The ABJM Hagedorn Temperature from Integrability
Authors: Simon Ekhammar, Joseph A. Minahan, and Charles Thull
Preprint number: UUITP-16/23
Abstract: Using the quantum spectral curve we compute the Hagedorn temperature TH for ABJM theory in terms of the interpolating function h(λ) AdS4 where λ=N/k. At weak coupling we compute TH up to eight-loop order, showing that it is consistent with the known tree-level and two-loop results. At strong coupling we compute the dependence numerically, showing that it is consistent with expectations from supergravity and the plane-wave limit, up to an overall factor in the shift of the zero-point energy for type IIA string theory on AdS4×CP3.