Tensionless Strings, WZW Models at Critical Level and Massless Higher Spin Fields

Abstract

We discuss the notion of tensionless limit in quantum bosonic string theory, especially in flat Minkowski space, noncompact group manifolds (e.g., SL(2,R)) and coset manifolds (e.g., AdS). We show that in curved space typically there exists a critical value of the tension which is related to the critical value of the level of the corresponding affine algebra. We argue that at the critical level the sring theory becomes tensionless and that there exists a huge new symmetry of the theory. We dicuss the appearence of the higher spin massless states at the critical level.

latex, 13 pages; important improvements are made in the discussion of HS symmetries for the group and AdS manifolds, references added, the version to be published in Phys.Let.B

References in corpus (3)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• On stringy AdS_5 x S^5 and higher spin holography
• On the geometry of higher-spin gauge fields

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