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pro vyhledávání: '"Strobl, Thomas"'
Given a commutative algebra $\mathcal O$, a proper ideal $\mathcal I$, and a resolution of $\mathcal O/ \mathcal I$ by projective $\mathcal O $-modules, we construct an explicit Koszul-Tate resolution. We call it the arborescent Koszul-Tate resolutio
Externí odkaz:
http://arxiv.org/abs/2406.03955
Autor:
Nahari, Hadi, Strobl, Thomas
We recall the notion of a singular foliation (SF) on a manifold $M$, viewed as an appropriate submodule of $\mathfrak{X}(M)$, and adapt it to the presence of a Riemannian metric $g$, yielding a module version of a singular Riemannian foliation (SRF).
Externí odkaz:
http://arxiv.org/abs/2210.17306
We present the construction of the classical Batalin-Vilkovisky action for topological Dirac sigma models. The latter are two-dimensional topological field theories that simultaneously generalise the completely gauged Wess-Zumino-Novikov-Witten model
Externí odkaz:
http://arxiv.org/abs/2206.14258
Autor:
Hancharuk, Aliaksandr, Strobl, Thomas
We consider mechanical systems on $T^*M$ with possibly irregular and reducible first class contraints linear in the momenta, which thus correspond to singular foliations on $M$. According to a recent result, the latter ones have a Lie-infinity algebr
Externí odkaz:
http://arxiv.org/abs/2104.12257
Autor:
Ikeda, Noriaki, Strobl, Thomas
The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Grigoriev and Damgaard introduced simple formulas for obtaining the latter from the former. Since BFV relies on the Hamiltonian version of
Externí odkaz:
http://arxiv.org/abs/2007.15912
Autor:
Ikeda, Noriaki, Strobl, Thomas
We present the BFV and the BV extension of the Poisson sigma model (PSM) twisted by a closed 3-form H. There exist superfield versions of these functionals such as for the PSM and, more generally, for the AKSZ sigma models. However, in contrast to th
Externí odkaz:
http://arxiv.org/abs/1912.13511
Autor:
Kotov, Alexei, Strobl, Thomas
Publikováno v:
Journal of Geometry and Physics, Volume 135, January 2019, Pages 1-6
Consider an anchored bundle $(E,\rho)$, i.e. a vector bundle $E\to M$ equipped with a bundle map $\rho \colon E \to TM$ covering the identity. M.~Kapranov showed in the context of Lie-Rinehard algebras that there exists an extension of this anchored
Externí odkaz:
http://arxiv.org/abs/1904.05809
Autor:
Strobl, Thomas
Publikováno v:
Phys. Rev. D 99, 115026 (2019)
A quadratic Leibniz algebra $(\mathbb{V},[ \cdot, \cdot ],\kappa)$ gives rise to a canonical Yang-Mills type functional $S$ over every space-time manifold. The gauge fields consist of 1-forms $A$ taking values in $\mathbb{V}$ and 2-forms $B$ with val
Externí odkaz:
http://arxiv.org/abs/1903.07365
Autor:
Severa, Pavol, Strobl, Thomas
We reformulate the compatibility condition between a generalized metric and a small (non-maximal rank) Dirac structure in an exact Courant algebroid found in the context of the gauging of strings and formulated by means of two connections in purely D
Externí odkaz:
http://arxiv.org/abs/1901.08904
Autor:
Strobl, Thomas, Wagemann, Friedrich
An enhanced Leibniz algebra is an algebraic struture that arises in the context of particular higher gauge theories describing self-interacting gerbes. It consists of a Leibniz algebra $(\mathbb{V},[ \cdot, \cdot ])$, a bilinear form on $\mathbb{V}$
Externí odkaz:
http://arxiv.org/abs/1901.01014