|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Gauge PDE and AKSZ-type Sigma Models | | Maxim Grigoriev
; Alexei Kotov
; | | Date: |
7 Mar 2019 | | Abstract: | A gauge PDE is a natural notion which arises by abstracting what physicists
call a local gauge field theory defined in terms of BV-BRST differential (not
necessarily Lagrangian). We study supergeometry of gauge PDEs paying particular
attention to globally well-defined definitions and equivalences of such
objects. We demonstrate that a natural geometrical language to work with gauge
PDEs is that of $Q$-bundles. In particular, we demonstrate that any gauge PDE
can be embedded into a super-jet bundle of the $Q$-bundle. This gives a
globally well-defined version of the so-called parent formulation. In the case
of reparameterization-invariant systems, the parent formulation takes the form
of an AKSZ-type sigma model with an infinite-dimensional target space. | | Source: | arXiv, 1903.2820 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER