The physical states of the Hybrid Formalism

Abstract

String theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ with one unit ($k=1$) of NS-NS flux is considered in the hybrid formalism of Berkovits, Vafa & Witten (BVW). Using the free field realisation of the world-sheet theory at $k=1$, we identify explicitly the BRST cohomology classes corresponding to some of the low-lying states of the dual CFT. In particular, we do this for the $\mathcal{N}=4$ superconformal generators of the symmetric orbifold theory, and we confirm these identifications by showing that the worldsheet correlators reproduce the expected dual CFT answer. Along the way we note that the physical vertex operators on the worldsheet have a simpler form if one works with a different, but equivalent, choice for the BRST operators relative to BVW.

arXiv comment33 pages

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Cited by in corpus (8)

• Tree-level amplitudes from the pure spinor superstring
• String correlators on ${\text{AdS}}_3$: Analytic structure and dual CFT
• Perturbing the symmetric orbifold from the worldsheet
• DDF operators in the Hybrid Formalism
• Classical geometry from the tensionless string
• String correlators on ${\text{AdS}}_3$: Four-point functions
• D-branes in ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$ at $k=1$ and their holographic duals
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality