paper

AdS and pp-wave D-particle superalgebras

arXiv:hep-th/0302027 · doi:10.1088/1126-6708/2003/12/016

Abstract

We derive anticommutators of supercharges with a brane charge for a D-particle in AdS(2) x S(2) and pp-wave backgrounds. A coset GL(2|2)/(GL(1))^4 and its Penrose limit are used with the supermatrix-valued coordinates for the AdS and the pp-wave spaces respectively. The brane charges have position dependence, and can be absorbed into bosonic generators by shift of momenta which results in closure of the superalgebras.

15 pages

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