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Solving the AdS/CFT Y-system

Nikolay Gromov
(
- King's Coll. London, Dept. Math and
- St. Petersburg, INP
)
,
Vladimir Kazakov
(
- Ecole Normale Superieure and
- Paris, Lab. Kastler Brossel
)
,
Sebastien Leurent
(
- Ecole Normale Superieure
)
,
Dmytro Volin
(
- Penn State U. and
- BITP, Kiev
)

Oct, 2011

60 pages

Published in:

JHEP 07 (2012) 023

e-Print:

1110.0562 [hep-th]

DOI:

10.1007/JHEP07(2012)023

Report number:

LPTENS-11-24

View in:

reference search90 citations

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Abstract: (arXiv)

Using integrability and analyticity properties of the AdS5/CFT4 Y-system we reduce it to a finite set of nonlinear integral equations. The Z4 symmetry of the underlying coset sigma model, in its quantum version, allows for a deeper insight into the analyticity structure of the underlying Y-functions and T-functions, as well as for their analyticity friendly parameterization in terms of Wronskian determinants of Q-functions. As a check for the new equations, we reproduce the numerical results for the Konishi operator previously obtained from the original infinite Y-system.

Note:

62 pages, 11 figures/ version 3: published version

AdS/CFT
Integrability
integral equations: nonlinear
operator: Konishi
symmetry: Z(4)
AdS/CFT correspondence
integrability
coset space
sigma model
field theory: conformal

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