Non-Supersymmetric AdS from String Theory

Abstract

We construct non-supersymmetric AdS3 solutions of the O(16)xO(16) heterotic string. Most of the backgrounds have a classical worldsheet definition but are quantum string vacua in the sense that string loop corrections change the curvature of spacetime. At one-loop, the change in the cosmological constant is positive but never sufficient to uplift to de Sitter space. By computing the spectrum of spacetime scalars, we show that there are no tachyons below the BF bound. We also show that there is a solution with no spacetime NS-NS flux. This background has no classical string limit. Surprisingly, there appears to be parametric control over these constructions, which provide a framework for exploring quantum gravity and holography without supersymmetry.

29 pages + 26 pages appendices; Mathematica file included; v2: references added

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Cited by in corpus (7)

• Heterotic de Sitter Beyond Modular Symmetry
• Connecting flux vacua through scalar field excursions
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• AdS vacua of non-supersymmetric strings
• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$
• Non-supersymmetric heterotic strings on $Ad{S}_4\times S^3\times S^3$
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective