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## Main Question or Discussion Point

Hello I am new in string theory and I am wrestling with a paper in Beltrami parametrization. Although I have spend time studying ghosts, brs symmetry etc my knowledge in differential geometry is very limited (for string theory). My question is

Do I read this from the Lagrangian?

Second question: Where can I find the full Lagrangian with terms for antighosts?

__how do I count practically the grading of an object (it is defined as it's ghost number plus form degree).__Do I read this from the Lagrangian?

Second question: Where can I find the full Lagrangian with terms for antighosts?