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 Apr 16 awarded Enthusiast Apr 8 awarded Popular Question Mar 31 awarded Disciplined May 28 accepted What is conformal gauge? May 22 comment What is conformal gauge? Thanks for the answer! Jan 17 asked 't Hooft many instanton solutions Nov 25 awarded Notable Question Oct 29 awarded Yearling Oct 27 revised What is conformal gauge? added 45 characters in body Oct 27 revised What is conformal gauge? added 9 characters in body Oct 26 comment What is conformal gauge? Thanks for the reference, I will chack it a bit later ;) Oct 26 comment What is conformal gauge? I mean that they do them while analyzing CGHS model and similar model. I do not understand the following thing: "why are we satisfied when we obtain the solutions for metrics and fields in conformal gauge for action, which we get after weyl transformation etc?" Because action and equations in, for example, CGHS model has no invariance under weyl transformation and conformal gauge, hasn't it? Oct 26 comment What is conformal gauge? It seems to me that you haven't answer my question. I asked about the role and meaning of these transformations in gravity. The connection is not obvious. Oct 26 asked What is conformal gauge? Oct 8 accepted Two expressions for topological instanton number Oct 8 comment Two expressions for topological instanton number Btw, I think you meant $-9 dA\wedge A\wedge A$ instead of $-9 A\wedge A\wedge A$, right? (: Oct 6 comment Two expressions for topological instanton number Thank you for your answer! Also I've learned how to write "trace" in the right way from it ;) Oct 6 revised Two expressions for topological instanton number added 1 character in body Oct 6 asked Two expressions for topological instanton number Sep 17 comment Poincare invariant Lagrangians In general, as far as I know, fields are maps from manifold M to manifold N. What do you mean saying "function of $\phi(x)$"? Do you mean the image of this map in some chosen local coordinates on N?