A wide class of \(1+1\) dimensional unitary conformal field theories allows for an explicit construction of nonequilibrium “profile states” interpolating smoothly between different equilibria on the left and on the right. It has been recently established that the generating function for the full counting statistics of energy transfers in such states may be expressed in terms of the solution to a non-local Riemann–Hilbert problem. Following earlier works on the statistics of energy transfers, in particular the ones of Bernard–Doyon on the “partitioning protocol” in conformal field theory, the full counting statistics of energy transfers in the profile states was conjectured to satisfy a large deviation principle in the limit of long transfer-times. The present paper establishes rigorously this conjecture by carrying out the long-time asymptotic analysis of the underlying non-local Riemann–Hilbert problem.

广泛的\（1 + 1 \）维unit共形场理论允许显式构造非平衡“轮廓状态”，该状态在左右两侧的不同平衡之间平滑地插值。最近已经确定，可以用对非局部黎曼-希尔伯特问题的解决方案来表示这种状态下能量转移的全计数统计的生成函数。继较早的能量转移统计工作之后，特别是伯纳德·多永（Bernard–Doyon）关于保形场理论中“分区协议”的研究，人们推测轮廓状态下的能量转移全计数统计可以满足能量转移中的大偏差原理。长时间传输的限制。