论文标题

$ j \ bar {t} $变形的全息二的Penrose限制

Penrose limit for holographic duals of $ J\bar{T} $ deformations

论文作者

Roychowdhury, Dibakar

论文摘要

我们在扭曲的$ btz \ times s^3 $上探索玻色弦Sigma模型,均在平面波和平面波限制之外。使用光锥量表,我们获得了相应的哈密顿量,因此获得了与PP波弦相关的光谱。我们的分析揭示了由于沿目标空间歧管的异构体的TST变换而产生的频谱的恒定变化。在CFT $ _2 $频谱上施加能量积极性约束,我们估计轮班上的上限。当我们超出平面波限制时,我们还会估计校正。最后,我们使用共形规格进行计算,该规格揭示了PP波弦的相同光谱,从而显示了两种方法之间的等效性。

We explore bosonic string sigma models on warped $ BTZ\times S^3 $ both in the plane wave as well as beyond plane wave limit. Using the light cone gauge, we obtain the corresponding Hamiltonian and therefore the spectrum associated with the pp wave strings. Our analysis reveals a constant shift in the spectrum arising as a result of TsT transformations along the isometries of the target space manifold. Imposing the energy positivity constraint on the CFT$_2 $ spectrum, we estimate an upper bound on the shift. We also estimate corrections as we go beyond the plane wave limit. Finally, we perform calculations using conformal gauge which reveals identical spectrum for the pp wave strings and thereby shows the equivalence between the two approaches.

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