Non-supersymmetric heterotic strings on $Ad{S}_4\times S^3\times S^3$

Abstract

We analyze the stability properties of a family of anti-de Sitter flux compactifications of the tachyon-free non-supersymmetric heterotic string in ten dimensions. In contrast with simpler such solutions, the solutions include two independent unbounded fluxes, leading to richer instability phenomena. In particular, when the two fluxes are sufficiently close in magnitude, the perturbative spectrum develops tachyonic modes, which can be projected out by an orbifold action. When the fluxes are far apart, tachyonic modes are absent, and the geometry displays inverse scale separation, where a factor of the internal manifold becomes parametrically larger than the anti-de Sitter factor. Still, non-perturbative instabilities in the form of brane nucleation are always available decay channels, and tend to drive the two fluxes closer together, eventually triggering the tachyonic instability when present.

42 pages, 12 figures

References in corpus (35)

• Towards a Non-Supersymmetric String Phenomenology
• Swampland Conjectures for Strings and Membranes
• Strings on ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$
• de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
• Brane annihilation in non-supersymmetric strings
• de Sitter Cosmology on an expanding bubble
• Small Steps and Giant Leaps in the Landscape
• On Warped String Vacuum Profiles and Cosmologies, II. Non-Supersymmetric Strings
• Nothing really matters
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Dark bubbles: decorating the wall
• Vacua Morghulis
• On New Vacua of non-Supersymmetric Strings
• Revisiting Dudas-Mourad compactifications
• A stringy realization of a small and positive cosmological constant in dark bubble cosmology
• Non-Supersymmetric AdS from String Theory
• On Codimension-one Vacua and String Theory
• Revisiting Coleman-de Luccia transitions in the AdS regime using holography
• On the Stability of String Theory Vacua
• Fake supersymmetry with tadpole potentials
• Vacuum Energy in Non-Supersymmetric Quasi-Realistic Heterotic-String Vacua with Fixed Moduli
• Aspects of strings without spacetime supersymmetry
• Shedding light on dark bubble cosmology
• AdS vacua of non-supersymmetric strings
• Emergent strings at infinite distance with broken supersymmetry
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Stability of non-supersymmetric vacua from calibrations
• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$
• Dynamical dark energy in 0'B braneworlds
• New non-supersymmetric flux vacua from generalised calibrations
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective
• Vacuum Energy of Non-Supersymmetric $\tilde{\mathbf{S}}$ Heterotic String Models
• Banks-Zaks Stabilisation of Non-SUSY Strings
• Non-Supersymmetric Heterotic Strings on a Circle
• Instabilities in scale-separated Casimir vacua