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arXiv 1609.01385hep-thgr-qchep-ph
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IIB、IIA中非BPS弦振幅及其全阶$α'$接触相互作用的注记

Remarks on Non-BPS String Amplitudes and Their All Order $α'$ Contact Interactions in IIB, IIA

Ehsan Hatefi

摘要:

本文研究了IIB和IIA超弦理论中一个势$C_{n-1}$ Ramond-Ramond(RR)型场、一个快子和两个横向标量场在世界体积和横向上的S矩阵元的整体形式.除了$<V_{C^{-2}}V_{ϕ^{0}}V_{ϕ^{0}}V_{T ^{0}}>$之外,还揭示了另一个散射振幅,即$<V_{C^{-1}}V_{ϕ^{-1}}V_{ϕ^{0}}V_{T ^{0}}>$。然后,我们开始比较所有的奇异结构的对称和非对称分析,产生所有的无限奇异结构以及所有的顺序$α'$接触相互作用的整个方向。这导致衍生各种新的接触条款和几个新的限制Bianchi身份在IIB和IIA型。研究还表明,IIB型(IIA)弦理论的一些新耦合可以通过膜的拉回在有效场论(EFT)中重新验证。为了构造其余的S-矩阵元素,首先需要导出受限世界体积(或体积)比安奇恒等式,然后发现IIB和IIA型的新EFT耦合。最后,证明了在非BPS膜的Wess-Zumino作用量指数内存在标量场的换位子。

英文摘要:

We explore the entire form of S-Matrix elements of a potential $C_{n-1}$ Ramond-Ramond (RR) form field, a tachyon and two transverse scalar fields on both world volume and transverse directions of type IIB and IIA superstring theories. Apart from $<V_{C^{-2}}V_{ϕ^{0}}V_{ϕ^{0}}V_{T ^{0}}>$ the other scattering amplitude, namely $<V_{C^{-1}}V_{ϕ^{-1}}V_{ϕ^{0}}V_{T ^{0}}>$ is also revealed. We then start to compare all singularity structures of symmetric and asymmetric analysis, generating all infinite singularity structures as well as all order $α'$ contact interactions on the whole directions. This leads to deriving various new contact terms and several new restricted Bianchi identities in both type IIB and IIA. It is also shown that just some of the new couplings of type IIB (IIA) string theory can be re-verified in an Effective Field Theory (EFT) by pull-back of branes. To construct the rest of S-matrix elements one needs to first derive restricted world volume (or bulk) Bianchi identities and then discover new EFT couplings in both type IIB and IIA. Finally the presence of commutator of scalar fields inside the exponential of Wess-Zumino action for non-BPS branes has been confirmed as well.

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