校准圈与T-对偶
Calibrated cycles and T-duality
摘要:
对于希钦的广义几何,我们介绍和分析的概念,结构子流形封装的经典概念的校准子流形。在一个合适的可积性条件下的环境几何,这些广义校准周期最小化功能发生D-膜能量在II型弦理论,涉及两个所谓的NS-NS-和R-R-领域。此外,我们调查的T-对偶下的校准周期的行为,并构造非平凡的例子。
英文摘要:
For Hitchin's generalised geometries we introduce and analyse the concept of a structured submanifold which encapsulates the classical notion of a calibrated submanifold. Under a suitable integrability condition on the ambient geometry, these generalised calibrated cycles minimise a functional occurring as D-brane energy in type II string theories, involving both so-called NS-NS- and R-R-fields. Further, we investigate the behaviour of calibrated cycles under T-duality and construct non-trivial examples.
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