We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics.
The phase diagram of the theory depends on both the temperature $T$ and the deformation parameter $\mu$, through the dimensionless ratios $T / \mu$ and $g \equiv \lambda / \mu^3$ with $\lambda$ the 't Hooft coupling.
Considering couplings $g$ that span three orders of magnitude, we reproduce the weak-coupling perturbative prediction for the deconfinement $T / \mu$ and approach recent large-$N$ dual supergravity analyses in the strong-coupling limit.
We are carrying out calculations with lattice sizes up to $N_{\tau} = 24$ and numbers of colors up to $N = 16$, to allow initial checks of the large-$N$ continuum limit.
Thermal phase structure of a supersymmetric matrix model · Around
Built on
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A Conjecture”, Phys. Rev. D55 (1997) 5112–5128 [ hep-th/9610043 ]
D. E. Berenstein, J. M. Maldacena and H. S. Nastase, “Strings in flat space and pp waves from 𝒩 = 4 \mathcal{N}=4 super-Yang–Mills”, JHEP 0204 (2002) 013 [ hep-th/0202021 ]
2002
Earlier work this paper cites.
M. Spradlin, M. Van Raamsdonk and A. Volovich, “Two-loop partition function in the planar plane-wave matrix model”, Phys. Lett. B603 (2004) 239–248 [ hep-th/0409178 ]