Central Extensions of Supersymmetry in Four and Three Dimensions

Abstract

We consider the maximal central extension of the supertranslation algebra in d=4 and 3, which includes tensor central charges associated to topological defects such as domain walls (membranes) and strings. We show that for all N-extended superalgebras these charges are related to nontrivial configurations on the scalar moduli space. For N=2 theories obtained from compactification on Calabi-Yau threefolds, we give an explicit realization of the moduli-dependent charges in terms of wrapped branes.

arXiv comment11 pages. Sections 2 and 4 expanded, misprints corrected, references added

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• Supersymmetry and Attractors
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• Black Hole Condensation and the Unification of String Vacua
• Second-Quantized Mirror Symmetry
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