N. M. McStay | Searcharxiv

arXiv2025

String theory in twistor space and minimal tension holography

Explicit examples of the AdS/CFT correspondence where both bulk and boundary theories are tractable are hard to come by, but the minimal tension string on $AdS_3 \times S^3 \times T^4$ is one notable example. In this paper, we discuss how one can construct sigma models on twistor space, with a particular focus on applying these techniques to the aforementioned string theory. We derive novel incidence relations, which allow us to understand to what extent the minimal tension string encodes information about the bulk. We identify vertex operators in terms of bulk twistor variables and a map from twistor space to spacetime is presented. We also demonstrate the presence of a partially broken global supersymmetry algebra in the minimal tension string and we argue that this implies that there exists an $\mathcal{N} = 2$ formulation of the theory. The implications of this are studied and we demonstrate the presence of an additional constraint on physical states.

hep-th↗

arXiv2024

Symmetries and Covering Maps for the Minimal Tension String on $\mathbf{AdS_3\times S^3\times T^4}$

This paper considers a recently-proposed string theory on $AdS_3\times S^3\times T^4$ with one unit of NS-NS flux ($k=1$). We discuss interpretations of the target space, including connections to twistor geometry and a more conventional spacetime interpretation via the Wakimoto representation. We propose an alternative perspective on the role of the Wakimoto formalism in the $k=1$ string, for which no large radius limit is required by the inclusion of extra operator insertions in the path integral. This provides an exact Wakimoto description of the worldsheet CFT. We also discuss an additional local worldsheet symmetry, $Q(z)$, that emerges when $k=1$ and show that this symmetry plays an important role in the localisation of the path integral to a sum over covering maps. We demonstrate the emergence of a rigid worldsheet translation symmetry in the radial direction of the $AdS_3$, for which again the presence of $Q(z)$ is crucial. We conjecture that this radial symmetry plays a key role in understanding, in the case of the $k=1$ string, the encoding of the bulk physics on the two-dimensional boundary.

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