Tensionless strings on $Ad{S}_3\times S^3\times S^3\times S^1$

Abstract

We propose that string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ with $\text{two}$ units of NS-NS flux through each of the two $3$-spheres is exactly dual to the symmetric orbifold of $2$ bosons and $8$ free fermions. Here, one of the two bosons describes the compact ${\mathrm{S}}^1$, while the other one corresponds to the radial (non-compact) direction of ${\mathrm{AdS}}_3$. Unlike the analogous situation for ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathbb{T}}^4$, the description makes sense both in the NS-R as well as the hybrid formulation, and we explain the duality in both frameworks.

36 pages

Cited by in corpus (2)

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