A Canonical Approach to Self-Duality of Dirichlet $3$-Brane

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, latex, no figures

Scientific paper

10.1016/S0370-2693(97)00051-8

The self-duality of Dirichlet $3$-brane action under the $SL(2,R)$ duality transformation of type IIB superstring theory is shown in the Hamiltonian form of the path integral for the partition function by performing the direct integration with respect to the boundary gauge field. Through the integration in the phase space the canonical momentum conjugate to the boundary gauge field can be effectively replaced by the dual gauge field.

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