Finite factorization equations and sum rules for BPS correlators in N=4 SYM theory
A class of exact non-renormalized extremal correlators of half-BPS operators in N=4 SYM, with U( N) gauge group, is shown to satisfy finite factorization equations reminiscent of topological gauge theories. The finite factorization equations can be generalized, beyond the extremal case, to a class o...
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Published in | Nuclear physics. B Vol. 641; no. 1; pp. 131 - 187 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
07.10.2002
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Subjects | |
Online Access | Get full text |
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Summary: | A class of exact non-renormalized extremal correlators of half-BPS operators in
N=4 SYM, with
U(
N) gauge group, is shown to satisfy finite factorization equations reminiscent of topological gauge theories. The finite factorization equations can be generalized, beyond the extremal case, to a class of correlators involving observables with a simple pattern of
SO(6) charges. The simple group theoretic form of the correlators allows equalities between ratios of correlators in
N=4 SYM and Wilson loops in Chern–Simons theories at
k=∞, correlators of appropriate observables in topological
G/
G models and Wilson loops in two-dimensional Yang–Mills theories. The correlators also obey sum rules which can be generalized to off-extremal correlators. The simplest sum rules can be viewed as large
k limits of the Verlinde formula using the Chern–Simons correspondence. For special classes of correlators, the saturation of the factorization equations by a small subset of the operators in the large
N theory is related to the emergence of semiclassical objects like KK modes and giant gravitons in the dual
AdS×
S background. We comment on an intriguing symmetry between KK modes and giant gravitons. |
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ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/S0550-3213(02)00573-4 |