Krzysztof Gawędzki (1947–2022) was a mathematical physicist. Much of his works is related to conformal field theory, especially geometric aspects of WZNW models. More recently he studies turbulence. He has helped identify the Kalb-Ramond field/B-field with a cocycle in ordinary differential cohomology (in Deligne cohomology/a bundle gerbe with connection).
Pronounciation note: the Polish ‘ę’ (cf. wikipedia) has a nazalization.
On supergeometry and supermanifolds:
On 2d conformal field theory and introducing Deligne cohomology in degree 3 (bundle gerbes with connection) as global models for the background B-field, such as in the WZW model:
Krzysztof Gawędzki, Topological Actions in two-dimensional Quantum Field Theories, in: Nonperturbative quantum field theory, Nato Science Series B 185, Springer (1988) [spire:257658, doi:10.1007/978-1-4613-0729-7_5, pdf]
Krzysztof Gawędzki: Lectures on Conformal Field Theory, in Quantum Fields and Strings (1999) [cds:322984, pdf, pdf]
and with emphasis on the WZW model and its relation to Chern-Simons theory via the CS-WZW correspondence:
On theta functions via SU(2) Chern-Simons theory on the torus:
On the basic bundle gerbe over a compact simple Lie group in relation to the WZW model:
Krzysztof Gawędzki, Nuno Reis, WZW branes and gerbes, Rev. Math. Phys. 14 (2002) 1281-1334 [arXiv:hep-th/0205233, doi:10.1142/S0129055X02001557]
Krzysztof Gawędzki, Nuno Reis, Basic gerbe over non-simply connected compact groups, Journal of Geometry and Physics 50 1-4 (2004) 28–55 [arXiv:0307010, doi:10.1016/j.geomphys.2003.11.004]
On gauge anomalies in WZW models:
Last revised on January 30, 2026 at 05:57:49. See the history of this page for a list of all contributions to it.