The super Virasoro minimal string from 3d supergravity
Year: 2026
Type: article
Abstract: The super Virasoro minimal string is defined by coupling spacelike and timelike super Liouville theories on the worldsheet. There are four different theories 0A ^± ± and 0B ^± ± depending on discrete choices on the worldsheet. We show that these theories arise naturally from quantization of 3d supergravity, and the amplitudes compute the dimension ( + + ) or superdimension ( - − ) of the space of \mathcal{N}=1 𝒩 = 1 superconformal blocks modulo crossing symmetry. Both 0A ^+ + and 0B ^+ + are perturbatively dual to the same matrix integral as the bosonic Virasoro minimal string, while 0B ^- − is perturbatively dual to a matrix integral with an inverse square root singularity. We show that all non-trivial perturbative amplitudes of the 0A ^- − theory vanish.
Source: SciPost Physics
Author: Lorenz Eberhardt
Institution: Institute for Theoretical Physics Amsterdam
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7158912573