标题： 关于变形BTZ上的弦理论和$T\bar T$ 显示英文标题

标题： On string theory on deformed BTZ and $T\bar T$

摘要： 超弦理论在近$k$~NS5膜由$p$~基本弦形成的变形BTZ黑洞方面的内容，以及单迹$T\bar T$全息理论，被提出。一个单圈长弦的激发能量及其对黑洞能量的贡献，即黑洞能量的$1/p$部分，与$T\bar T$变形的$CFT_2$与$c=6k$相同。 这支持了这样的观点，即黑洞可以被视为一个对称乘积中的状态，该对称乘积由中心电荷为~$6k$的$p$~$CFT_2$组成，其中黑洞能量平均分配给所有$p$因子。 还提出了关于变形全局$AdS_3$上超弦理论的评论。 显示英文摘要

摘要： Aspects of superstring theory on deformed BTZ black holes, formed near $k$~NS5 branes by $p$~fundamental strings, and single-trace $T\bar T$ holography, are presented. The excitation energy of a singly wound long string plus its contribution to the energy of the black hole, $1/p$ fraction of the black-hole energy, is the same as that in $T\bar T$ deformed $CFT_2$ with $c=6k$. This supports the claim that the black hole can be thought of as a state in a symmetric product of $p$~$CFT_2$'s of central charge~$6k$, where the black-hole energy is split equally among all $p$ factors. A comment on superstring theory on deformed global $AdS_3$ is also presented.