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arXiv · 1105.6294

Stringy differential geometry, beyond Riemann

Imtak Jeon·Kanghoon Lee·Jeong-Hyuck Park
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Abstract

While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric. Here we propose a novel differential geometry which treats the three objects in a unified manner, manifests not only diffeomorphism and one-form gauge symmetry but also O(D,D) T-duality, and enables us to rewrite the known low energy effective action of them as a single term. Further, we develop a corresponding vielbein formalism and gauge the internal symmetry which is given by a direct product of two local Lorentz groups, SO(1,D-1) times SO(1,D-1). We comment that the notion of cosmological constant naturally changes.

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Imtak Jeon, Kanghoon Lee, Jeong-Hyuck Park. 2011-07-24. Stringy differential geometry, beyond Riemann. https://doi.org/10.1103/physrevd.84.044022

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