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

Abstract

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.

8 pages, latex, no figures

References in corpus (16)

• Dirichlet-Branes and Ramond-Ramond Charges
• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Bound States Of Strings And $p$-Branes
• String Solitons
• Duality in the Type--II Superstring Effective Action
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
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• D-branes from M-branes
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• Boundary States of D-Branes and Dy-Strings
• The Power of M Theory
• D-brane actions
• SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
• Comments on Three-Branes
• Point-Like States for Type 2b Superstrings

Cited by in corpus (1)

• Duality-Symmetric Three-Brane and its Coupling to Type IIB Supergravity