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Localisation with on-shell supersymmetry algebras via the Batalin-Vilkovisky formalism: Localisation as gauge fixing
Leron Borsten, Dimitri Kanakaris, Hyungrok Kim
The Batalin-Vilkovisky formalism provides a powerful technique to deal with gauge and global (super)symmetries that may only hold on shell. We argue that, since global (super)symme…
Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation
Leron Borsten, Dimitri Kanakaris, Hyungrok Kim
Viewed through the lens of the Batalin-Vilkovisky formalism, we demonstrate that higher-form currents with nonzero ghost number also define higher-form symmetries, directly analogo…
Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity
Leron Borsten, Dimitri Kanakaris, Hyungrok Kim
We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-Ševera-Valach that manifest the centre symmetries of Chern-Simons theory and Y…
Twisted Homotopy Algebras: Supersymmetric Twists, Spontaneous Symmetry Breaking, Anomalies and Localisation
Leron Borsten, Simon Jonsson, Dimitri Kanakaris +1
Twisting and classical background fields are two foundational techniques in supersymmetric quantum field theory, central to developments ranging from the Higgs mechanism to topolog…
Duality Anomalies in Linearized Gravity
Leron Borsten, Michael J. Duff, Dimitri Kanakaris +1
Classical linearized gravity admits a dual formulation in terms of a higher-rank tensor field. Proposing a prescription for the instanton sectors of linearized gravity and its dual…
Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models
Alex S. Arvanitakis, Leron Borsten, Dimitri Kanakaris +1
Manin theories are a class of non-topological deformations of Chern-Simons theories that naturally realise the third-way mechanism and furthermore admit localisation despite not be…