hrvatski jezikClear Cookie - decide language by browser settings

Geometric BV for twisted Courant sigma models and the BRST power finesse

Chatzistavrakidis, Athanasios; Ikeda, Noriaki; Jonke, Larisa (2024) Geometric BV for twisted Courant sigma models and the BRST power finesse. Journal of High Energy Physics, 2024 (7). ISSN 1029-8479

[img] PDF - Published Version - article
Available under License Creative Commons Attribution.

Download (688kB)

Abstract

We study twisted Courant sigma models, a class of topological field theories arising from the coupling of 3D 0-/2-form BF theory and Chern-Simons theory and containing a 4-form Wess-Zumino term. They are examples of theories featuring a nonlinearly open gauge algebra, where products of field equations appear in the commutator of gauge transformations, and they are reducible gauge systems. We determine the solution to the master equation using a technique, the BRST power finesse, that combines aspects of the AKSZ construction (which applies to the untwisted model) and the general BV-BRST formalism. This allows for a geometric interpretation of the BV coefficients in the interaction terms of the master action in terms of an induced generalised connection on a 4-form twisted (pre-)Courant algebroid, its Gualtieri torsion and the basic curvature tensor. It also produces a frame independent formulation of the model. We show, moreover, that the gauge fixed action is the sum of the classical one and a BRST commutator, as expected from a Schwarz type topological field theory.

Item Type: Article
Uncontrolled Keywords: BRST quantization; sigma models; differential and algebraic geometry; topological field theories
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Simetrije u kvantnoj gravitaciji-SYMM4QGLarisa Jonke; Marija Dimitrijevic CiricIP-2019-04-4168HRZZ
Depositing User: Larisa Jonke
Date Deposited: 17 Apr 2025 13:09
URI: http://fulir.irb.hr/id/eprint/9710
DOI: 10.1007/jhep07(2024)115

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

Contrast
Increase Font
Decrease Font
Dyslexic Font
Accessibility