Symmetry is usually defined via transformations described by a (higher) group. But a
symmetry really corresponds to an algebra of local symmetric operators, which directly …

We give a covariant realization of the doubled sigma-model formulation of duality-symmetric
string theory within the general framework of para-Hermitian geometry. We define a notion of …

This survey article is an invited contribution to the Encyclopedia of Mathematical Physics,
2nd edition. We provide an accessible overview on relevant applications of higher and …

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 …

It is well known that symmetry, higher symmetry,[1–4] gravitational anomaly,[5, 6] and
anomalous (higher) symmetry [7] can all constrain the properties of quantum many-body …

We compute the $ L_\infty $-theoretic dimensional reduction of the F1/D $ p $-brane super $
L_\infty $-cocycles with coefficients in rationalized twisted K-theory from the 10d type IIA and …

Abstract Kaluza‐Klein Theory states that a metric on the total space of a principal bundle, if it
is invariant under the principal action of P, naturally reduces to a metric together with a …

We propose a global geometric framework which allows one to encode a natural non-
perturbative generalisation of usual Batalin-Vilkovisky (BV-) theory. Namely, we construct a …

We derive the complete cocycle description for non-Abelian gerbes with connections whose
structure 2-group is a 2-group with adjustment datum. We depart from the common fake-flat …

We describe T-duality between general geometric and non-geometric backgrounds as
higher groupoid bundles with connections. Our description extends the previous observation …