Universal Teichmüller space in geometry and physics

Details Universal Teichmüller space in geometry and physics Universal Teichmüller space in geometry and physics

1993-10-07

arxiv.org/abs/hep-th/9310045v1

J. Geom. Phys. 15 (1995) 227

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, AMS-Tex

Scientific paper

10.1016/0393-0440(94)00007-Q

Lipman Bers' universal Teichm\"uller space, classically denoted by $T(1)$, plays a significant role in Teichm\"uller theory, because all the Teichm\"uller spaces $T(G)$ of Fuchsian groups $G$ can be embedded into it as complex submanifolds. Recently, $T(1)$ has also become an object of intensive study in physics, because it is a promising geometric environment for a non-perturbative version of bosonic string theory. We provide a non-technical survey of what is currently known about the geometry of $T(1)$ and what is conjectured about its physical meaning.

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