Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-12-11
JHEP 9901:013,1999
Physics
High Energy Physics
High Energy Physics - Theory
23pages, no figures, LaTeX. Some discussions added. The final version to be published in JHEP
Scientific paper
10.1088/1126-6708/1999/01/013
We explore the superstring theory on AdS_3 x S^3 x T^4 in the framework given in hep-th/9806194. We argue on the Hilbert space of "space-time CFT", and especially construct a suitable vacuum of this CFT from the physical degrees of freedom of the superstring theory in bulk. We first construct it explicitly in the case of p=1, and then present a proposal for the general cases of p>1. After giving some completion of the GKS's constructions of the higher mode operators (in particular, of those including spin fields), we also make some comparison between the space-time CFT and T^{4kp}/S_{kp} SCFT, namely, with respect to the physical spectrum of chiral primaries and some algebraic structures of bosonic and fermionic oscillators in both theories. We also observe how our proposal about the Hilbert space of space-time CFT leads to a satisfactory correspondence between the spectrum of chiral primaries of both theories in the cases of p>1.
Hosomichi Kazuo
Sugawara Yasuharu
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