Perturbing the Ground Ring of 2-D String Theory

Details Perturbing the Ground Ring of 2-D String Theory Perturbing the Ground Ring of 2-D String Theory

1992-01-29

arxiv.org/abs/hep-th/9201064v1

Int. J. Mod. Phys. A7 (1992) 7579-7596

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

We use free field techniques in D=2 string theory to calculate the perturbation of the special state algebras when the cosmologi- cal constant is turned on. In particular, we find that the "ground cone" preserved by the ring structure is promoted to a three dimen- sional hyperboloid as conjectured by Witten. On the other hand, the perturbed (1,1) a three dimensional hyperboloid as conjectured by Witten. On the other hand, the perturbed (1,1) current algebra of moduli deformations is computed completely, and no simple geometrical inter- pretation is found. We also quote some facts concerning the Liouville/matrix model dictio- nary in this class of theories.

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