907941935*^9}, { 3.443550340641028*^9, 3.443550425291212*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"y0", " ", "=", RowBox[{"11", "/", "10"}]}], ";", RowBox[{"mysweep", " ", "=", " ", RowBox[{"Table", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"temprels", " ", "=", " ", RowBox[{"mapitone", "[", RowBox[{"ii", ",", " ", "y0"}], "]"}]}], ",", " ", RowBox[{"y0", " ", "=", " ", RowBox[{"yy", " ", "/.", " ", "temprels"}]}]}], " ", "}"}], "[", RowBox[{"[", "1", "]"}], "]"}], ",", " ", RowBox[{ RowBox[{"myfalloffs", "[", RowBox[{"xx", ",", "yy"}], "]"}], "/.", " ", "temprels"}]}], "}"}], ",", " ", RowBox[{"{", RowBox[{"ii", ",", RowBox[{"1", "/", "100"}], ",", " ", RowBox[{"1", "/", "10"}], ",", RowBox[{"1", "/", "100"}]}], "}"}]}], "]"}]}], ";", RowBox[{"InputForm", "[", RowBox[{ 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1.12001290825758601925}, {0.039095918998004095583, 0, -1.12066450318131381936, 1.1217848630797973}}, {{xx -> 1/25, yy -> 1.11968317330358100938}, {0.052129079337674902393, 0, -1.12084141170848991796, 1.122833224963956355}}, {{xx -> 1/20, yy -> 1.11925937737374263607}, {0.065163256662464964077, 0, -1.12106881841641278493, 1.124181151729514106}}, {{xx -> 3/50, yy -> 1.11874163036027509509}, {0.078198704465277758064, 0, -1.12134668620011704952, 1.125828666143914949}}, {{xx -> 7/100, yy -> 1.11813007086186424226}, {0.091235675727179034641, 0, -1.12167497408173772184, 1.127775800254328124}}, {{xx -> 2/25, yy -> 1.11742485452851989931}, {0.104274422477319895109, 0, -1.12205362562152434042, 1.130022583606975041}}, {{xx -> 9/100, yy -> 1.11662617125957554127}, {0.117315196694507859769, 0, -1.12248258616190880166, 1.13256906058130615}}, {{xx -> 1/10, yy -> 1.11573422660422469723}, {0.130358248896834924027, 0, -1.12296178433748317483, 1.135415271512116147}}}\ \>", "Output", 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{{xx -> 9/100, yy -> 4.05590357871011301668}, {0, 0.26546724629561103419, -4.0703712870401096666, 4.08090231141127801}}, {{xx -> 1/10, yy -> 4.05407294498995457448}, {0, 0.29506134142371051644, -4.0719333700112487181, 4.08493848763818518}}}\ \>", "Output", CellChangeTimes->{3.4434598991675873`*^9, 3.443550466831135*^9}] }, Open ]], Cell[CellGroupData[{ Cell["Data for the solutions", "Section", CellChangeTimes->{{3.443459199746215*^9, 3.443459202566156*^9}}], Cell["\<\ xx and yy are the constants giving the horizon behavior of psi and phi. 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