S Duality and Dyonic p-Brane Solutions in Type II String Theory

Abstract

We show how a solitonic ``magnetically'' charged $p$-brane solution of a given supergravity theory, with the magnetic charge carried by an antisymmetric tensor gauge field, can be generalized to a dyonic solution. We discuss the cases of ten-dimensional and eleven-dimensional supergravity in more detail and a new dyonic five-brane solution in ten dimensions is given. Unlike the purely electrically or magnetically charged five-brane solution the dyonic five-brane contains non-zero Ramond--Ramond fields and is therefore an intrinsically type~II solution. The solution preserves half of the type~II spacetime supersymmetries. It is obtained by applying a solution-generating $SL(2,\mathbb{R})\times SL(2,\mathbb{R})$ $S$~duality transformation to the purely magnetically charged five-brane solution. One of the $SL(2,\mathbb{R})$ duality transformations is basically an extension to the type~II case of the six-dimensional ${\mathbb{Z}}_2$ string/string duality. We also present an action underlying the type IIB supergravity theory.

18 pages, latex file. Minor changes in text

References in corpus (10)

• Unity of Superstring Dualities
• Duality in the Type--II Superstring Effective Action
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• The Heterotic String is a Soliton
• Black and super p-branes in diverse dimensions
• STRING STRING DUALITY CONJECTURE IN SIX DIMENSIONS AND CHARGED SOLITONIC STRINGS
• Ten Dimensional Heterotic String as a Soliton
• String-String Duality in Ten Dimensions
• Dual Pairs of Type II String Compactification
• Supersymmetry and Dual String Solitons

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