By Rowena Ball; Nail N Akhmediev (eds.)
Anomalies are ubiquitous good points in quantum box theories. they could destroy the consistency of such theories and positioned major regulations on their viability, particularly in dimensions larger than 4. international gauge and gravitational anomalies are to this point, one of many scant robust and probing instruments to be had to physicists within the pursuit of uniqueness.This monograph is likely one of the only a few that makes a speciality of the learn of worldwide anomalies in quantum box theories. A dialogue of varied concerns linked to 3 dimensional physics - the Chern-Simons-Witten theories - widen the scope of this e-book. subject matters mentioned right here includes: the continuing quest for three-manifolds invariant, the position of the mapping type teams in (a) the detection and cancellation of worldwide anomalies, (b) formulating three-manifolds invariant; the geometric quantization of Chern-Simons-Witten theories; deformation quantization; examine of chiral and gravitational anomalies; anomalies and the Atiyah-Patodi-Singer Index theorem; unique spheres; worldwide gravitational anomalies in a few six and ten dimensional supergravity and superstring theories, with an extra case examine of Witten Su(2) international Gauge Anomalies. furthermore, 5 chapters lay out the mathematical foundation for a radical use of the subjects above. One bankruptcy makes a speciality of the connection among Teichmüller areas, moduli areas and mapping type teams. one other bankruptcy is dedicated to mapping classification teams and mathematics teams. Gauge theories on Riemann surfaces are reports in good over chapters, the 1st one based at the thought of bundles and the second one on connections.Many readers will locate this an invaluable e-book, specifically theoretical physicists and mathematicians
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