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D5-brane type I superstring background fields in terms of type IIB ones by canonical method and T-duality approach. (English) Zbl 1206.81108
Summary: We consider type IIB superstring theory with embedded $$D5$$-brane and choose boundary conditions which preserve half of the initial supersymmetry. In the canonical approach that we use, boundary conditions are treated as canonical constraints. The effective theory, obtained from the initial one on the solution of boundary conditions, has the form of the type I superstring theory with embedded $$D5$$-brane. We obtain the expressions for $$D5$$-brane background fields of type I theory in terms of the $$D5$$-brane background fields of type IIB theory. We show that beside known $$\Omega$$ even fields, they contain squares of $$\Omega$$ odd ones, where $$\Omega$$ is world-sheet parity transformation, $$\Omega :\sigma \rightarrow - \sigma$$. We relate result of this paper and the results of Nikolić and Sazdović (2008) using T-dualities along four directions orthogonal to $$D5$$-brane.

##### MSC:
 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics
##### Keywords:
$$D5$$-brane; canonical method; T-duality
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##### References:
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