Abstract

We discuss finite-size corrections to the spiky strings in AdS space which is dual to the long 𝒩 = 4 SYM operators of the form Tr(\( {\varDelta}_{+}^{J_1}{\phi}_1{\varDelta}_{+}^{J_2}{\phi}_2\dots {\varDelta}_{+}^{J_n}{\phi}_n \)). We express the finite-size dispersion relation in terms of Lambert W-function. We further establish the finite-size scaling relation between energy and angular momentum of the spiky string in presence of mixed fluxes in terms of W-function. We comment on the solution in pure NS-NS background as well.

中文翻译：

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具有混合磁通的AdS 3×S 3×T 4中的有限大小尖峰字符串

一个bstract

我们讨论了对AdS空间中尖峰字符串的有限大小校正，该校正对Tr =形式的长𝒩 = 4 SYM运算符是对偶的（（（（（\ varDelta} _ {+} ^ {J_1} {\ phi} _1 {\ varDelta} _ {++ ^ {J_2} {\ phi} _2 \点{\ varDelta} _ {+} ^ {J_n} {\ phi} _n \））。我们用Lambert W函数表示有限尺寸的色散关系。我们进一步根据W函数建立了在存在混合通量的情况下，尖峰弦的能量和角动量之间的有限尺寸比例关系。我们也在纯NS-NS背景下评论该解决方案。