Gravitationally dresed RG flows and zig-zag invariant strings
arXiv:hep-th/9807223 · doi:10.1016/S0370-2693(98)01211-8
Abstract
We propose a world-sheet realization of the zigzag-invariant bosonic and fermionic strings as a perturbed Wess-Zumino-Novikov-Witten model at large negative level on a group manifold coupled to 2D gravity. In the large limit the zigzag symmetry can be obtained as a result of a self-consistent solution of the gravitationally dressed RG equation. The only solution found for simple group is . More general target-space geometries can be obtained via tensoring of various cosets based on SL(2). In the supersymmetric case the zigzag symmetry fixes the maximal target-space dimension of the confining fermionic string to be seven.
16 pages, corrected typos, version to be published in Phys.Lett. B