A bstract We investigate a higher-group structure of massless axion electrodynamics in (3+
1) dimensions. By using the background gauging method, we show that the higher-form …

We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its
mathematical foundations with an emphasis on higher algebraic structures and classical …

We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …

We study higher-form global symmetries and a higher-group structure of a low-energy limit
of (3+ 1)-dimensional axion electrodynamics in a gapped phase described by a topological …

This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical
Physics, 2nd edition. In particular, we provide a lightning introduction to higher structures …

Using a convolutive field-theoretic product, it is shown here that the “square” of an Abelian
D= 6, N=(2, 0) theory yields the free D= 6, N=(4, 0) theory constructed by Hull, together with …

We summarise some of our recent works on‐algebras and quasi‐groups with regard to
higher principal bundles and their applications in twistor theory and gauge theory. In …

A bstract We discuss the BCF anomaly of massless QCD-like theories, first obtained by
Anber and Poppitz, from the viewpoint of the low energy effective theories. We assume that …

We introduce a moment map picture for holomorphic string algebroids where the
Hamiltonian gauge action is described by means of inner automorphisms of Courant …

In this paper, we develop the mathematical formulation of metric string structures. These play
a crucial role in the formulation of certain six‐dimensional superconformal field theories and …