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Non-singular string cosmology in a 2d Hybrid model
High Energy Physics - Theory · Submitted 30 Aug 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The existence of non-singular string cosmologies is established in a class of two-dimensional supersymmetric Hybrid models at finite temperature.
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The abstract, sentence by sentence
The existence of non-singular string cosmologies is established in a class of two-dimensional supersymmetric Hybrid models at finite temperature. The left-moving sector of the Hybrid models gives rise to 16 real (N_4=4) spacetime supercharges as in the usual superstring models. The right-moving sector is non-supersymmetric at the massless level, but is characterized by MSDS symmetry, which ensures boson/fermion degeneracy of the right-moving massive levels. Finite temperature configurations, which are free of Hagedorn instabilities, are constructed in the presence of non-trivial "gravito-magnetic" fluxes. These fluxes inject non-trivial winding charge into the thermal vacuum and restore the thermal T-duality symmetry associated with the Euclidean time circle. Thanks to the unbroken right-moving MSDS symmetry, the one-loop string partition function is exactly calculable beyond any alpha'-approximation. At the self-dual point new massless thermal states appear, sourcing localized spacelike branes, which can be used to connect a contracting thermal Universe to an expanding one. The resulting bouncing cosmology is free of any curvature singularities and the string coupling remains perturbative throughout the cosmological evolution.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The existence of non-singular string cosmologies is established in a class of two-dimensional supersymmetric Hybrid models at finite temperature. | result 0.86 | 0.82 | 0.84 | asserted 1.00 |
| s1 | The left-moving sector of the Hybrid models gives rise to 16 real (N_4=4) spacetime supercharges as in the usual superstring models. | background 0.52 | 0.39 | 0.04 | asserted 1.00 |
| s2 | The right-moving sector is non-supersymmetric at the massless level, but is characterized by MSDS symmetry, which ensures boson/fermion degeneracy of the right-moving massive levels. | method 0.49 | 0.57 | 0.05 | asserted 1.00 |
| s3 | Finite temperature configurations, which are free of Hagedorn instabilities, are constructed in the presence of non-trivial "gravito-magnetic" fluxes. | contribution 0.60 | 0.85 | 0.07 | asserted 1.00 |
| s4 | These fluxes inject non-trivial winding charge into the thermal vacuum and restore the thermal T-duality symmetry associated with the Euclidean time circle. | result 0.66 | 0.76 | 0.06 | asserted 1.00 |
| s5 | Thanks to the unbroken right-moving MSDS symmetry, the one-loop string partition function is exactly calculable beyond any alpha'-approximation. | method 0.63 | 0.71 | 0.09 | asserted 1.00 |
| s6 | At the self-dual point new massless thermal states appear, sourcing localized spacelike branes, which can be used to connect a contracting thermal Universe to an expanding one. | result 0.86 | 0.79 | 0.20 | asserted 0.75 |
| s7 | The resulting bouncing cosmology is free of any curvature singularities and the string coupling remains perturbative throughout the cosmological evolution. | result 0.99 | 0.85 | 0.65 | asserted 1.00 |
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The paper
Original abstract
The existence of non-singular string cosmologies is established in a class of two-dimensional supersymmetric Hybrid models at finite temperature. The left-moving sector of the Hybrid models gives rise to 16 real (N_4=4) spacetime supercharges as in the usual superstring models. The right-moving sector is non-supersymmetric at the massless level, but is characterized by MSDS symmetry, which ensures boson/fermion degeneracy of the right-moving massive levels. Finite temperature configurations, which are free of Hagedorn instabilities, are constructed in the presence of non-trivial "gravito-magnetic" fluxes. These fluxes inject non-trivial winding charge into the thermal vacuum and restore the thermal T-duality symmetry associated with the Euclidean time circle. Thanks to the unbroken right-moving MSDS symmetry, the one-loop string partition function is exactly calculable beyond any alpha'-approximation. At the self-dual point new massless thermal states appear, sourcing localized spacelike branes, which can be used to connect a contracting thermal Universe to an expanding one. The resulting bouncing cosmology is free of any curvature singularities and the string coupling remains perturbative throughout the cosmological evolution.
Human review
References
How the literature uses it
18 arXiv papers cite this in 81 sentences
Papers citing it · 65 sentences without a confident label
Builds on it 2 papers
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This is the generalization of the Hybrid model result [ref] to arbitrary dimensions via right-moving asymptotic supersymmetry.
Thermal duality and non-singular cosmology in d-dimensional superstrings · Thermal duality and the Hagedorn transition · 1.00
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The $C<0$ solutions with an intermediate Brane regime ($τ_-<τ<τ_+$) extend the non-singular bouncing cosmologies of Refs [ref] , where the Brane regime collapses to a single instant in time.
