Complex Differential Geometry and Supermanifolds in Strings and Fields: Proceedings of the Seventh Scheveningen Conference, Scheveningen, The Netherlands, August 23–28, 1987Petrus J.M. Bongaarts, R. Martini This volume deals with one of the most active fields of research in mathematical physics: the use of geometric and topological methods in field theory. The emphasis in these proceedings is on complex differential geometry, in particular on Kähler manifolds, supermanifolds, and graded manifolds. From the point of view of physics the main topics were field theory, string theory and problems from elementary particle theory involving supersymmetry. The lectures show a remarkable unity of approach and are considerably related to each other. They should be of great value to researchers and graduate students. |
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adjoint algebra homomorphism anticommuting Berezin integration Berezinian bosonic chiral coalgebra commutative complex structure consider construction coordinate corresponding coset space covariant curvature CY manifold defined definition denote derivative differential dimension dual coalgebra Dynkin diagram equation example fermionic Feynman-Kac formula field theory finite dimensional follows functions G-invariant gauge field gauge group geometry given graded manifolds Grassmann hence homogeneous Kähler manifolds interactions invariant Kähler manifold Kähler metric Kähler potential kernel lecture Lett Lie algebra Lie group linear Mathematics measure metric g non-linear Nucl operator parameters particle path integration Phys physics preprint proof quantization quantum representation Ricci Rindler root scalar Schwarzschild smooth maps space-time string theory subcoalgebra subgroup subspace super superfield supermanifolds superspace superstrings supersymmetric symmetry tensor topology transformation variables vector bundle vector fields Virasoro Weyl chamber Witt supermanifolds αε