Multiplicative vector fields on bundle gerbes

Lie 2-algebras of symmetries of U(1)-bundle gerbes

“…This paper will survey recent analogous results for manifolds equipped with a closed 3-form, such as 2-plectic manifolds, culminating in a diagram (3.1) analogous to the diagram (1.1). More details may be found in [4,7]. In a different framework, similar results are obtained in the more general setting of higher n-plectic geometry (with n ≥ 2) [5].…”

“…Details on the construction of the butterflies and the proof of the above results can be found in [4,7]. In a different framework-namely, using Čech-Deligne cocycles to model gerbes (equivalent to the class of bundle gerbes known as Hitchin gerbes)-Fiorenza et.…”

Algebraic and geometric reduction of multisymplectic manifolds

“…First, it would be interesting to understand the potential phsyical applicability of our constructions, for example, to the multisymplectic approach to classical field theory advanced in [6]. Second, it would be interesting to relate our classical reduction procedures to recent work on the symmetries of prequantized 2-plectic manifolds [7,11].…”

Geometria 2-plética, algebroides de Courant, e simetrias infinitesimais de S¹-bundle gerbes

“…Também mostramos nesse capítulo a generalização para S 1 -bundle gerbes do resultado conhecido para S 1 -fibrados principais, onde o levantamento horizontal por uma conexão será um morfismo de álgebra de Lie se, e somente se, a curvatura for zero, teorema 6. 3.1 ((KREPSKI;VAUGHAN, 2022)).…”