Task: Text Categorization
Input (English): Witten showed that the supergravity action for black holes in anti-de Sitter space behaves like this quantity in the dual field theory, where at high temperatures conformal invariance dictates that it scales as temperature to the fourth. One obtains it by a Legendre transformation, after which the entropy is now realized as the negative partial derivative of it with respect to temperature. It is given by - T log Z, where Z is the canonical partition function. It is equal to E minus T S. FTP, what is this thermodynamic quantity, differing from the similarly named Gibbs quantity by a PV term
Output (English): Science