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arXiv 1607.01767hep-thgr-qchep-ph
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弦论中的超无标度模型

Super no-scale models in string theory

Costas Kounnas, Herve Partouche

摘要:

我们在杂化弦的框架下考虑了“超无标度模型”,其中N= 4,2,1-> 0的超对称自发破缺是由实现弦Scherk-Schwarz微扰机制的几何通量引起的.经典上,这些背景的特点是玻色子/费米子简并在无质量的水平,即使超对称性被打破。在单圈水平上,如果超对称性破缺尺度很小,则真空能量呈指数抑制,m_{3/2} M_{string}。我们证明了所考虑的“超无标度弦模型”不含Hagedorn类快子奇点,即使超对称破缺标度很大,m_{3/2} ~ M_{string}。当m_{3/2}从M_{string}变化到0时,真空能量单调下降并指数收敛到零。我们还发现,所有与渐近自由规范对称性相关的Wilson线都被单圈有效势动态稳定,而与非对称自由规范群相关的Wilson线则导致不稳定和凝聚.共形规范对称性的威尔逊线保持无质量。当稳定时,弦的超无标度模型承认低能量的有效作用量,其中退耦引力产生平坦时空中的理论,具有软破缺的超对称性。

英文摘要:

We consider "super no-scale models" in the framework of the heterotic string, where the N=4,2,1 --> 0 spontaneous breaking of supersymmetry is induced by geometrical fluxes realizing a stringy Scherk-Schwarz perturbative mechanism. Classically, these backgrounds are characterized by a boson/fermion degeneracy at the massless level, even if supersymmetry is broken. At the 1-loop level, the vacuum energy is exponentially suppressed, provided the supersymmetry breaking scale is small, m_{3/2} << M_{string}. We show that the "super no-scale string models" under consideration are free of Hagedorn-like tachyonic singularities, even when the supersymmetry breaking scale is large, m_{3/2} ~ M_{string}. The vacuum energy decreases monotonically and converges exponentially to zero, when m_{3/2} varies from M_{string} to 0. We also show that all Wilson lines associated to asymptotically free gauge symmetries are dynamically stabilized by the 1-loop effective potential, while those corresponding to non-asymtotically free gauge groups lead to instabilities and condense. The Wilson lines of the conformal gauge symmetries remain massless. When stable, the stringy super no-scale models admit low energy effective actions, where decoupling gravity yields theories in flat spacetime, with softly broken supersymmetry.

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