Abstract
We give a rigorous definition of Witten'sC *-string-algebra. To this end we present a new construction ofC *-algebras associated to special geometric situations (Kähler foliations) and generalize this later construction to the string case. Through this we get a natural geometrical interpretation of the string of semi-infinite forms as well as the fermionic algebra structure. Using the (non-commutative) geometric concepts for investigating the string algebra we get a natural Fredholm module representation of dimension 26+.
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Communicated by A. Jaffe
Work partially supported by the DFG (under contract MU 75712.3)
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Wiesbrock, HW. TheC*-algebra of bosonic strings. Commun.Math. Phys. 136, 369–397 (1991). https://doi.org/10.1007/BF02100031
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DOI: https://doi.org/10.1007/BF02100031