Abstract
We investigate the behaviour of the bosonic string on AdS3 with H-flux at stringy scales, looking in particular for a ‘tensionless’ limit in which there are massless higher spin gauge fields. We do this by revisiting the physical spectrum of the mathfrak{s}mathfrak{l}{left(2, mathbb{R}right)}_k WZW model and considering the limit in which k becomes small. At k = 3 we find that there is an infinite stringy tower of massless higher spin fields which are part of a continuum of light states. This can be viewed as a novel tensionless limit, which appears to be distinct from that inferred from the symmetric orbifold description of superstring AdS3 vacua.
Highlights
JHEP07(2017)090 which give rise to the continuum
This can be viewed as a novel tensionless limit, which appears to be distinct from that inferred from the symmetric orbifold description of superstring AdS3 vacua
From a close examination of the bosonic string spectrum on AdS3 with H-flux, that there is a novel kind of tensionless limit at small k
Summary
The SL(2, R) group manifold is a three-dimensional hyperboloid with periodic time, giving rise to a discrete energy spectrum. We will work with AdS3, which is the universal covering space of this hyperboloid, and which has non-compact time so that the energy spectrum is not forced to be discrete. We will investigate the critical bosonic string theory formulated in terms of the WZW model of level k on AdS3, combined with an ‘internal’ CFT to give a CFT with total central charge c = 26. This theory has been studied extensively in [1,2,3, 14,15,16,17,18], and we will make extensive use of the results of [1]
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