Výsledky vyhledávání - "Hronek, Stanislav"

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Pseudo-Riemannian and Hessian Geometry Related to Monge-Amp\`ere Structures

Autor: Suchánek, Radek, Hronek, Stanislav

Publikováno v: HRONEK, Stanislav and Radek SUCH\'ANEK. PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES. Archivum Mathematicum. Brno: Masarykova univerzita, 2022, vol. 58, No 5, p. 329-338. ISSN 1212-5059

We study properties of pseudo-Riemannian metrics corresponding to Monge-Amp\`ere structures on four-dimensional $T^*M$. We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Pl\"ucker embedding equati

Externí odkaz: http://arxiv.org/abs/2305.03579

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The $\alpha'^2$ correction from double field theory

Autor: Hronek, Stanislav, Wulff, Linus, Zacarias, Salomon

It is known that the order $\alpha'$ correction to the tree-level effective action for the bosonic and heterotic string can be described in the framework of Double Field Theory (DFT). Here we determine the DFT action and transformations at order $\al

Externí odkaz: http://arxiv.org/abs/2206.10640

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String theory at order $\alpha'^2$ and the generalized Bergshoeff-de Roo identification

Autor: Hronek, Stanislav, Wulff, Linus

Publikováno v: JHEP 11 (2021) 186

It has been shown by Marques and Nunez that the first $\alpha'$-correction to the bosonic and heterotic string can be captured in the $O(D,D)$ covariant formalism of Double Field Theory via a certain two-parameter deformation of the double Lorentz tr

Externí odkaz: http://arxiv.org/abs/2109.12200

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O(D,D) and the string $\alpha'$ expansion: An obstruction

Autor: Hronek, Stanislav, Wulff, Linus

Double Field Theory (DFT) is an attempt to make the O(d,d) T-duality symmetry of string theory manifest, already before reducing on a d-torus. It is known that supergravity can be formulated in an O(D,D) covariant way, and remarkably this remains tru

Externí odkaz: http://arxiv.org/abs/2012.13410

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Relaxing unimodularity for Yang-Baxter deformed strings

Autor: Hronek, Stanislav, Wulff, Linus

We consider so-called Yang-Baxter deformations of bosonic string sigma-models, based on an $R$-matrix solving the (modified) classical Yang-Baxter equation. It is known that a unimodularity condition on $R$ is sufficient for Weyl invariance at least

Externí odkaz: http://arxiv.org/abs/2007.15663

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Weak inverse problem of calculus of variations for geodesic mappings and relation to harmonic maps

Autor: Hronek, Stanislav

Publikováno v: Chapter in the Book: Nonlinear PDEs, Their Geometry, and Applications, Birkh\"auser Basel 2019

In this paper, we study the relation between geodesic and harmonic mappings. Harmonic mappings are defined between Riemannian manifolds as critical points of the energy functional, on the other hand, geodesic mappings are defined in a more general se

Externí odkaz: http://arxiv.org/abs/1910.14089

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