Massive type IIA string theory cannot be strongly coupled

Journal of High Energy Physics (Impact Factor: 6.11). 07/2010; DOI: 10.1007/JHEP11(2010)047
Source: arXiv


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.

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Available from: Alessandro Tomasiello,
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    • "Interestingly, our work is orthogonal to the work [27] [28] [29] [30] where large families of 1 4 - BPS, AdS 4 solutions have been constructed in IIA supergravity with non-vanishing Romans mass [31]. Solutions with non-vanishing Romans mass cannot be lifted to eleven-dimensional supergravity and, conversely, our Ansatz cannot be reduced to supersymmetric solutions of IIA supergravity because the residual U (1) symmetry in our Ansatz is the R-symmetry and so compactification along this U (1) will break the supersymmetry. "
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    ABSTRACT: Motivated by the geometric structures of supersymmetric holographic RG-flows, we scan for N=2 AdS_4 solutions in M-theory. One particularly well understood holographic RG flow in M-theory is dual to a mass deformation of the N=8 Chern-Simons theory. We utilize an Ansatz which is a natural generalization of this background in our scan. We find a single new solution with non-trivial internal flux and the topology of S^7. Interestingly, despite our Ansatz being quite general, within our system we rule out solutions with internal flux on more general Sasaki-Einstein seven manifolds.
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    • "In other words, the theory is weakly coupled in a region where the curvature is small so that the supergravity approximation can be trusted. These remarks are in agreement with the general conclusions of [7] where it is argued that IIA supergravity cannot be strongly coupled in a region where the curvature is small. "
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    ABSTRACT: The moduli space of the supersymmetric massive IIA AdS4xS2(B4) vacua, where S2(B4) is a two-sphere bundle over a four-dimensional Kaehler-Einstein base B4, includes three independent parameters which can be thought of as corresponding to the sizes of AdS4, B4 and the S2 fiber. It might therefore be expected that these vacua do not suffer from the absence of scale separation. We show that the independence of the geometric moduli survives flux quantization. However, we uncover an attractor behavior whereby all sizes flow to equality in some neighborhood of spacetime independently of the initial conditions set by the parameters of the solution. This is further confirmed by the study of the ratio of internal to external scalar curvatures. We also show that the asymptotic Kaluza-Klein spectrum of a ten-dimensional massive scalar is governed by a scale of the order of the AdS4 radius. Furthermore we point out that the curvature ratio in supersymmetric IIA AdS4 vacua with rigid SU(3) structure is of order one, indicating the absence of scale separation in this large class of vacua.
    Journal of High Energy Physics 06/2012; 2012(8). DOI:10.1007/JHEP08(2012)142 · 6.11 Impact Factor
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    • "The exact planar resolvent was recently written down in [14], and our techniques should lead to explicit expressions for its free energy at strong coupling. Since this theory has a conjectural large N dual described by massive type IIA supergravity, one might be able to test directly in the matrix model many of the results recently discussed in [41]. On a more mathematical level, we have seen that the quenched approximation to the flavored theories studied in this paper involves in a natural way the tropical limit of the connected matrix model correlators (4.10). "
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    ABSTRACT: We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first develop techniques to extract strong coupling results directly from the spectral curve describing the large N master field. We show that the strong coupling limit of the gauge theory corresponds to the so-called tropical limit of the spectral curve. In this limit, the curve degenerates to a planar graph, and matrix model calculations reduce to elementary line integrals along the graph. As an important physical application of these tropical techniques, we study N=3 theories with fundamental matter, both in the quenched and in the unquenched regimes. We calculate the exact spectral curve in the Veneziano limit, and we evaluate the planar free energy and Wilson loop observables at strong coupling by using tropical geometry. The results are in agreement with the predictions of the AdS duals involving tri-Sasakian manifolds
    Journal of High Energy Physics 11/2010; 2011(10). DOI:10.1007/JHEP10(2011)139 · 6.11 Impact Factor
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