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Minkowski superspaces and superstrings as almost real-complex supermanifolds |
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| Authors: | S Bouarroudj P Ya Grozman D A Leites I M Shchepochkina |
| Institution: | 1. Division of Science and Mathematics, New York University Abu Dhabi, Abu Dhabi, U.A.E. 2. Equa Simulation AB, Stockholm, Sweden 3. Department of Mathematics, Stockholm University, Stockholm, Sweden 4. Independent University of Moscow, Moscow, Russia |
| Abstract: | For the Minkowski superspace and superstrings, we define and compute a circumcised analogue of the Nijenhuis tensor, the obstruction to the integrability of an almost real-complex structure. The Nijenhuis tensor vanishes identically only if the superstring superdimension is 1|1 and, moreover, the superstring is endowed with a contact structure. We also show that all real forms of Grassmann algebras are isomorphic, although they are defined by obviously different anti-involutions. |
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