Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-16
Nucl.Phys. B411 (1994) 122-156
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, Latex, USITP 93-12
Scientific paper
10.1016/0550-3213(94)90056-6
{}From the ordinary tensile string we derive a geometric action for the tensionless ($T=0$) string and discuss its symmetries and field equations. The Weyl symmetry of the usual string is shown to be replaced by a global space-time conformal symmetry in the $T\to 0$ limit. We present the explicit expressions for the generators of this group in the light-cone gauge. Using these, we quantize the theory in an operator form and require the conformal symmetry to remain a symmetry of the quantum theory. Modulo details concerning zero-modes that are discussed in the paper, this leads to the stringent restriction that the physical states should be singlets under space-time diffeomorphisms, hinting at a topological theory. We present the details of the calculation that leads to this conclusion.
Isberg J.
Lindstrom Ulf
Sundborg Bo
Theodoridis G.
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