In mathematica code, I have a table of quantities that involve subscripts and superscripts. I need to put short text titles in the first row of the table. Suppose I have index1="A", index2="B", and index3="C", where A, B, and C are undefined symbols. (Later I might change A, B, and C to different symbols like $\mu,\nu$, and $\gamma $.)
Question 1. I desire an output of $\Gamma_{BC}^A \dot{x}^B\dot{x}^C$. I want to use an expression using index1, index2, and index3. I have tried things like ToExpression["$\Gamma_{index2 index3}^{index1}\dot{x}^{index2} \dot{x}^{index3}$"].
Question 2. I desire an output of $\partial_B$ $g_{CA}$ + $\partial_C$ $g_{AB}$. As above, I have tried many variations of $\partial_{index2}$ $g_{index3 index1}$ + $\partial_{index3}$ g$_{index1 index2}$.