论文标题
$ t \ bar {t} $ - 喜欢非线性电动力学理论和s偶尔的流动
$T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
论文作者
论文摘要
我们调查了$ t \ bar {t} $ - 喜欢$ d(= \!\!\!2n)$的非线性电动力学理论的流量。我们的分析仅限于经典自由动作的变形问题,通过使用简单的集成技术采用了建议的$ t \ bar {t} $运算符。我们表明,此流程方程与$ t \ bar {t} $在$ d \!= \!2 $中的标量场理论的变形以及在$ d \!= \!4 $ dimensions中的非线性born-Infeld类型理论的变形。但是,我们的计算揭示了这种$ t \ bar {t} $在较高维度上流动与从ADS/CFT解释中得出的变形基本不同。的确,这种有效的出生污染作用的全息双重理论可能存在的重力不一定是广告空间。 As an illustrative investigation in $D\!=\!4$, we shall also show that our construction for the $T\bar{T}$ operator preserves the original $SL(2,R)$ symmetry of a non-supersymmetric Born-Infeld theory, as well as $\mathcal{N}=2$ supersymmetric model.结果表明,相应的$ sl(2,r)$不变动作修复了$ t \ bar {t} $ operator和二次形式之间的关系,以$ d \!= \!\!4 $中的能量 - 莫托姆张量。
We investigate the $T\bar{T}$-like flows for non-linear electrodynamic theories in $D(=\!\!2n)$-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed $T\bar{T}$ operator from a simple integration technique. We show that this flow equation is compatible with $T\bar{T}$ deformation of a scalar field theory in $D\!=\!2$ and of a non-linear Born-Infeld type theory in $D\!=\!4$ dimensions. However, our computation discloses that this kind of $T\bar{T}$ flow in higher dimensions is essentially different from deformation that has been derived from the AdS/CFT interpretations. Indeed, the gravity that may be exist as a holographic dual theory of this kind of effective Born-Infeld action is not necessarily an AdS space. As an illustrative investigation in $D\!=\!4$, we shall also show that our construction for the $T\bar{T}$ operator preserves the original $SL(2,R)$ symmetry of a non-supersymmetric Born-Infeld theory, as well as $\mathcal{N}=2$ supersymmetric model. It is shown that the corresponding $SL(2,R)$ invariant action fixes the relationship between the $T\bar{T}$ operator and quadratic form of the energy-momentum tensor in $D\!=\!4$.