Gauged Wess–Zumino–Witten actions for generalized Poincaré algebras

Salgado, S.; Izaurieta, Fernando; González, Nelson; Rubio, Gustavo

doi:10.1016/j.physletb.2014.03.038

Cited by 6 publications

(6 citation statements)

References 38 publications

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“…In Refs. [19][20][21] it was shown that a five-dimensional Chern-Simons action invariant under the generalized Poincaré algebra B 5 induces a gauged Wess-Zumino-Witten term containing the four-dimensional Einstein-Hilbert action.…”

Section: Deceleratedmentioning

confidence: 99%

Accelerated FRW solutions in Chern–Simons gravity

et al. 2014

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We consider a five-dimensional Einstein-ChernSimons action which is composed of a gravitational sector and a sector of matter where the gravitational sector is given by a Chern-Simons gravity action instead of the EinsteinHilbert action and where the matter sector is given by the socalled perfect fluid. It is shown that (i) the Einstein-ChernSimons (EChS) field equations subject to suitable conditions can be written in a similar way to the Einstein-Maxwell field equations; (ii) these equations have solutions that describe an accelerated expansion for the three possible cosmological models of the universe, namely, spherical expansion, flat expansion, and hyperbolic expansion when α, a parameter of the theory, is greater than zero. This result allows us to conjecture that these solutions are compatible with the era of dark energy and that the energy-momentum tensor for the field h a , a bosonic gauge field from the Chern-Simons gravity action, corresponds to a form of positive cosmological constant. It is also shown that the EChS field equations have solutions compatible with the era of matter: (i) In the case of an open universe, the solutions correspond to an accelerated expansion (α > 0) with a minimum scale factor at initial time that, when time goes to infinity, the scale factor behaves as a hyperbolic sine function. (ii) In the case of a flat universe, the solutions describe an accelerated expansion whose scale factor behaves as an exponential function of time. (iii) In the case of a closed universe there is found only one solution for a universe in expansion, which behaves as a hyperbolic cosine function of time.

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Section: Deceleratedmentioning

confidence: 99%

Accelerated FRW solutions in Chern–Simons gravity

et al. 2014

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“…From (20)(21)(22) we can see that if L M = 0, then in five dimensions there is no solution of Schwarzschild type [1], [9].…”

Section: Einstein-chern-simons Field Equationsmentioning

confidence: 99%

“…This means that General Relativity can be seen as a low energy limit of Einstein-Chern-Simons gravity. So that, in the range of validity of the General Relativity, the equations (20)(21)(22) are given by…”

Section: Einstein-chern-simons Field Equationsmentioning

confidence: 99%

“…On the another hand, if R ab is large enough, so that when it is multiplied by l 2 (which is very small) will have a non-negligible results, then we will find that δL M /δh a is not negligible. This means that, in this case, we must consider the entire system of equations (20)(21)(22).…”

Section: Einstein-chern-simons Field Equationsmentioning

confidence: 99%

“…In Refs. [19], [20], [21], was shown that a five-dimensional Chern-Simons action invariant under the generalized Poincare algebra…”

Section: Deceleratementioning

confidence: 99%

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Accelerated FRW Solutions in Chern-Simons Gravity

Crisostomo,

Gomez,

Salgado

et al. 2014

Preprint

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We consider a five-dimensional Einstein-Chern-Simons action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Chern-Simons gravity action instead of the Einstein-Hilbert action and where the matter sector is given by the so called perfect fluid. It is shown that (i) the Einstein-Chern-Simons (EChS) field equations subject to suitable conditions can be written in a similar way to the Einstein-Maxwell field equations; (ii) these equations have solutions that describe accelerated expansion for the three possible cosmological models of the universe, namely, spherical expansion, flat expansion and hyperbolic expansion when α, a parameter of theory, is greater than zero. This result allow us to conjeture that this solutions are compatible with the era of Dark Energy and that the energy-momentum tensor for the field h a , a bosonic gauge field from the Chern-Simons gravity action, corresponds to a form of positive cosmological constant.It is also shown that the EChS field equations have solutions compatible with the era of matter:(i) In the case of an open universe, the solutions correspond to an accelerated expansion (α > 0) with a minimum scale factor at initial time that, when the time goes to infinity, the scale factor behaves as a hyperbolic sine function. (ii) In the case of a flat universe, the solutions describing an accelerated expansion whose scale factor behaves as a exponencial function when time grows.(iii) In the case of a closed universe it is found only one solution for a universe in expansion, which behaves as a hyperbolic cosine function when time grows.

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Four dimensional topological supergravities from transgression field theory

Concha,

Izaurieta,

Rodríguez

et al. 2024

J. High Energ. Phys.

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In this work, we propose a four-dimensional gauged Wess-Zumino-Witten model, obtained as a dimensional reduction from a transgression field theory invariant under the $$ \mathcal{N} $$ N = 1 Poincaré supergroup. For this purpose, we consider that the two gauge connections on which the transgression action principle depends are given by linear and non-linear realizations of the gauge group respectively. The field content of the resulting four-dimensional theory is given by the gauge fields of the linear connection, in addition to a set of scalar and spinor multiplets in the same representation of the gauge supergroup, which in turn, correspond to the coordinates of the coset space between the gauge group and the five-dimensional Lorentz group. We then decompose the action in terms of four-dimensional quantities and derive the corresponding equations of motion. We extend our analysis to the non- and ultra- relativistic regimes.

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Gauged Wess–Zumino–Witten actions for generalized Poincaré algebras

Cited by 6 publications

References 38 publications

Accelerated FRW solutions in Chern–Simons gravity

Accelerated FRW solutions in Chern–Simons gravity

Accelerated FRW Solutions in Chern-Simons Gravity

Four dimensional topological supergravities from transgression field theory

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