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Supersymmetric null-surfaces

Mikhailov, Andrei (2004) Supersymmetric null-surfaces. Journal of High Energy Physics, 2004 (9). Art. No.-068. ISSN 1126-6708. doi:10.1088/1126-6708/2004/09/068.

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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.

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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.
Subject Keywords:superstrings and heterotic strings, AdS-CFT and dS-CFT correspondence, superspaces, differential and algebraic geometry, ADS(5) X S-5, YANG-MILLS THEORY, DILATATION OPERATOR, SPIN CHAIN, SUPERTWISTORS
Issue or Number:9
Record Number:CaltechAUTHORS:MIKjhep04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:611
Deposited By: Tony Diaz
Deposited On:02 Sep 2005
Last Modified:08 Nov 2021 19:03

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