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Bundle gerbes for orientifold sigma models. (English) Zbl 1280.81089
Authors’ abstract: Bundle gerbes with connection and their modules play an important role in the theory of two-dimensional sigma models with a background Wess-Zumino flux: their holonomy determines the contribution of the flux to the Feynman amplitudes of classical fields. We discuss additional structures on bundle gerbes and gerbe modules needed in similar constructions for orientifold sigma models describing closed and open strings.

MSC:
81T10 Model quantum field theories
81T50 Anomalies in quantum field theory
81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry
53C08 Differential geometric aspects of gerbes and differential characters
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory
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