Complete Spectrum of Long Operators in N=4 SYM at One Loop

Details Complete Spectrum of Long Operators in N=4 SYM at One Loop Complete Spectrum of Long Operators in N=4 SYM at One Loop

2005-03-25

arxiv.org/abs/hep-th/0503200v3

JHEP 0507:030,2005

Physics

High Energy Physics

High Energy Physics - Theory

Dedicated to the memory of Hans Bethe, 50 pages, v2: references added, minor corrections, v3: reference, typo, to appear in JH

Scientific paper

10.1088/1126-6708/2005/07/030

We construct the complete spectral curve for an arbitrary local operator, including fermions and covariant derivatives, of one-loop N=4 gauge theory in the thermodynamic limit. This curve perfectly reproduces the Frolov-Tseytlin limit of the full spectral curve of classical strings on AdS_5xS^5 derived in hep-th/0502226. To complete the comparison we introduce stacks, novel bound states of roots of different flavors which arise in the thermodynamic limit of the corresponding Bethe ansatz equations. We furthermore show the equivalence of various types of Bethe equations for the underlying su(2,2|4) superalgebra, in particular of the type "Beauty" and "Beast".

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