Supersymmetric null-surfaces

Details Supersymmetric null-surfaces Supersymmetric null-surfaces

2004-04-22

arxiv.org/abs/hep-th/0404173v4

JHEP0409:068,2004

Physics

High Energy Physics

High Energy Physics - Theory

v4: added a reference to the earlier work; corrected the formula for the stabilizer of the BMN vacuum; added the discussion of

Scientific paper

10.1088/1126-6708/2004/09/068

Single trace operators with the large R-charge in supersymmetric Yang-Mills theory correspond to the null-surfaces in $AdS_5\times S^5$. 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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