(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 8.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 4940228, 101051] NotebookOptionsPosition[ 4792412, 98574] NotebookOutlinePosition[ 4793022, 98596] CellTagsIndexPosition[ 4792979, 98593] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "4DN=4VMTM_offshell.nb\nNotebook Author: Kory Stiffler\nOff shell Holoraumy \ Calculations for the 4d, N=4 Vector Tensor multiplet analyzed in 2010.06124\n\ Here \[OpenCurlyDoubleQuote]off-shell\[CloseCurlyDoubleQuote] refers to the \ separate N=2 vector and tensor multiplets as these algebras close off-shell, \ where as the composite N=4 vector-tensor multiplet obviously does not.\n\ Original holoraumy done by Gabriel Hannon and Rui Xian Siew \nSome \ corrections and the 1D holoraumy were calculated by KS, this file represents \ the final check of the holoraumy presented in 2010.06124\nThe algebra is as \ in 1812.04236\nAppendix F is checked for the cross term algebra it is also \ checked the cross term holoraumy ", Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"[", RowBox[{ SubsuperscriptBox["D", "a", "i"], ",", SubsuperscriptBox[ OverscriptBox["D", "~"], "b", "j"]}], "]"}], "Fermion"}], TraditionalForm]],ExpressionUUID->"af747942-61a2-4efe-a363-8e399a51b709"], " in the X and Y bases as well as the algebra ", Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"{", RowBox[{ SubsuperscriptBox["D", "a", "i"], ",", SubsuperscriptBox[ OverscriptBox["D", "~"], "b", "j"]}], "}"}], "Fermion"}], TraditionalForm]],ExpressionUUID->"82b2495e-7fc9-4fdb-b5e5-152a0518590c"], " in W-basis.\nAppendix H results of the V-tilded 16 color, 16 x 16 \ holoraumy added 11/14/21" }], "Title", CellChangeTimes->{{3.431643447359375*^9, 3.43164348528125*^9}, { 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