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Self-Duality of Super D3-brane Action on $AdS_{5}\times S^{5}$ Background

Tadahiko Kimura
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Abstract

We show that the super D3-brane action on $AdS_5 \times S^5$ background recently constructed by Metsaev and Tseytlin is exactly invariant under the combination of the electric-magnetic duality transformation of the worldvolume gauge field and the SO(2) rotaion of N=2 spinor coordinates. The action is shown to satisfy the Gaillard-Zumino duality condition, which is a necessary and sufficient condition for a action to be self-dual. Our proof needs no gauge fixing for the $κ$-symmetry.

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Tadahiko Kimura. 1998-10-19. Self-Duality of Super D3-brane Action on $AdS_{5}\times S^{5}$ Background. https://doi.org/10.1142/s0217732399000377

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