arXiv 1301.17832013-01hep-th

关于弦论的Calabi-Yau真空和宇宙学常数问题的注记

Remark on Calabi-Yau vacua of the string theory and the cosmological constant problem

Eun Kyung Park, Pyung Seong Kwon

备注：: Trivial corrections
发表信息：: Phys.Rev.D88:046007,2013
DOI：: 10.1103/PhysRevD.88.046007

摘要：

基于我们的三维空间是位于Calabi-Yau三重的锥状奇点处的BPS D3-膜的叠加的观点，我们提出了一种新的机制来解决宇宙学常数问题，在传统的紧化框架下，包括NS-NS三重形式在内的$n$形式通量都被关闭.在这种机制中，四维宇宙学常数$λ$表现为膜上的两种真空能，即NS-NS型和R-R型真空能，加上超对称破缺项，构成了膜作用密度${\hat I}_{\rm brane}$，场方程迫使${\hat I}_{\rm brane}$的这三项之和为零，从而使$λ$自动调整为零。同样在这种机制中，$d=4$超对称性在膜区域被打破，同时仍然保持$λ=0$。超对称性破缺是R-R四维形式在量子能级上的规范对称性破缺的结果。我们将上述机制推广到通量紧致化的情况，其中通量都被打开以稳定模量。在广义理论中，$λ$表现为${\hat I}_{\rm brane}$加上模的标量势${\mathcal V}_{\rm scalar}$，与普通通量紧化的情况相反，在普通通量紧化中，$λ$仅仅由${\mathcal V}_{\rm scalar}$给出。同样在这个理论中，任何由微扰或非微扰修正引起的非零${\mathcal V}_{\rm scalar}$都被${\hat I}_{\rm brane}$的规范任意性和条件$λ=0$所规范化。因此，$λ$还是像以前一样，仅仅表示为膜作用密度，或者它仅仅由于${\hat I}_{\rm brane}$和${\mathcal V}_{\rm scalar}$之间的抵消而消失。

英文摘要：

We propose, based on the viewpoint that our three-dimensional space is a stack of BPS D3-branes located at the conifold singularity of the Calabi-Yau three-fold, a new mechanism to address the cosmological constant problem in the framework of the conventional compactifications where the $n$-form fluxes including NS-NS three-form are all turned off. In this mechanism the four-dimensional cosmological constant $λ$ appears as two types, NS-NS type and R-R type, of vacuum energies on the brane plus supersymmetry breaking term, which constitute a brane action density ${\hat I}_{\rm brane}$, and sum of these three terms of ${\hat I}_{\rm brane}$ are forced to vanish by field equations so that $λ$ adjusts itself to zero as a result. Also in this mechanism the $d=4$ supersymmetry is broken in the brane region, while still maintaining $λ=0$. The supersymmetry breaking occurs as a result of the gauge symmetry breaking of the R-R four-form arising at the quantum level. We generalize the above mechanism to the case of the flux compactifications where the fluxes are all turned on to stabilize the moduli. In the generalized theory $λ$ appears as ${\hat I}_{\rm brane}$ plus the scalar potential ${\mathcal V}_{\rm scalar}$ for the moduli, in contrast to the case of the ordinary flux compactifications where $λ$ is simply given by ${\mathcal V}_{\rm scalar}$. Also in this theory any nonzero ${\mathcal V}_{\rm scalar}$ arising from perturbative or nonperturbative corrections is gauged away by the gauge arbitrariness of ${\hat I}_{\rm brane}$ and the condition $λ=0$. So $λ$ is again expressed only as a brane action density as before, or it simply vanishes by the cancelation between ${\hat I}_{\rm brane}$ and ${\mathcal V}_{\rm scalar}$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

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