Weyl Invariant Spacetime

Details Weyl Invariant Spacetime Weyl Invariant Spacetime

2002-10-04

arxiv.org/abs/hep-th/0210038v2

Prog.Theor.Phys. 109 (2003) 295-303

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1143/PTP.109.295

A new class of Weyl invariant backgrounds are presented in terms of the metric $G_{\mu\nu}$ and the anti-symmetric Kalb-Ramond fields $B_{\mu\nu}$. The ten-dimensional spacetime is a product of four-dimensional flat spacetime and curved six-dimensional spacetime having nonvanishing Ricci tensors. The non-vanishing Kalb-Ramond field strengths cannot be written globally as $H=dB$, being of the monopole type. Nevertheless they define homogeneous spacetime with no singularity.

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