Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Quantum theories of (p,q)-forms

QMAP Seminar

Speaker: Roberto Bonezzi, Bologna University
Location: 2112 MSB
Start time: Tue, Jun 5 2012, 4:10PM

We describe quantum theories for massless (p,q)-forms living on Kaehler spaces. Their field equations can be obtained in a natural way by first-quantizing a spinning particle with a U(2)-extended supersymmetry on the worldline. The particle system contains four supersymmetric charges, represented quantum mechanically by the Dolbeault operators and their hermitian conjugates. We investigate their one loop effective actions, identify corresponding heat kernel coecients, and derive exact duality relations. The dualities are seen to include mismatches related to topological indices and analytic torsions.