An invitation to higher gauge theory
In this easy introduction to higher gauge theory, we describe parallel transport for particles
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …
and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a …
[BOOK][B] Algebraic operads
JL Loday, B Vallette - 2012 - books.google.com
In many areas of mathematics some “higher operations” are arising. These havebecome so
important that several research projects refer to such expressions. Higher operationsform …
important that several research projects refer to such expressions. Higher operationsform …
Higher-dimensional algebra V: 2-groups
A 2-group is a" categorified" version of a group, in which the underlying set G has been
replaced by a category and the multiplication map has been replaced by a functor. Various …
replaced by a category and the multiplication map has been replaced by a functor. Various …
[BOOK][B] Factorization algebras in quantum field theory
K Costello, O Gwilliam - 2021 - books.google.com
Factorization algebras are local-to-global objects that play a role in classical and quantum
field theory that is similar to the role of sheaves in geometry: they conveniently organize …
field theory that is similar to the role of sheaves in geometry: they conveniently organize …
Global 3-group symmetry and't Hooft anomalies in axion electrodynamics
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 …
1) dimensions. By using the background gauging method, we show that the higher-form …
L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism
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 …
mathematical foundations with an emphasis on higher algebraic structures and classical …
[HTML][HTML] Higher-form symmetries and 3-group in axion electrodynamics
We study higher-form symmetries in a low-energy effective theory of a massless axion
coupled with a photon in (3+ 1) dimensions. It is shown that the higher-form symmetries of …
coupled with a photon in (3+ 1) dimensions. It is shown that the higher-form symmetries of …
Higher gauge theory
Just as gauge theory describes the parallel transport of point particles using connections on
bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (eg …
bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (eg …
Global 4-group symmetry and't Hooft anomalies in topological axion electrodynamics
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 …
of (3+ 1)-dimensional axion electrodynamics in a gapped phase described by a topological …
Reduction of Courant algebroids and generalized complex structures
We present a theory of reduction for Courant algebroids as well as Dirac structures,
generalized complex, and generalized Kähler structures which interpolates between …
generalized complex, and generalized Kähler structures which interpolates between …