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The off-shell symmetry algebra of the light-cone AdS5 × S5 superstring

Gleb Arutyunov1,5, Sergey Frolov2,5, Jan Plefka3 and Marija Zamaklar4

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We analyse the {\alg{psu}}(2,2|4) supersymmetry algebra of a superstring propagating in the AdS5 × S5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the {\alg{psu}}(2|2)\oplus{\alg{psu}}(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual {\cal N}=4 gauge theory.


PACS

11.30.Pb Supersymmetry

11.25.-w Strings and branes

11.55.-m S-matrix theory; analytic structure of amplitudes

11.15.-q Gauge field theories

MSC

81U20 S-matrix theory, etc.

81T60 Supersymmetric field theories

81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations (See also 17B65, 17B67, 22E65, 22E67, 22E70)

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

17B68 Virasoro and related algebras

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

Subjects

Particle physics and field theory

Dates

Issue 13 (30 March 2007)

Received 19 November 2006

Published 14 March 2007



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