Abstract We propose a general formula for higher order corrections to the value of the Hagedorn temperature of a class of holographic confining gauge theories in the strong coupling expansion.Inspired Griddle Accessory by recent proposals in the literature, the formula combines the sigma-model string expansion with an effective approach.In particular, it includes the sigma-model contributions to the Hagedorn temperature at next-to-next-to leading order, which are computed in full generality.For N $$ mathcal{N} $$ = 4 SYM on S 3 our result agrees with numerical estimates with excellent precision.
We use the general formula to predict the value of the Hagedorn temperature Body Care Bulk Sizes for ABJM on S 2 and for the dual of purely RR global AdS 3.