Poisson Q-supermanifolds and differential Poisson sigma-models

Basile, T.; Chatzistavrakidis, Athanasios; Hrelja, Axel; Lavau, S. (2025) Poisson Q-supermanifolds and differential Poisson sigma-models. Journal of Physics: Conference Series, 3152 (1). ISSN 1742-6596

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Abstract

We perform a systematic construction of supersymmetric Poisson sigma-models with an additional global supersymmetry in the geometric approach of Poisson Q-supermanifolds. Our analysis unifies Jackiw-Teitelboim supergravity and differential Poisson sigma-models exhibiting de Rham supersymmetry and reveals the existence of new models in the same family, such as a model with Lichnerowicz–Poisson supersymmetry, one based on a symmetric bilinear form and a class of models with super-Poisson structure of inhomogeneous degree. We emphasize the relation of the coadjoint representation of Lie algebroids to the global supersymmetry of these sigma-models.

Item Type:	Article
Uncontrolled Keywords:	supersymmetric Poisson sigma-model; Poisson Q-supermanifolds
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Više strukture i simetrije u baždarnim i teorijama gravitacije Athanasios Chatzistavrakidis IP-2024-05-7921 HrZZ
Depositing User:	Lorena Palameta
Date Deposited:	03 Mar 2026 13:15
URI:	http://fulir.irb.hr/id/eprint/11296
DOI:	10.1088/1742-6596/3152/1/012033

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