We argue that the large-N strong/weak phase transition is a generic phenomenon in a finite temperature supersymmetric Yang-Mills theory of maximal supersymmetry. N = 4, D= 4 SYM is the canonical example, where we also argue that the large-N Hawking-Page phase transition disappears for a sufficiently small coupling. The Hawking-Page transition temperature is lowered by he first #alpha#' correction. Physically, the strong/weak phase transition is identified with the correspondence point of Horowitz and Polchinski. We also try to construct toy models to demonstrate the large-N phase transitions, with limited success.
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机译：我们认为，在最大超对称性的有限温度超对称Yang-Mills理论中，大N强/弱相变是一种普遍现象。 N = 4，D = 4 SYM是一个典型的例子，在此我们还认为，对于足够小的耦合，大的N Hawking-Page相变消失了。通过首先进行“α”校正，降低了霍金-佩奇的转变温度。从物理上讲，强/弱相变由Horowitz和Polchinski的对应点确定。我们还尝试构建玩具模型来演示大N相过渡，但效果有限。
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