String Dual to Free N=4 Supersymmetric Yang-Mills Theory.

Matthias R Gaberdiel,Rajesh Gopakumar

doi:10.1103/physrevlett.127.131601

Matthias R Gaberdiel, Rajesh Gopakumar

Open Access

https://doi.org/10.1103/physrevlett.127.131601

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Abstract

We propose a worldsheet description for the AdS_{5}×S^{5} string theory dual to large N, free N=4 supersymmetric Yang-Mills theory in four dimensions. The worldsheet theory is a natural generalization of the recently investigated tensionless string on AdS_{3}×S^{3}×T^{4}. As in the case of AdS_{3} 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 that this prescription reproduces precisely the entire planar spectrum-of single trace operators-of the free supersymmetric Yang-Mills theory.

Highlights

Introduction.—The idea that gauge theories might be equivalent to string theories is around half a century old
We propose a worldsheet description for the AdS5 × S5 string theory dual to large N, free N 1⁄4 4 supersymmetric Yang-Mills theory in four dimensions
In the canonical example of type IIB string theory on AdS5 × S5 dual to 4D N 1⁄4 4 supersymmetric Yang-Mills (SYM) theory, most attempts to go beyond the supergravity limit have employed the Green-Schwarz formalism

Summary

Introduction

Introduction.—The idea that gauge theories might be equivalent to string theories is around half a century old. 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.

Results

Conclusion