Complex Differential Geometry and Supermanifolds in Strings and Fields

1. Front Matter

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2. Supersymmetric sigma models and Kähler manifolds

   • Michael Forger

   Pages 1-46

3. Nonlinear realizations, Kähler manifolds and the Virasoro manifold

   • Julius Wess

   Pages 47-61

4. In search of the graded manifold of maps between graded manifolds

   • M. Batchelor

   Pages 62-113

5. Path integration in superspace

   • Alice Rogers

   Pages 114-149

6. Supermanifolds, supersymmetry and berezin integration

   • Peter Bryant

   Pages 150-167

7. Berezin integration and dimensional reduction

   • P. D. Jarvis

   Pages 168-174

8. Aspects of string theory

   • D. G. Caldi

   Pages 175-216

9. Field and string quantization in curved space-tines

   • Norma Sanchez

   Pages 217-247

10. Back Matter

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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.

• differential geometry
• field theory
• geometry
• manifold
• mathematical physics
• quantization
• superspace

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