Homotopy algebry ve vyšších kalibračnich teoriích
Thesis title in Czech: | Homotopy algebry ve vyšších kalibračnich teoriích |
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Thesis title in English: | Homotopy algebras in higher gauge theories |
Key words: | Supergeometrie, homotopy algebry, vyšší kalibračni teorie, Penrosova-Wardova transformace, brane scan |
English key words: | Supergeometry, homotopy algebras, higher gauge theories, Penrose-Ward transform, brane scan |
Academic year of topic announcement: | 2016/2017 |
Thesis type: | dissertation |
Thesis language: | |
Department: | Mathematical Institute of Charles University (32-MUUK) |
Supervisor: | prof. Ing. Branislav Jurčo, CSc., DSc. |
Author: | hidden - assigned and confirmed by the Study Dept. |
Date of registration: | 22.09.2017 |
Date of assignment: | 22.09.2017 |
Confirmed by Study dept. on: | 03.10.2017 |
Guidelines |
The thesis will be devoted to a study of higher gauge theories using the methods of supergeometry, simplicial homotopy theory and homotopy algebras.
Recently, a general formulation of higher gauge theory, homotopy algebras and higher Penrose transform have been formulated and applied to the geometry of 5-branes in Ref. 1. Also for general super p-branes, their geometry is naturally formulated using of (super) homotopy algebras in Ref 3. The goal will be extend the general methods of Ref. 1 to super p-branes. |
References |
1. Branislav Jurco, Christian Saemann, Martin Wolf, Higher Groupoid Bundles, Higher Spaces, and Self-Dual Tensor Field Equations, Fortschr. Phys. 64, 674-717 (2016)
2. Branislav Jurco, Christian Saemann, Martin Wolf, Semistrict Higher Gauge Theory, JHEP 04 (2015) 087 3. Domenico Fiorenza, Hisham Sati, Urs Schreiber, Super Lie n n-algebra extensions, higher WZW models and super p-branes with tensor multiplet fields, International Journal of Geometric Methods in Modern Physics,Volume 12, Issue 02 (2015) 1550018 (35 pages) 4. https://ncatlab.org/nlab/show/geometry+of+physics+--+supergeometry+and+superphysics 5. Leonardo Castellani, Riccardo D'Auria, Pietro Fré, Supergravity and Superstrings - A Geometric Perspective, World Scientific (1991) |