Non-Abelian T-duality in pre-big-bang cosmology

Bossard, A.

doi:10.1016/s0550-3213(02)01092-1

Cited by 4 publications

(4 citation statements)

References 29 publications

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“…where f cd b are structure coefficients of the Lie algebra of the group G and ĝb are coordinates of the Abelian group G. Equations ( 24)-( 26) then become the Buscher formulas for non-Abelian T-duality (see [18][19][20]). The dual tensor (21) in this case can be written as…”

Section: Dual Tensor Fieldmentioning

confidence: 99%

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Plane-parallel waves as duals of the flat background II: T-duality with spectators

Petrasek¹,

Hlavatý²,

Petr³

2017

Class. Quantum Grav.

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We give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincaré group using non-Abelian T-duality with spectators. As duals we find backgrounds for sigma models in the form of plane-parallel waves or diagonalizable curved metrics often with torsion. Among others, we find exactly solvable time-dependent isotropic pp-wave, singular ppwaves, or generalized plane wave (K-model).

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Section: Dual Tensor Fieldmentioning

confidence: 99%

“…Applications of non-Abelian duality in cosmology, more precisely on FLRW metrics, can be found e.g. in [21].…”

Section: Introductionmentioning

confidence: 99%

Plane-parallel waves as duals of the flat background II: T-duality with spectators

Petrasek¹,

Hlavatý²,

Petr³

2017

Class. Quantum Grav.

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“…These results may have interesting applications in the context of the Pre-Big Bang scenario, in particular in relation with the graceful exit problem. Also, the equivalence between bulk and brane duality might be extended by means of non-Abelian T-dualities [20,21] or to more general string backgrounds. We think that all these aspects deserve further investigations.…”

Section: Discussionmentioning

confidence: 99%

Brane-worlds in T-dual bulks

Rinaldi

2004

Physics Letters B

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We consider brane-world models with a Schwarzschild-AdS black hole bulk. In the particular case of a flat black hole horizon geometry, we study the behaviour of the brane cosmological equations when T-duality transformations act on the bulk. We find that the scale factor is inverted and that either the Friedmann equation or the energy conservation equation are unchanged. However, these become both invariant if we include a tension in the brane action. In this case, the T-duality in the bulk is completely equivalent to the scale factor duality on the brane.

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“…where g, h ∈ G, g, h ∈ G. The map h : R 2 → G that we need for this transformation is the solution to the equations (9,10). The equation ( 12) then defines the Poisson-Lie transformation between the solution of the equations of motion of the original sigma model and its dual.…”

Section: Elements Of Poisson-lie T-dual Sigma Modelsmentioning

confidence: 99%

New Solvable Sigma Models in Plane-Parallel Wave Background

Hlavatý

Petr

2014

Int. J. Mod. Phys. A

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We explicitly solve the classical equations of motion for strings in backgrounds obtained as non-abelian T-duals of a homogeneous isotropic plane-parallel wave. To construct the dual backgrounds, semi-abelian Drinfeld doubles are used which contain the isometry group of the homogeneous plane wave metric. The dual solutions are then found by the Poisson-Lie transformation of the explicit solution of the original homogeneous plane wave background. Investigating their Killing vectors, we have found that the dual backgrounds can be transformed to the form of more general plane-parallel waves.

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Non-Abelian T-duality in pre-big-bang cosmology

Abstract: We study the impact of non-Abelian T-duality transformations on a string based cosmological model. The implementation of the pre-big-bang scenario is investigated. We found a region of the dual phase where such a picture is possible. 1

Cited by 4 publications

References 29 publications

Plane-parallel waves as duals of the flat background II: T-duality with spectators

Plane-parallel waves as duals of the flat background II: T-duality with spectators

Brane-worlds in T-dual bulks

New Solvable Sigma Models in Plane-Parallel Wave Background

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