S-brane to thermal non-singular string cosmology · Conclusions · 0.99
Uses its method or tool 1 paper
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Mapping the integral over the fundamental domain to an integral over the strip as in [ref] (see also [ref] ), we obtain [ Z V_d-1= 2R_0∑_k̃=0^∞∫_|| d^2 τ/4(2π)^d-1τ_2^1+d/2 e^-(2k̃+1)^2πR_0^2τ_2 θ_2^4η^12; ×Γ_(9-d,9-d)η̅^8∑_m_9,n_9(V̅_8 Γ_m_9,2n_9 + O̅_8 Γ_m_9 +1/2,2n_9 +1 - S̅_8 Γ_m_9 +1/2 , 2 n_9 -C̅_8 Γ_m_9, 2n_9 +1 )_R_9=R_c, ]
Thermal duality and non-singular cosmology in d-dimensional superstrings · Thermal duality and the Hagedorn transition · 0.89
Compares with it 1 paper
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This expression reproduces the free energy of [ref] in a straightforward and chamber-independent fashion.
Rankin-Selberg methods for closed strings on orbifolds · Thermal type II: a very special example · 0.98
Cites it as support 1 paper
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As a result the stringy phase transition at $R_c$ can be resolved in the presence of genus-zero condensates of the additional massless thermal states, which can mediate transitions between purely winding and momentum states, “gluing together” the asymptotic regimes [ref] .
Aspects of String Cosmology · Thermal configurations of type II $N=(4,0)$ models · 0.96
Cites it as background 6 papers
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In Refs [ref] , this situation has been considered in great detail.
S-brane to thermal non-singular string cosmology · Microscopic origin of the action in the Brane regime · 0.87
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Typical examples include the tachyon-free type II $_4=(4,0)$ models at finite temperature and in the presence of non-trivial gravito-magnetic fluxes, which are described in great detail in the literature [ref] .
Thermal duality and non-singular cosmology in d-dimensional superstrings · Introduction · 0.84
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More recently, there is another line of work developed in [ref] , which attempts to construct a first-principles string theory scenario for cosmology, simply based on string theory subjected to cosmological principles.
Lecture notes on thermodynamics of ideal string gases and its application in cosmology · Introduction and summary · 0.90
What it cites · 48 sentences without a confident label
Builds on 1 paper
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The thermal configurations remain tachyon-free under all possible deformations of the dynamical, transverse moduli associated with the internal spatial sub-lattice, and of the thermal modulus $R_0$ [ref] .
Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry · Thermal (4,0)-type II string vacua · 0.94
Uses data or values from 1 paper
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The specific values of the $(8,8)$-moduli corresponding to the fermionic/MSDS point are given in [ref] .].
Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry · The tachyon-free thermal Hybrid model · 0.94
Compares with 2 papers
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Similar behavior is exhibited in thermal configurations associated to non-critical heterotic strings in 2d [ref] .
Heterotic Strings in Two Dimensions and New Stringy Phase Transitions · The tachyon-free thermal Hybrid model · 0.99
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We would like to stress here that our stringy, singularity-free cosmological solution differs from various incarnations of the pre- Big Bang scenario [ref] , which require the application of a non-perturbative S-duality symmetry in order to resolve the very early, pre- Big Bang phase.
Pre-Big-Bang in String Cosmology · Introduction · 0.98
Cites as background 21 papers
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A detailed study of the classical moduli space of the MSDS and Hybrid vacua, as well as the study of marginal deformations connecting these vacua to four dimensional supersymmetric vacua, can be found in [ref] .
Marginal Deformations of Vacua with Massive boson-fermion Degeneracy Symmetry · The tachyon-free thermal Hybrid model · 0.92
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The Hybrid models describe very special $(4,0)$-supersymmetric vacua: the right-moving supersymmetries are broken spontaneously at the string level via the coupling of an internal cycle to $F_R$, and are replaced by the Massive Spectrum Degeneracy Symmetries (MSDS) of [ref] .
Orbifold Symmetry Reductions of Massive Boson-Fermion Degeneracy · The tachyon-free thermal Hybrid model · 0.88
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The Hybrid models describe very special $(4,0)$-supersymmetric vacua: the right-moving supersymmetries are broken spontaneously at the string level via the coupling of an internal cycle to $F_R$, and are replaced by the Massive Spectrum Degeneracy Symmetries (MSDS) of [ref] .
Massive Boson-Fermion Degeneracy and the Early Structure of the Universe · The tachyon-free thermal Hybrid model · 0.88
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