The one-loop partition function of image super-Yang–Mills theory on image Original Research Article

We study weakly coupled image image super-Yang–Mills theory on image at infinite N, which has interesting thermodynamics, including a Hagedorn transition, even at zero Yang–Mills coupling. We calculate the exact one-loop partition function below the Hagedorn temperature. Our calculation employs the representation of the one-loop dilatation operator as a spin chain Hamiltonian acting on neighboring sites and a generalization of Pólyaʹs counting of necklaces (gauge-invariant operators) to include necklaces with a ‘pendant’ (an operator which acts on neighboring beads). We find that the one-loop correction to the Hagedorn temperature is image.