On the covariant quantization of tensionless bosonic strings in AdS spacetime

TL;DR

This paper develops a covariant quantization method for tensionless bosonic strings in AdS spacetime, utilizing a hyperboloid representation and simplified constraint algebra, applicable across various dimensions.

Contribution

It introduces a covariant quantization scheme for tensionless strings in AdS, leveraging the hyperboloid model and simplified constraints for the first time.

Findings

Explicit covariant quantization scheme established

Constraint algebra simplifies in tensionless limit

Applicable to any AdS dimension

Abstract

The covariant quantization of the tensionless free bosonic (open and closed) strings in AdS spaces is obtained. This is done by representing the AdS space as an hyperboloid in a flat auxiliary space and by studying the resulting string constrained hamiltonian system in the tensionless limit. It turns out that the constraint algebra simplifies in the tensionless case in such a way that the closed BRST quantization can be formulated and the theory admits then an explicit covariant quantization scheme. This holds for any value of the dimension of the AdS space.