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Instances of Higher Geometry in Field Theory
Athanasios Chatzistavrakidis
Generalisations of geometry have emerged in various forms in the study of field theory and quantization. This mini-review focuses on the role of higher geometry in three selected p…
Twisted R-Poisson Sigma Models
Athanasios Chatzistavrakidis
The AKSZ construction was developed as a geometrical formalism to find the solution to the classical master equation in the BV quantization of topological branes based on the conce…
Topological Dirac Sigma Models and the Classical Master Equation
Athanasios Chatzistavrakidis, Larisa Jonke, Thomas Strobl +1
We present the construction of the classical Batalin-Vilkovisky action for topological Dirac sigma models. The latter are two-dimensional topological field theories that simultaneo…
The BV action of 3D twisted R-Poisson sigma models
Athanasios Chatzistavrakidis, Noriaki Ikeda, Grgur Šimunić
We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical structure of a twisted R-Poisson ma…
Duality, generalized global symmetries and jet space isometries
Athanasios Chatzistavrakidis, Georgios Karagiannis, Arash Ranjbar
We revisit universal features of duality in linear and nonlinear relativistic scalar and Abelian 1-form theories with single or multiple fields, which exhibit ordinary or generaliz…