Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Babalic, Elena Mirela"'
The inverse of the metric matrices on the Siegel-Jacobi upper half space ${\mathcal{X}}^J_n$, invariant to the restricted real Jacobi group $G^J_n(\mathbb{R})_0$ and extended Siegel-Jacobi $\tilde{{\mathcal{X}}}^J_n$ upper half space, invariant to th
Externí odkaz:
http://arxiv.org/abs/2407.04310
Publikováno v:
PoS(BPU11)050, 2023
We discuss the behavior of cosmological curves and their first order infrared approximants near critical ends of the scalar manifold $\Sigma$ and near interior critical points of the scalar potential for tame hyperbolizable two-field cosmological mod
Externí odkaz:
http://arxiv.org/abs/2301.00217
Publikováno v:
Nucl. Phys. B 983 (2022), 115929
We study the first order infared behavior of tame hyperbolizable two-field cosmological models, defined as those classical two-field models whose scalar manifold is a connected, oriented and topologically finite hyperbolizable Riemann surface $(\Sigm
Externí odkaz:
http://arxiv.org/abs/2203.02297
The real Jacobi group $G^J_1(\mathbb{R})={\rm SL}(2,\mathbb{R})\ltimes {\rm H}_1$, where ${\rm H}_1$ denotes the 3-dimensional Heisenberg group, is parametrized by the $S$-coordinates $(x,y,\theta,p,q,\kappa)$. We show that the parameter $\eta$ that
Externí odkaz:
http://arxiv.org/abs/2002.04452
We summarize our work on "hidden" Noether symmetries of multifield cosmological models and the classification of those two-field cosmological models which admit such symmetries.
Comment: 6 pages, conference proceedings for TIM 19 Physics Confere
Comment: 6 pages, conference proceedings for TIM 19 Physics Confere
Externí odkaz:
http://arxiv.org/abs/1910.08441
Publikováno v:
JHEP09(2019)007
We determine the most general time-independent Noether symmetries of two-field cosmological models with rotationally-invariant scalar manifold metrics. In particular, we show that such models can have hidden symmetries, which arise if and only if the
Externí odkaz:
http://arxiv.org/abs/1905.01611
Publikováno v:
FACTA UNIVERSITATIS, Series: Physics, Chemistry and Technology, Vol. 17, No 1, Special Issue, 2019, pp. 1 - 9
We outline the geometric formulation of cosmological flows for FLRW models with scalar matter as well as certain aspects which arise in their study with methods originating from the geometric theory of dynamical systems. We briefly summarize certain
Externí odkaz:
http://arxiv.org/abs/1810.00441
Publikováno v:
JHEP 1904 (2019) 148
We study Noether symmetries in two-field cosmological $\alpha$-attractors, investigating the case when the scalar manifold is an elementary hyperbolic surface. This encompasses and generalizes the case of the Poincare disk. We solve the conditions fo
Externí odkaz:
http://arxiv.org/abs/1809.10563
Publikováno v:
Springer Proceedings in Mathematics & Statistics, Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics, Vol. 2 (2018), 233 - 241
We propose a class of two-field cosmological models derived from gravity coupled to non-linear sigma models whose target space is a non-compact and geometrically-finite hyperbolic surface, which provide a wide generalization of so-called $\alpha$-att
Externí odkaz:
http://arxiv.org/abs/1801.03356
Publikováno v:
Geometric Methods in Physics XXXVI, Trends in Mathematics, Birkhauser 2019, pp. 207--214, ISBN 978-3-030-01156-7
We describe a mathematically rigorous differential model for B-type open-closed topological Landau-Ginzburg theories defined by a pair $(X,W)$, where $X$ is a non-compact K\"ahlerian manifold with holomorphically trivial canonical line bundle and $W$
Externí odkaz:
http://arxiv.org/abs/1709.00684