DDF operators in the Hybrid Formalism

Abstract

String theory with one unit of NS-NS flux on ${\text{AdS}}_3\times {\text{S}}^3\times {\mathbb{T}}^4$ has been recently realised to be the exact dual of the symmetric orbifold of ${\mathbb{T}}^4$. In the hybrid formalism of Berkovits, Vafa and Witten and using the free-field realisation of $\mathfrak{psu}(1,1|2{)}_1$, the DDF operators of the free bosons and the free fermions of ${\mathbb{T}}^4$ are constructed. It is shown that these DDF operators reproduce the whole spectrum of the space-time theory on the world-sheet and therefore provide a derivation of the dual spectrum from first-principles.

32 pages, v2: agrees with the published version

References in corpus (11)

• Symmetries of Holographic Minimal Models
• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Free field world-sheet correlators for ${\mathrm{AdS}}_3$
• Correlators of the symmetric product orbifold
• The String Dual to Free $\mathcal{N}=4$ Super Yang-Mills
• Higher genus correlators for tensionless ${\mathrm{AdS}}_3$ strings
• The Worldsheet Dual of Free Super Yang-Mills in 4D
• BPS Correlators for ${\text{AdS}}_3/{\text{CFT}}_2$
• The free field realisation of the BVW string
• Stress-energy tensor correlators from the world-sheet
• The physical states of the Hybrid Formalism

Cited by in corpus (5)

• Perturbing the symmetric orbifold from the worldsheet
• Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$
• String theory in twistor space and minimal tension holography
• Space-time symmetry from the world-sheet
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality