标题： n维BF型理论类的哈密顿BRST变形 显示英文标题

标题： Hamiltonian BRST deformation of a class of n-dimensional BF-type theories

摘要： 在任意 \(n \geq 4\) 维时空上，可以添加到阿贝尔自由 BF 型理论中的相容哈密顿相互作用，在基于上同调技术的哈密顿 BRST 变形框架下被构造出来。所得到的模型是高维相互作用场论，具有开代数的对称约束。我们论证了哈密顿耦合与目标空间上的泊松流形自然结构有关。 显示英文摘要

摘要： Consistent Hamiltonian interactions that can be added to an abelian free BF-type class of theories in any n greater or equal to 4 spacetime dimensions are constructed in the framework of the Hamiltonian BRST deformation based on cohomological techniques. The resulting model is an interacting field theory in higher dimensions with an open algebra of on-shell reducible first-class constraints. We argue that the Hamiltonian couplings are related to a natural structure of Poisson manifold on the target space.