2025/01/25 by Du, Jishen, Huang, Yi-Zhi · 1 citation
#17B69 #18M15 #81T40 #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2501.15003
We study the general twisted intertwining operators (intertwining operators among twisted modules) for a vertex operator algebra V. We give the skew-symmetry and contragredient isomorphisms between spaces of twisted intertwining operators and also prove some other properties of twisted intertwining operators. Using twisted intertwining operators, we introduce a notion of P(z)-tensor product of two objects for z∈ ℂ× in a category of suitable g-twisted V-modules for g in a group of automorphisms of V and give a construction of such a P(z)-tensor product under suitable assumptions. We also construct G-crossed commutativity isomorphisms and G-crossed braiding isomorphisms. We formulate a P(z)-compatibility condition and a P(z)-grading-restriction condition and use these conditions to give another construction of the P(z)-tensor product.