Massive type IIA string theory cannot be strongly coupled

Abstract

Understanding the strong coupling limit of massive type IIA string theory is a longstanding problem. We argue that perhaps this problem does not exist; namely, there may be no strongly coupled solutions of the massive theory. We show explicitly that massive type IIA string theory can never be strongly coupled in a weakly curved region of space-time. We illustrate our general claim with two classes of massive solutions in AdS4xCP3: one, previously known, with N = 1 supersymmetry, and a new one with N = 2 supersymmetry. Both solutions are dual to d = 3 Chern-Simons-matter theories. In both these massive examples, as the rank N of the gauge group is increased, the dilaton initially increases in the same way as in the corresponding massless case; before it can reach the M-theory regime, however, it enters a second regime, in which the dilaton decreases even as N increases. In the N = 2 case, we find supersymmetry-preserving gauge-invariant monopole operators whose mass is independent of N. This predicts the existence of branes which stay light even when the dilaton decreases. We show that, on the gravity side, these states originate from D2-D0 bound states wrapping the vanishing two-cycle of a conifold singularity that develops at large N.

43 pages, 5 figures. v2: added references

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• AdS${}_3$ solutions with exceptional supersymmetry
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• AdS${}_4$ solutions of massive IIA from dyonic ISO(7) supergravity
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• Aspects of AdS flux vacua with integer conformal dimensions
• New Supersymmetric String Theories from Discrete Theta Angles
• A massive class of $\mathcal{N}=2$ AdS${}_4$ IIA solutions
• Type IIA Flux Vacua with Mobile D6-branes
• M/F-Theory as Mf-Theory
• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• Flavor Corrections in the Static Potential in Holographic QCD
• N=2 Moduli of AdS4 vacua: A fine-print study
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• Parameter spaces of massive IIA solutions
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• Pure spinor equations to lift gauged supergravity
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• The Origin of Calabi-Yau Crystals in BPS States Counting
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• SL(2,R) covariant conditions for N=1 flux vacua
• The Massive Supermembrane on a Knot
• Topological resolution of gauge theory singularities
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory
• Strong Coupling Limit of A Family of Chern-Simons-matter Theories