The String Dual to Free N=4 Super Yang-Mills
by
Abstract
We propose a worldsheet description for the AdS5 x S5 string theory dual to large N, free N=4 super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated tensionless string on AdS3 × S3 × T4 . As in the case of AdS3 it has a free field description, with spectrally flowed sectors, and is closely related to an (ambi-)twistor string theory. Here, however, we view it as a critical N=4 (closed) string background. We argue that the corresponding worldsheet gauge constraints reduce the degrees of freedom to a finite number of oscillators (string bits) in each spectrally flowed sector. Imposing a set of residual gauge constraints on this reduced oscillator Fock space then determines the physical spectrum of the string theory. Quite remarkably, we find compelling evidence that this prescription reproduces precisely the entire planar spectrum - of single trace operators - of the free super Yang-Mills theory.
Based on: 2104.08263
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