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O-plane couplings at order α′2: one R-R field strength
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2020-06-01 , DOI: 10.1007/jhep06(2020)171
Mahboube Mashhadi , Mohammad R. Garousi

It is known that the anomalous Chern-Simons (CS) coupling of O$_p$-plane is not consistent with the T-duality transformations. Compatibility of this coupling with the T-duality requires the inclusion of couplings involving one R-R field strength. In this paper we find such couplings at order $\alpha'^2$. By requiring the R-R and NS-NS gauge invariances, we first find all independent couplings at order $\alpha'^2$. There are $1,\, 6,\,28,\,20,\, 19,\, 2$ couplings corresponding to the R-R field strengths $F^{(p-4)}$, $\,F^{(p-2)}$, $\,F^{(p)}$, $\,F^{(p+2)}$, $\,F^{(p+4)}$ and $F^{(p+6)}$, respectively. We then impose the T-duality constraint on these couplings and on the CS coupling $C^{(p-3)}\wedge R\wedge R$ at order $\alpha'^2$ to fix their corresponding coefficients. The T-duality constraint fixes all coefficients in terms of the CS coefficient. They are fully consistent with the partial couplings that have been already found in the literature by the S-matrix method.

中文翻译:

α'2 阶的 O 平面耦合:一个 RR 场强

众所周知,O$_p$-平面的反常Chern-Simons (CS) 耦合与T-对偶变换不一致。这种耦合与 T 对偶的兼容性要求包括涉及一个 RR 场强的耦合。在本文中,我们在 $\alpha'^2$ 顺序找到了这种耦合。通过要求 RR 和 NS-NS 规范不变性,我们首先找到 $\alpha'^2$ 顺序的所有独立耦合。有$1,\, 6,\,28,\,20,\, 19,\, 2$ 耦合对应于RR场强$F^{(p-4)}$, $\,F^{( p-2)}$, $\,F^{(p)}$, $\,F^{(p+2)}$, $\,F^{(p+4)}$ 和 $F^ {(p+6)}$,分别。然后我们对这些耦合和 CS 耦合 $C^{(p-3)}\wedge R\wedge R$ 施加 T 对偶约束,以 $\alpha'^2$ 的顺序固定它们的相应系数。T-对偶约束根据 CS 系数固定所有系数。它们与文献中已经通过 S 矩阵方法发现的部分耦合完全一致。
更新日期:2020-06-01
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