Page charge of D-branes and its behavior in topologically nontrivial B-fields
Jian-Ge Zhou
TL;DR
This paper investigates the behavior of RR Page charges for D-branes in type IIB supergravity with B-fields, revealing their topologically dependent conservation properties and interpreting charge jumps as Hanany-Witten effects.
Contribution
It constructs B-independent Page charges from brane source currents and analyzes their non-conservation in topologically nontrivial B-fields, linking to Hanany-Witten phenomena.
Findings
Page charges are B-independent despite complex backgrounds
In topologically trivial B-fields, Page charge is conserved
In topologically nontrivial B-fields, Page charge jumps occur, interpreted as Hanany-Witten effects
Abstract
The RR Page charges for the D(2p+1)-branes with B-field in type IIB supergravity are constructed consistently from brane source currents. The resulting Page charges are B-independent in the nontrivial and intricate way. It is found that in topologically trivial B-field the Page charge is conserved, but in the topologically nontrivial B-field it is no longer to be conserved, instead there is a jump between two Page charges defined in each patch, and we interpret this jump as Hanany-Witten effect.
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