Ctirad Klimčik is a Slovak mathematical physicist.

*Superintegrability, Killing symmetry and point particle T-duality*, at conference Integrability, Dualities and Deformations, Berlin 2022 yt

We report on a recent progress in the point particle T-duality story. We argue that the ideas related to Killing symmetry, integrability and deformation play an important role not only in a string T-duality story but also in its point particle counterpart. Applying those ideas we find, quite remarkably, that the T-duality seems to be a more widespread phenomenon in the context of the point particle dynamics than in the string one. In this talk, we focus on superintegrable spherically symmetric electro-gravitational backgrounds in n dimensions where we can produce explicit new examples of point particle T-duality having an interesting physical consequences. In particular, the dynamics of a charged particle scattered by a repulsive electric potential in a flat space is T-dual to the dynamics of scattering in the space of constant negative curvature. Thus knowing just the exact Hamiltonian dynamics of the scattered particle cannot give us an information about the curvature of the space in which the particle moves.

category: people

On examples of universal spacetimes:

- Daniele Amati, Ctirad Klimčík,
*Nonperturbative computation of the Weyl anomaly for a class of nontrivial backgrounds*, Phys. Lett. B, 219:443–447, 1989 (spire:269390, 10.1016/0370-2693(89)91092-7)

Introducing the fuzzy 4-sphere:

- Harald Grosse, Ctirad Klimčík, P. Prešnajder,
*On finite 4D quantum field theory in non-commutative geometry*, Commun. Math. Phys.180:429-438, 1996 (arXiv:hep-th/9602115)

On T-duality and the moment map:

- Ctirad Klimcik, Pavol Ševera,
*T-duality and the moment map*, IHES/P/96/70, hep-th/9610198;*Poisson-Lie T-duality: open strings and D-branes*, CERN-TH/95-339. Phys.Lett. B376 (1996) 82-89, hep-th/9512124

Introducing nonabelian T-duality:

- Ctirad Klimčík, Pavol Ševera,
*Dual non-Abelian duality and the Drinfeld double*, Physics Letters B 351:4 (1995) 455-462 (doi:10.1016/0370-2693(95)00451-P)

- Ctirad Klimčik, Pavol Ševera,
*Poisson-Lie T-duality: open strings and D-branes*, CERN-TH/95-339. Phys.Lett. B376 (1996) 82–89, hep-th/9512124

category: people

Last revised on February 10, 2024 at 09:41:37. See the history of this page for a list of all contributions to it.