TL;DR
This paper develops a framework for constructing spinors associated with the diffeomorphism group of p-brane world volumes, linking nonlinear realizations to explicit algebraic structures like Virasoro and Neveu-Schwarz-Ramond algebras.
Contribution
It introduces a novel algebraic construction of infinite-dimensional spinors for p-brane symmetries using nonlinear realization techniques.
Findings
Explicit construction of linear subgroup spinors
Algebraic realization of Virasoro algebra
Extension to Neveu-Schwarz-Ramond algebra
Abstract
The group of the p-brane world volume preserving diffeomorphism is considered. The infinite-dimensional spinors of this group are related, by the nonlinear realization techniques, to the corresponding spinors of its linear subgroup, that are constructed explicitly. An algebraic construction of the Virasoro and Neveu-Schwarz-Ramond algebras, based on this infinite-dimensional spinors and tensors, is demonstrated.
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