Space-Time Symmetries of Quantized Tensionless Strings

Details Space-Time Symmetries of Quantized Tensionless Strings Space-Time Symmetries of Quantized Tensionless Strings

1992-07-02

arxiv.org/abs/hep-th/9207005v1

Phys.Lett. B293 (1992) 321-326

Physics

High Energy Physics

High Energy Physics - Theory

15pp, plain latex, USITP-92-4

Scientific paper

10.1016/0370-2693(92)90890-G

The tensionless limit of the free bosonic string is space-time conformally symmetric classically. Requiring invariance of the quantum theory in the light cone gauge tests the reparametrization symmetry needed to fix this gauge. The full conformal symmetry gives stronger constraints than the Poincar\'e subalgebra. We find that the symmetry may be preserved in any space-time dimension, but only if the spectrum is drastically reduced (part of this reduction is natural in a zero tension limit of the ordinary string spectrum). The quantum states are required to be symmetric ({\it i.e.} singlets) under space-time diffeomorphisms, except for the centre of mass wave function.

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