Brane mechanics and gapped Lie n-algebroids

Chatzistavrakidis, Athanasios; Kodžoman, Toni; Škoda, Zoran (2024) Brane mechanics and gapped Lie n-algebroids. Journal of High Energy Physics, 2024 (8). ISSN 1029-8479

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Abstract

We draw a parallel between the BV/BRST formalism for higher-dimensional () Hamiltonian mechanics and higher notions of torsion and basic curvature tensors for generalized connections in specific Lie -algebroids based on homotopy Poisson structures. The gauge systems we consider include Poisson sigma models in any dimension and ``generalised R-flux'' deformations thereof, such as models with an -form-twisted R-Poisson target space. Their BV/BRST action includes interaction terms among the fields, ghosts and antifields whose coefficients acquire a geometric meaning by considering twisted Koszul multibrackets that endow the target space with a structure that we call a gapped almost Lie -algebroid. Studying covariant derivatives along -forms, we define suitable polytorsion and basic polycurvature tensors and identify them with the interaction coefficients in the gauge theory, thus relating models for topological -branes to differential geometry on Lie -algebroids.

Item Type:	Article
Uncontrolled Keywords:	diferencijalna geometrija; kvantizacija po BRST; p-brane; sigma modeli; Liejevi algebroidi
Subjects:	NATURAL SCIENCES NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Nove geometrije za gravitaciju i prostor-vrijeme-GRASP Athanasios Chatzistavrakidis IP-2018-01-7615 HRZZ Simetrije u kvantnoj gravitaciji-SYMM4QG Larisa Jonke; Marija Dimitrijevic Ciric IP-2019-04-4168 HRZZ
Depositing User:	Athanasios Chatzistavrakidis
Date Deposited:	10 Dec 2025 13:42
URI:	http://fulir.irb.hr/id/eprint/10324
DOI:	10.1007/jhep08(2024)231

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