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Published September 1, 2004 | public
Journal Article Open

Supersymmetric null-surfaces

Abstract

Single trace operators with the large R-charge in supersymmetric Yang-Mills theory correspond to the null-surfaces in AdS(5) x S-5. We argue that the moduli space of the null-surfaces is the space of contours in the super-grassmanian parametrizing the complex (2|2)-dimensional subspaces of the complex (4|4)-dimensional space. The odd coordinates on this super-grassmanian correspond to the fermionic degrees of freedom of the superstring.

Additional Information

© Institute of Physics and IOP Publishing Limited 2004. Received 23 September 2004, accepted for publication 29 September 2004. Published 19 October 2004. I would like to thank I. Bars, J. Gomis, A. Kapustin, J.H. Schwarz and E. Witten for discussions. This research was supported by the Sherman Fairchild Fellowship and in part by the RFBR Grant No. 03-02-17373 and in part by the Russian Grant for the support of the scientific schools No. 00-15-96557.

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August 22, 2023
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