Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition

Kodama, Hideo; Ohta, Nobuyoshi

doi:10.1143/ptp.116.295

Cited by 20 publications

(12 citation statements)

References 17 publications

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“…These solutions can be thought of as deformations of AdS 5 × S 5 (in Poincare coordinates) and are dual to strongly coupled N = 4 Yang Mills theory in flat 3 + 1 dimensional space-time subjected to external time dependent or null sources. For other classes of solutions of this type, see [7], [8]. A related approach to gauge theory duals of cosmological singularities has been pursued in [10] and more recently in [11].…”

Section: Introductionmentioning

confidence: 99%

Gauge theories with time dependent couplings and their cosmological duals

et al. 2009

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We consider the N = 4 SYM theory in flat 3 + 1 dimensional spacetime with a time dependent coupling constant which vanishes at t = 0, like g 2 Y M = t p . In an analogous quantum mechanics toy model we find that the response is singular. The energy diverges at t = 0, for a generic state. In addition, if p > 1 the phase of the wave function has a wildly oscillating behavior, which does not allow it to be continued past t = 0. A similar effect would make the gauge theory singular as well, though nontrivial effects of renormalization could tame this singularity and allow a smooth continuation beyond t = 0. The gravity dual in some cases is known to be a time dependent cosmology which exhibits a space-like singularity at t = 0. Our results, if applicable in the gauge theory for the case of the vanishing coupling, imply that the singularity is a genuine sickness and does not admit a meaningful continuation. When the coupling remains non-zero and becomes small at t = 0, the curvature in the bulk becomes of order the string scale. The gauge theory now admits a time evolution beyond this point. In this case, a finite amount of energy is produced which possibly thermalizes and leads to a black hole in the bulk.

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Section: Introductionmentioning

confidence: 99%

Gauge theories with time dependent couplings and their cosmological duals

et al. 2009

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“…The antisymmetric condition is not necessary. We would like to thank the authors of[13] to point this out. For some more general BPS configuration, see[13].…”

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confidence: 98%

The time-dependent supersymmetric configurations in M-theory and matrix models

Chen

2006

Physics Letters B

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In this paper, we study the half-supersymmetric time-dependent configurations in M-theory and their matrix models. We find a large class of 11D supergravity solutions, which keeps sixteen supersymmetries. Furthermore, we investigate the isometries of these configurations and show that in general these configurations have no supernumerary supersymmetry. And also we define the matrix models in these backgrounds following Discrete Light-Cone Quantization (DLCQ) prescription. *

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“…The spirit of our investigation is close to the work on AdS cosmologies in [10] and related work in [11] - [14]. See also [15], [16], [17] for additional work. Discussion of cosmological singularities in the context of Matrix Theory appears in [18].…”

Section: Introductionmentioning

confidence: 63%

Slowly Varying Dilaton Cosmologies and Their Field Theory Duals

Awad¹,

Das²,

Ghosh³

et al. 2011

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We consider a deformation of the AdS 5 × S 5 solution of IIB supergravity obtained by taking the boundary value of the dilaton to be time dependent. The time dependence is taken to be slowly varying on the AdS scale thereby introducing a small parameter ǫ. The boundary dilaton has a profile which asymptotes to a constant in the far past and future and attains a minimum value at intermediate times. We construct the sugra solution to first non-trivial order in ǫ, and find that it is smooth, horizon free, and asymptotically AdS 5 × S 5 in the far future. When the intermediate values of the dilaton becomes small enough the curvature becomes of order the string scale and the sugra approximation breaks down. The resulting dynamics is analysed in the dual SU(N) gauge theory on S 3 with a time dependent coupling constant which varies slowly. When Nǫ ≪ 1, we find that a quantum adiabatic approximation is applicable, and use it to argue that at late times the geometry becomes smooth AdS 5 × S 5 again. When Nǫ ≫ 1, we formulate a classical adiabatic perturbation theory based on coherent states which arises in the large N limit. For large values of the 'tHooft coupling this reproduces the supergravity results. For small 'tHooft coupling the coherent state calculations become involved and we cannot reach a definite conclusion. We argue that the final state should have a dual description which is mostly smooth AdS 5 space with the possible presence of a small black hole.

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Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition

Cited by 20 publications

References 17 publications

Gauge theories with time dependent couplings and their cosmological duals

Gauge theories with time dependent couplings and their cosmological duals

The time-dependent supersymmetric configurations in M-theory and matrix models

Slowly Varying Dilaton Cosmologies and Their Field Theory Duals

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