Twistors and Actions on Coset Manifolds

Details Twistors and Actions on Coset Manifolds Twistors and Actions on Coset Manifolds

2000-01-12

arxiv.org/abs/hep-th/0001072v2

Phys.Rev. D62 (2000) 024030

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; section 2 rewritten for clarity. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.024030

Particle and string actions on coset spaces typically lack a quadratic kinetic term, making their quantization difficult. We define a notion of twistors on these spaces, which are hypersurfaces in a vector space that transform linearly under the isometry group of the coset. By associating the points of the coset space with these hypersurfaces, and the internal coordinates of these hypersurfaces with momenta, it is possible to construct manifestly symmetric actions with leading quadratic terms. We give a general algorithm and work out the case of a particle on AdS_p explicitly. In this case, the resulting action is a world-line gauge theory with sources, (the gauge group depending on p) which is equivalent to a nonlocal world-line sigma-model.

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