TL;DR
This paper calculates the RR charges of D2-branes in a background with nontrivial H-field, revealing dependence on the background electric RR field and clarifying previous ambiguities in the SU(2) WZW model.
Contribution
It provides a detailed computation of RR charges on D2-branes with nontrivial H-field, highlighting their dependence on background RR configurations.
Findings
RR charge depends on background electric RR field
Clarifies ambiguity in RR charge definition in SU(2) WZW model
Shows RR charge varies with background configuration
Abstract
We compute RR charges of D2-branes on a background with H-field which belongs to a nontrivial cohomology class. We discover that the RR charge depends on the configuration of the background `electric' RR field. This result explains the ambiguity in the definition of the RR charge previously observed in the SU(2) WZW model.
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