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Supersymmteric Null-like Holographic Cosmologies
High Energy Physics - Theory · Submitted 13 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity.
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The abstract, sentence by sentence
We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. Based on the domain-wall/QFT correspondence, these solutions are dual to 1/4-supersymmetric quantum field theories living on a boundary cosmological background with time dependent coupling constant and UV cutoff. In particular we evaluate the holographic $c$ function for the 2-dimensional dual field theory living on the corresponding null-like cosmology. We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. | contribution 1.00 | 0.96 | 0.20 | asserted 1.00 |
| s1 | Based on the domain-wall/QFT correspondence, these solutions are dual to 1/4-supersymmetric quantum field theories living on a boundary cosmological background with time dependent coupling constant and UV cutoff. | interpretation 0.63 | 0.52 | 0.10 | asserted 1.00 |
| s2 | In particular we evaluate the holographic $c$ function for the 2-dimensional dual field theory living on the corresponding null-like cosmology. | contribution 0.79 | 0.95 | 0.06 | asserted 0.99 |
| s3 | We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity. | interpretation 0.61 | 0.96 | 0.76 | hedged possibility 0.56 |
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The paper
Original abstract
We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. Based on the domain-wall/QFT correspondence, these solutions are dual to 1/4-supersymmetric quantum field theories living on a boundary cosmological background with time dependent coupling constant and UV cutoff. In particular we evaluate the holographic $c$ function for the 2-dimensional dual field theory living on the corresponding null-like cosmology. We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity.
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How the literature uses it
9 arXiv papers cite this in 11 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 4 papers
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With this motivation some cosmological solutions which admit natural gauge theory duals have been constructed and studied recently [ref] .
Gauge Theories with Time Dependent Couplings and their Cosmological Duals · Introduction and Summary · 0.81
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We consider cosmological spacetimes with null time-dependence in this section: there are parallels with the discussions in [ref] , as well as [ref] .
Cosmologies, singularities and quantum extremal surfaces · Null cosmologies and quantum extremal surfaces · 0.81
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Time dependent couplings have also been considered, for instance, in [ref] .
Supersymmetric Gauge Theory with Space-time Dependent Couplings · Introduction · 0.93
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