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We present ongoing investigations of maximally supersymmetric Yang–-Mills ($Q = 16$ SYM) theory in three space-time dimensions. At low temperatures and large N this theory is related to black branes in higher-dimensional quantum gravity. Building on previous work that focused on the homogeneous `D2' phase of the theory, we are now exploring phase transitions between this D2 phase and the localized `D0' phase.
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Sherletov et al. (2023) studied this question.