Topology changing processes and symmetries of string effective action

Details Topology changing processes and symmetries of string effective action Topology changing processes and symmetries of string effective action

1993-02-14

arxiv.org/abs/hep-th/9302069v1

Nucl.Phys. B406 (1993) 145-164

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, IP/BBSR/93-8

Scientific paper

10.1016/0550-3213(93)90164-K

Wormhole solutions corresponding to space-time geometries $R^1\times S^1\times S^2$ and $R^1\times S^3$ are obtained from reduced string effective action and the action is written in a manifestly $O(d,d)$ invariant form. A general treatment is given for obtaining wormhole solutions of different topologies from dimensional reduction. For specific ansatz of internal metric and antisymmetric field the reduced action is shown to have a global $SL(2,C)$ symmetry. The $SL(2,C)$ and duality symmetries have been exploited to generate new configurations of internal fields which produce wormhole solutions in four space-time dimensions. The $SL(2,C)$ symmetry discussed in this paper arises due to specific form of the moduli and these transformations belong to a subgroup of $O(d,d)$ global symmetry.

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