Wess-Zumino terms for AdS D-branes
Machiko Hatsuda, Kiyoshi Kamimura
TL;DR
This paper derives Wess-Zumino terms for D-branes in AdS space using supergroup currents, revealing no topological extension of the super-AdS algebra and connecting D-instantons to specific coset degrees of freedom.
Contribution
It provides a new formulation of Wess-Zumino terms for AdS D-branes via supergroup currents and clarifies the algebraic structure and instanton description.
Findings
Wess-Zumino terms expressed with supergroup currents
No topological extension of super-AdS algebra
D-instanton described by GL(1) degree of freedom
Abstract
We show that Wess-Zumino terms for D-p branes with p>0 in the Anti-de Sitter (AdS) space are given in terms of "left-invariant" currents on the super-AdS group or the "expanded" super-AdS group. As a result there is no topological extension of the super-AdS algebra. In the flat limit the global Lorentz rotational charges of the AdS space turn out to be brane charges of the supertranslation algebra representing the BPS mass. We also show that a D-instanton is described by the GL(1) degree of freedom in the Roiban-Siegel formalism based on the GL(4|4)/[Sp(4)xGL(1)]^2 coset.
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