Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/230694
Title: ANOMALY CANCELLATION IN THE PRESENCE OF A B-FIELD: THE PROJECTIVE CASE
Authors: LABADIE NATHAN AXEL
Keywords: Anomaly cancellation, Index theory, Modularity, Elliptic genera, Projective vector bundles, Pfaffian line bundle
Issue Date: 25-May-2022
Citation: LABADIE NATHAN AXEL (2022-05-25). ANOMALY CANCELLATION IN THE PRESENCE OF A B-FIELD: THE PROJECTIVE CASE. ScholarBank@NUS Repository.
Abstract: Using the modularity of the projective elliptic genera density introduced by Han and Mathai, we derive a new anomaly cancellation formula in the projective case, that is in the presence of a B-field, with flux that lifts to a torsion cohomology class. Then, using the twisted index theory developed by Mathai, Melrose and Singer, a setting is proposed to interpret this projective formula as the vanishing of an anomaly. This leads to new potential anomaly cancellations of anomalous fermions, such as the gravitino and the dilatino with "projective gauginos", existing even on non-spin manifolds.
URI: https://scholarbank.nus.edu.sg/handle/10635/230694
Appears in Collections:Master's Theses (Open)

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