Monopole star products are non-alternative

Autor: Martin Bojowald, Suddhasattwa Brahma, Umut Büyükçam, Thomas Strobl

Publikováno v: Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-18 (2017)

Abstract Non-associative algebras appear in some quantum-mechanical systems, for instance if a charged particle in a distribution of magnetic monopoles is considered. Using methods of deformation quantization it is shown here, that algebras for such

Externí odkaz: https://doaj.org/article/1fe1bb28c26b4270aa2abcabbe6b4041

BV and BFV for the H-twisted Poisson sigma model

Autor: Thomas Strobl, Noriaki Ikeda

Publikováno v: Annales Henri Poincare
Annales Henri Poincare, 2021, 22 (4), pp.1267-1316. ⟨10.1007/s00023-020-00988-0⟩

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1982c95a214f6318c97ac67a2d447e9f
https://hal.archives-ouvertes.fr/hal-02458743

The Universal Lie $\infty$-Algebroid of a Singular Foliation

Autor: Camille Laurent-Gengoux, Sylvain Lavau, Thomas Strobl

We consider singular foliations ${\cal F}$ as locally finitely generated $ {\mathscr O}$-submodules of $ {\mathscr O}$-derivations closed under the Lie bracket, where ${\mathscr O}$ is the ring of smooth, holomorphic, or real analytic functions on a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13734beffb3adefee591972c175a1766

From BFV to BV and spacetime covariance

Autor: Thomas Strobl, Noriaki Ikeda

Publikováno v: Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2020, 12, pp.141. ⟨10.1007/JHEP12(2020)141⟩
Journal of High Energy Physics, Vol 2020, Iss 12, Pp 1-42 (2020)

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06d14409cad1c8879f826cf9e00e4dfd

Leibniz-Yang-Mills Gauge Theories and the 2-Higgs Mechanism

Autor: Thomas Strobl

Publikováno v: Phys.Rev.D
Phys.Rev.D, 2019, 99 (11), pp.115026. ⟨10.1103/PhysRevD.99.115026⟩
Physical Review
Physical Review D
Physical Review D, American Physical Society, 2019, 99 (11), pp.115026. ⟨10.1103/PhysRevD.99.115026⟩

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3e2b1054fb4115f0c316a9d4c0285a4
https://hal.archives-ouvertes.fr/hal-02088633